PPA-1021

PPA-1021

  • 厂商:

    MIDE(米德)

  • 封装:

    -

  • 描述:

    PPA-1021

  • 数据手册
  • 价格&库存
PPA-1021 数据手册
PPA PRODUCTS Datasheet & User Manual Table of Contents 0.0 General Information������������������������������������������������������������������������������������������������������������������� 4 0.1 Copyright �������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������4 0.2 Warranty����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������4 0.3 Safety Precautions���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������4 0.4 Introduction���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������4 1.0 Product Summary����������������������������������������������������������������������������������������������������������������������� 5 1.1 Overview���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������5 1.2 Volume Pricing����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������6 1.3.1 Vibration Energy Harvesting..........................................................................................................................................................7 1.3.2 Actuation..............................................................................................................................................................................................8 1.3.3. Sensing.................................................................................................................................................................................................8 1.3.4. Vibration Dampening......................................................................................................................................................................9 2.0 Product Data����������������������������������������������������������������������������������������������������������������������������� 10 2.1 Product: PPA-1001 ����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� 10 2.2 Product: PPA-1011������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 14 2.3 Product: PPA-1012������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 18 2.4 Product: PPA-1013������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 22 2.5 Product: PPA-1014������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 23 2.6 Product: PPA-1021������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 27 2.7 Product: PPA-1022������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 31 2.8 Product: PPA-2011������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 35 2.9 Product: PPA-2014������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 39 2.10 Product: PPA-4011��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� 43 3.0 Electrical Connection��������������������������������������������������������������������������������������������������������������� 47 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Piezo Polarity & Connecting Multiple Piezos���������������������������������������������������������������������������������������������������������������������������������� 47 Solder������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������ 47 PPA-7001 Ring Terminal Cable������������������������������������������������������������������������������������������������������������������������������������������������������������� 48 Conductive Hardware Directly to PCB���������������������������������������������������������������������������������������������������������������������������������������������� 48 Spring Loaded Contacts (Pogo Pins)������������������������������������������������������������������������������������������������������������������������������������������������� 48 IC Hook and Alligator Clips������������������������������������������������������������������������������������������������������������������������������������������������������������������� 49 Connectors�������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� 49 4.0 Clamping/Mounting������������������������������������������������������������������������������������������������������������������ 50 4.1 PPA-9001 Clamp Kit��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������� 50 4.1.1. List of Contents............................................................................................................................................................................... 50 4.1.2. Clamp Location............................................................................................................................................................................... 51 4.1.3. Clamping Instructions.................................................................................................................................................................. 52 4.1.4. Example Configurations.............................................................................................................................................................. 52 4.2 PPA-9004 Clamp Enclosure Kit������������������������������������������������������������������������������������������������������������������������������������������������������������� 53 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 2 of 70 4.2.1. List of Contents................................................................................................................................................................................53 4.2.2. Clamp Locations .............................................................................................................................................................................55 4.2.3. Clamping Instructions..................................................................................................................................................................56 4.2.4. Example Configurations...............................................................................................................................................................57 4.2.5. PPA-5003 Tip Mass Accessory.....................................................................................................................................................57 4.3 PPA-5004/5/6/7 Clamp Plates................................................................................................................................................................58 4.4 Tuning�����������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������60 4.4.1. Calculating the Required Tip Mass..........................................................................................................................................60 4.4.2. Adding Tip Mass.............................................................................................................................................................................60 4.4.3. Determining the Characteristics of the Vibration Source...............................................................................................61 4.4.4. Determining Resonance of the Piezo Beam.........................................................................................................................61 4.5 Bonding��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������61 5.0 Material Properties�������������������������������������������������������������������������������������������������������������������62 5.1 Piezoelectric Properties��������������������������������������������������������������������������������������������������������������������������������������������������������������������������62 5.2 Packaging Materials ��������������������������������������������������������������������������������������������������������������������������������������������������������������������������������63 6.0 Testing Methods�����������������������������������������������������������������������������������������������������������������������64 6.1 6.2 6.3 6.4 Energy Harvesting������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������64 Static Defection/Block Force����������������������������������������������������������������������������������������������������������������������������������������������������������������64 Frequency Sweep�������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������65 Sensitivity/Power Bandwidth ��������������������������������������������������������������������������������������������������������������������������������������������������������������65 7.0 Custom Solutions����������������������������������������������������������������������������������������������������������������������66 8.0 Troubleshooting�����������������������������������������������������������������������������������������������������������������������67 8.1 Frequently Asked Questions�����������������������������������������������������������������������������������������������������������������������������������������������������������������67 8.2 Product Support���������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������70 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 3 of 70 0.0 GENERAL INFORMATION 0.1 COPYRIGHT This datasheet and the design data which it describes are copyright with all rights reserved. None of the data may be copied without the express written consent of Midé Technology Corporation. Refer to Midé Technology Corporation’s full Copyright Policy at http://www.mide.com/legal/legal_copyright.php for the full legal terms in regard to this copyright. 0.2 WARRANTY Midé Technology Corporation warrants that the PPA standard products will be free from defects in workmanship and materials in normal use and operation within 3 months from date of shipment. This warranty only applies when the products are installed, maintained, and repaired in accordance with all of the directions, instructions, diagrams, safety warnings, cautions, and other notices set forth in this document, and if not damaged by persons, actions, or inactions unrelated to Midé. In the event of any such defect of which Midé is informed in writing within such 3 month period, Midé’s sole responsibility is, at Midé’s option, to provide a replacement at no cost to the Buyer upon the return of the defective product. Requests for compliance with this express, limited warranty shall be honored only when made by the Buyer. Refer to the Terms and Conditions at http:// www.mide.com/legal/legal_terms.php#4 for the full legal terms in regard to this warranty. 0.3 SAFETY PRECAUTIONS A number of warnings and cautions appear in the text of this technical manual. They are intended to safeguard personnel and equipment from potential hazards or damage during equipment installation, operation, and maintenance. These warnings and cautions will be presented in the following manner. WARNING: This represents an operating procedure, practice condition, statement, etc., which if not strictly observed, could result in injury to personnel or long term health hazards. CAUTION: This represents an operating procedure, practice condition, statement, etc., which if not strictly observed, could result in damage to, or destruction of, equipment or a reduction in performance. In addition to the specific warnings and cautions included in this manual, Midé recommends that all customers install, operate, and maintain the products in accordance with general safety guidelines included in standards published by OSHA. 0.4 INTRODUCTION Midé’s piezo standard products utilize its Piezo Protection Advantage (PPA) to protect the piezo ceramic wafers. Midé’s packaging also enables cost effective system integration with mounting features and electrical connection incorporated into the piezoelectric package. Midé has been manufacturing packaged piezos with its patented process for over 15 years; it typically produces between 25,000 and 50,000 units annually. In addition to the manufacturing experience Midé has gained over the years, it has engineered many custom electromechanical solutions that integrate its packaged piezos to solve a wide range of engineering problems. The PPA standard product line are a range of rectangular piezoelectric packages designed for cantilever, bonded, or fixed beam configurations. Applications for these products include vibration energy harvesting, vibration dampening, precise actuation (especially useful for haptic and valve applications), vibration & strain sensing, as well as many others. Although this product line focuses on rectangular piezos, Midé can design and manufacture a wide range of shapes and sizes. Please refer to Section 7 if a custom design is required. This datasheet provides comprehensive data for all products. Section 1 provides performance summary information for the main applications of these products and also higher volume pricing for comparison. Section 2 provides more in depth information by product. Section 3 details how electrical connection to the piezos can be achieved. Section 4 explains how these products should be mounted when in the cantilever position and includes detailed information on the PPA-9001 clamp kit. This kit is recommended for all products when they are being evaluated in the cantilever configuration. This kit includes all the necessary hardware to mount and clamp the products, tip masses to tune the beams to resonance, necessary tools for the hardware and electrical tape for insulation. Also included in this section is the recommended epoxy for direct bonding applications. Section 5 provides the material properties for modeling and simulation. Section 6 details the test procedures used to gather all data presented in this datasheet. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 4 of 70 1.0 PRODUCT SUMMARY 1.1 OVERVIEW Figure 1: Provides an overview of these products as well as to scale drawing for size comparison. Products PPA-1001 PPA-1011 PPA-2011 PPA-4011 PPA-1012 PPA-1013 PPA-1014 PPA-2014 PPA-1021 PPA-1022 Length (mm) [mils] (54.4) [2.14] (71.0) [2.80] (71.0) [2.80] (71.0) [2.80] (53.0) [2.09] (71.0) [2.80] (53.0) [2.09] Width (mm) [mils] (22.4) [0.88] (25.4) [1.00] (41.5) [1.63] (41.5) [1.63] (20.8) [0.82] (10.3) [0.41] (10.3) [0.41] Thickness (mm) [mils] (0.46) [18.0] (0.71) [28.0] (0.75) [29.5] (1.94) [76.5] (0.74) [29.0] (0.74) [29.0] (0.76) [30.0] (0.80) [31.5] (0.83) [32.5] (0.86) [34.0] (1.32) [52.0] (0.70) [27.4] (0.70) [27.4] Piezo Length (mm) [mils] (46.0) [1.81] (46.0) [1.81] (46.0) [1.81] (46.0) [1.81] (27.8) [1.09] (46.0) [1.81] (21.6) [0.85] Piezo Width (mm) [mils] (20.8) [0.82] (20.8) [0.82] (38.4) [1.51] (33.4) [1.31] (18.0) [0.71] (06.4) [0.25] (03.7) [0.15] Piezo Thickness (mm) [mils] (0.18) [06.0] (0.18) [06.0] (0.25) [10.0] (1.47) [58.0] (0.19) [07.5] (0.25) [10.0] (0.18) [07.0] Number of Piezo Layers 1 1 2 4 1 1 1 2 1 1 Piezo Materials PZT-5H PZT-5H PZT-5H PZT-5H PZT-5H PZT-5H PZT-5H Capacitance (nF) 100 97 190 415 120 24 41 94 22 7 Mass (grams) 2.8 3.0 4.0 7.6 6.0 21.5 2.0 2.9 1.4 0.8 Figure 1: The PPA standard product range is shown to scale, with a United States quarter included as a reference scale. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 5 of 70 1.0 PRODUCT SUMMARY These products come in 8 product sets, grouped by form factor. Within each set, the first numerical digit in the product part number designates the number of piezo layers. These PPA products come as unimorph (single layer), bimorph (two active piezo layers) and quad-morphs (four active layers). One product set, PPA-103X, is differentiated by piezoelectric material. PMN-PT, PZT-5H, and PZT-5A material choices are available. See Section 5.1 for more information on piezoelectric material properties. 1.2 VOLUME PRICING Midé’s PPA product line offers cost effective piezoelectric packages to customers, these costs and sale prices drop dramatically with increased volumes as shown in Table 1. These prices are subject to change at any time and are only available when buying directly through Midé. Distributors offer these products at low quantities. Midé typically keeps about 100 units of each product in stock at all times. Orders of over 100 units will have a lead time of 4 to 6 weeks. If an order of 1,000 or more units is desired, please contact Midé for a more accurate lead time estimation. For even larger volume orders, please contact mide for quotation. Table 1: Volume Pricing of PPA Standard Product Line Quanity PPA-1001 PPA-1011 PPA-2011 PPA-4011 PPA-1012 PPA-1013 PPA-1014 PPA-2014 PPA-1021 PPA-1022 1 $36.00 $200.00 $238.00 $300.00 $210.00 $334.00 $194.00 $228.00 $184.00 $176.00 2 $27.00 $150.00 $179.00 $225.00 $158.00 $251.00 $146.00 171.00 $138.00 $132.00 5 $22.00 $120.00 $143.00 $180.00 $126.00 $201.00 $117.00 $137.00 $111.00 $106.00 10 $18.00 $100.00 $119.00 $150.00 $105.00 $167.00 $97.00 $114.00 $92.00 $88.00 100 $12.36 $45.04 $69.75 $107.63 $47.13 $104.59 $43.54 $67.19 $31.09 $28.43 1,000 $8.15 $21.16 $31.93 $51.27 $27.28 $55.86 $20.43 $30.69 $18.15 $16.85 10,000 $5.85 $13.55 $20.03 $30.15 $18.25 $34.18 $13.16 $19.36 $10.86 $10.16 Note: PPA-1001 product is sold in packs of 5 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 6 of 70 1.3 PERFORMANCE SUMMARY 1.3.1 VIBRATION ENERGY HARVESTING The power output of all of the recommended energy harvesting products are compared when tuned to a 60 Hz resonance. Figure 2 shows the comparison between these products for four different acceleration amplitudes: 0.25g, 0.50g, 1.0g, and 2.0g. Figure 3 compares the power output for each product when there is no tip mass added; this represents the upper limit of the products frequency range if the clamping configuration is not changed. Figure 4 compares the power output for each product when there is the maximum tip mass added; this represents the lower limit of the products frequency range if the clamping configuration is not changed. These tests were all with beams clamped in the middle clamp location. PPA-4011 0.45 0.4 PPA-2011 Power Output (mW) 0.35 0.3 PPA-1011 0.25 PPA-1012 PPA-1001 0.2 PPA-2014 0.15 PPA-1014 PPA-1021 0.1 0.05 PPA-1022 100 150 200 250 300 350 400 450 500 Frequency (Hz) Figure 3: The power output at each product’s resonant frequency is compared. These were excited with a 0.5g amplitude sinewave at the respective resonant frequency. No tip mass was added, these frequencies represent the upper end of each products frequency range without adjusting the clamp configuration. Power Output Comparison @ 0.5g | Full Tip Mass 12 PPA-2011 10 8 Power Output (mW) Midé’s PPA standard products utilize the piezoelectric effect to convert mechanical energy in the form of vibration or shock into electrical energy. These provide optimal power output when they are properly clamped per the instructions in Section 4 and have a resonant frequency that matches the dominate frequency of the system it is harvesting energy from. All of the PPA products can be tuned to a wide range of frequencies. Adding tip mass greatly reduces the resonant frequency and further adjustment can be made by changing the clamp location. To increase the resonant frequency the piezo beams can be clamped on both ends and/or bonded to a stiffer beam. Power Output Comparison @ 0.5g | No Tip Mass 0.5 PPA-4011 6 PPA-2014 PPA-1011 PPA-1014 PPA-1001 4 Power Output Comparison at 60 Hz 100 0.25g 0.50g 1.00g 2.00g 2 0 20 25 PPA-1022 30 35 40 45 50 55 60 Frequency (Hz) 10 Power Output (mW) Figure 4: The power output at each product’s resonant frequency is compared when the maximum recommended tip mass is added. These were excited with a 0.5g amplitude sinewave at the respective resonant frequency. These frequencies represent the lower end of each products frequency range without adjusting the clamp configuration. Please refer to the product’s specific section for the tip mass used. 1 0.1 PPA-1021 PPA-1012 PPA-1001 PPA-1011 PPA-1012 PPA-1014 PPA-1021 PPA-1022 PPA-2011 PPA-2014 PPA-4011 Part Number Figure 2: The power output of each product when tuned to 60 Hz is shown for four different acceleration amplitudes: 0.25g, 0.50g, 1.0g, and 2.0g. Please refer to the product’s specific section to determine how much tip mass was added to achieve a 60 Hz resonance. Please refer to Section 2 for product specific information at a range of frequencies, and acceleration amplitudes. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 7 of 70 1.3 PERFORMANCE SUMMARY Free Displacement vs Block Force Comparison | Middle Clamp Location Displacement Amplitude (inches) 0.0 1.4 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 5.0 1.2 4.3 25 Resonant Frequency vs Tip Displacement | Middle Clamp Location | Added Tip Mass PPA-1011 20 0.79 PPA-2011 15 0.59 PPA-1021 10 0.39 PPA-1012 PPA-1022 3.6 0.8 2.9 2.2 PPA-2014 0.4 PPA-1001 PPA-1014 PPA-1022 0 0 0.1 0.7 PPA-1012 PPA-1011 PPA-2011 PPA-1021 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 20 PPA-1014 30 40 50 60 70 0.20 PPA-2014 80 90 0.00 100 Frequency (Hz) Figure 7: Adding tip mass reduces the resonant frequency and can also increase tip displacement. The PPA-1021 and PPA-1022 had a 3.1 gram tip mass; the rest, excluding PPA-1012 which had a 15.5 gram tip mass, had tip masses of 9.3 grams. 1.4 0.2 PPA-4011 5 Force Amplitude (ounces) Force Amplitude (Newtons) PPA-4011 1 0.6 0.98 PPA-1001 Peak to Peak Displacement (inches) The PPA products can also be driven as an actuator by applying an electric voltage to them. These are often used in valves where fast and controlled actuation is needed. To compare the relative performance of these range of products a plot of block force and maximum tip displacement is provided Figure 5. Adjusting the clamp location changes this displacement/force relationship; this data is listed for each product in Section 2. Figure 6: The peak to peak displacement when driven at resonance is shown for all products. They were driven with a 100 volt amplitude sine wave for each product except the PPA4011 which was only driven with 50 volts. Peak to Peak Deflection (mm) 1.3.2 ACTUATION 0.0 Displacement Amplitude (mm) Figure 5: The block force is plotted compared to the maximum, unloaded tip displacement for static, or near static, actuation. When driven at resonance the peak displacement will be much greater than when driven at static or quasi static speeds. Figure 6 provides a comparison between these products when driven at resonance and a 100 volt amplitude sine wave. The PPA-4011 was only driven with a 50 volt amplitude to prevent damaging the product. Figure 7 provides this frequency and tip displacement comparison when tip mases were added. These tests were all with the products clamped at the middle clamp location. Resonant Frequency vs Tip Displacement | Middle Clamp Location | No Tip Mass Peak to Peak Deflection (mm) 20 0.98 PPA-1001 0.79 PPA-1011 15 0.59 PPA-2011 10 5 0.39 PPA-1021 PPA-1022 PPA-1012 PPA-4011 PPA-1014 0 50 100 150 200 250 300 350 400 0.2 PPA-2014 0.0 450 Peak to Peak Displacement (inches) 25 Strain actuation test data is coming soon. Please Contact Us to be placed on a mailing list to receive notification when this information is available. 1.3.3. SENSING Piezos provide an electrical output when strained and therefore they are often used as sensors. What’s unique about Midé’s PPA products is that their size results in a very large output for a given mechanical input. This results in the ability to use piezos as unpowered sensors. This is very useful for applications that require a very long lifetime and/or where batteries may not be an option. Figure 8 provides a plot comparing the sensitivity of each product to the upper limit of the usable frequency range. This frequency range is defined as when the deviation is within ± 3 dB of the sensitivity. Adding tip mass will increase the sensitivity but it will also greatly reduce the bandwidth of the sensor. These tests were with the piezo clamped in the middle clamp location. The -6mm clamp location wouldn’t be very useful in this application because it will reduce the bandwidth and the sensitivity because it is not clamped on the piezo. Clamping at the +6mm location will increase the bandwidth but decrease the sensitivity; this may be useful for some applications. Frequency (Hz) REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 8 of 70 1.3 PERFORMANCE SUMMARY Sensitivity vs Upper Frequency Limit Comparison 180 PPA-2011 160 PPA-1001 PPA-1021 Sensitivity (mV/g) 140 120 PPA-1012 100 PPA-1011 PPA-2014 80 PPA-1022 PPA-4011 PPA-1014 60 40 0 50 100 150 200 250 300 Upper Frequency Limit (Hz) Figure 8: The sensitivity of each product is plotted against the upper limit of the usable frequency range. This frequency range is defined as when the deviation is within ± 3 dB of the sensitivity. Strain sensing test data is coming soon. Please Contact Us to be placed on a mailing list to receive notification when this information is available. 1.3.4. VIBRATION DAMPENING Midé’s vibration energy harvesters convert mechanical energy into electrical energy. Because of this piezoelectric effect, Midé’s piezo products are taking mechanical energy out of the system and providing electrical power to a sensing system. Thus Midé’s energy harvesters can not only harvest otherwise unused energy, it can also prolong the life of the mechanical system the energy is harvested from by dampening vibrations. If vibration dampening is all that is desired from the piezo, a shunt circuit can be utilized to dissipate the harvested mechanical energy into heat and/ or a magnetic field. Thus, through the use of the piezoelectric, the mechanical energy in the system is passively dampened. Vibration dampening test data is coming soon. Please Contact Us to be placed on a mailing list to receive notification when this information is available. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 9 of 70 2.0 PRODUCT DATA 2.1 PRODUCT: PPA-1001 DESCRIPTION The PPA-1001 is a single layer product recommended for energy harvesting and sensing applications. It also exhibits good performance as a resonant actuator. It is not recommended for applications requiring high force output. This product does not have mounting and alignment holes like the other products; but it is the most cost effective option Midé has. Performance data for the PPA-1001 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS DIMENSIONS Overview Capacitance (nF) 100 Mass (g) 2.8 Full Scale Voltage Range (V) ±120 55.3 PZT 46.0 8.4 Layer Material¹ Thickness (mils) Thickness (mm) Polyester 2.0 0.05 Copper 1.4 0.03 PZT 5H 6.0 0.15 Stainless Steel 304 6.0 0.15 Polyimide 1.0 0.03 Total 18.0 0.46 PZT 20.8 23.3 1Information on material properties is provided in Section 5. 39.0 40.8 Clamp 6.0 Clamp 0 10.0 14.5 8.4 Figure 9: The overall dimensions (mm) for the PPA-1001 are shown. The total thickness is 0.46 mm (18 mils). ²The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Clamp 6 Effective Stiffness N/A (N/m) 452.15 275.52 Effective Mass (g) N/A Max Peak to Peak 0.918 0.714 Deflection (mm) 24.0 20.0 N/A See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 10 of 70 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 132.0 131.0 131.0 129.0 0.0 0.0 0.0 0.0 0.1 0.2 0.7 2.2 1.1 1.9 3.4 5.4 0.1 0.1 0.2 0.4 17.9 18.3 15.7 13.0 2.1 3.6 6.0 9.9 1.1 1.4 1.6 2.2 0.04 0.05 0.06 0.09 0.25 0.50 1.00 60.0 60.0 60.0 1.9 1.8 1.7 0.1 0.5 1.8 2.9 3.3 7.1 0.0 0.2 0.3 61.0 20.8 28.6 3.8 6.7 12.2 1.2 2.1 3.9 0.05 0.08 0.15 0.25 0.50 22.0 22.0 22.8 22.8 1.4 4.4 9.0 17.3 0.1 0.3 60.4 67.6 16.4 26.6 5.2 9.3 0.21 0.37 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) N/A 0.20 0.23 Displacement Amplitude (mm) N/A 0.80 0.74 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) N/A 83.3 98.9 Half Power Bandwidth (Hz) N/A 5.6 7.8 Q Factor N/A 14.9 12.7 Peak to Peak Deflection at Resonance (mm) N/A 19.5 15.9 Quasi Static Peak to Peak Deflection (mm) N/A 1.4 1.1 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) N/A 20.5 26.4 Half Power Bandwidth (Hz) N/A 1.4 1.8 Q Factor N/A 14.6 14.7 Peak to Peak Deflection at Resonance (mm) N/A 23.5 19.8 Quasi Static Peak to Peak Deflection (mm) N/A 1.8 1.8 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 11 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 145 Upper Frequency Limit (Hz) 49.0 Resonance (Hz) 135.0 Sensitivity at Resonance (V/g) 6.6 PLOTS PPA-1001 PPA-1001 | Resonant Frequency Range Displacement Amplitude (inches) 100 0.0 0.4 Clamp 0 Clamp 6 0.1 40 60 80 100 0.016 0.020 0.024 0.028 0.031 0.035 0.039 1.44 0.35 1.26 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 0 20 0.012 120 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 1 0 0.008 Clamp 0 Clamp 6 10 0.01 0.004 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 10: Refer to Section 4.3 for more information on tuning your piezo. Figure 11: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data.. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 12 of 70 2.0 PRODUCT DATA PLOTS PPA-1001 | No Tip Mass 100 PPA-1001 | 09.3g Tip Mass 3.937 100 1 0.039 100 0.004 1000 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 0.394 Peak to Peak Deflection (mm) 10 0.1 10 3.937 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp 0 Clamp 6 0.004 1000 Frequency (Hz) Figure 12: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1001 10.0 Piezo Output (V) 1.00 3 0 -3 0.10 0.01 10 Amplitude Deviation (dB) 33 100 1000 Frequency (Hz) Figure 13: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 13 of 70 2.0 PRODUCT DATA 2.2 PRODUCT: PPA-1011 OVERVIEW The PPA-1011 is recommended for energy harvesting and sensing applications. It also exhibits good performance as a resonant actuator. Performance data for the PPA-1011 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS Overview 5x Layer Material¹ Thickness (mils) Thickness (mm) FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 6.0 0.15 Copper 1.4 0.03 FR4 14.0 0.36 Total² 28.0 0.71 2.1 71.0 PZT 46.0 12.7 10.5 8.0 5.3 PZT 20.8 0 ¹Information on material properties is provided in Section 5. 25.4 48.0 44.5 3.2 23.0 21.0 20.0 8x 40.7 ±120 Clamp 6.0 Full Scale Voltage Range (V) DIMENSIONS Clamp 0 3.0 10.0 Mass (g) Clamp -6.0 100 15.5 Capacitance (nF) Figure 14: The overall dimensions (mm) for the PPA-1011 are shown. The total thickness is 0.71 mm (28 mils). ²The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Clamp 6 Effective Stiffness 267.45 (N/m) 446.28 591.81 Effective Mass (g) 0.645 Max Peak to Peak 0.614 0.506 Deflection (mm) 20.5 17.0 21.0 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 14 of 70 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 147.0 146.0 146.0 145.0 0.0 0.0 0.0 0.0 0.1 0.3 0.7 2.1 1.1 1.8 2.7 4.6 0.1 0.1 0.3 0.5 12.1 12.6 10.2 10.1 1.7 2.8 4.3 7.3 0.9 1.4 2.2 3.7 0.04 0.06 0.09 0.15 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 2.7 2.6 2.6 2.6 0.4 1.1 3.2 9.6 3.3 4.2 7.9 12.8 0.1 0.3 0.4 0.7 25.0 15.8 19.5 17.3 5.7 0.6 13.8 20.7 2.7 3.5 7.0 10.1 0.11 0.14 0.28 0.40 0.25 0.50 1.00 20.8 21.0 21.0 25.3 25.3 25.3 2.5 5.4 16.0 13.8 14.9 23.2 0.2 0.4 0.7 76.6 41.2 33.7 20.2 26.9 39.7 9.7 12.9 34.1 0.38 0.51 1.34 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.09 0.11 0.11 Displacement Amplitude (mm) 0.40 0.36 0.34 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 102.5 133.7 172.2 Half Power Bandwidth (Hz) 5.0 7.6 10.4 Q Factor 20.5 17.6 16.6 Peak to Peak Deflection at Resonance (mm) 15.4 14.8 12.5 Quasi Static Peak to Peak Deflection (mm) 0.8 0.9 0.8 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 26.1 32.1 39.1 Half Power Bandwidth (Hz) 0.8 1.2 1.8 Q Factor 32.6 26.8 21.7 Peak to Peak Deflection at Resonance (mm) 20.4 20.6 16.7 Quasi Static Peak to Peak Deflection (mm) 0.8 1.0 0.8 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 15 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 93.11 Upper Frequency Limit (Hz) 80.0 Resonance (Hz) 135.0 Sensitivity at Resonance (V/g) 4.3 PLOTS PPA-1011 PPA-1011 | Resonant Frequency Range Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.35 Force Amplitude (Newtons) Tip Mass (g) 10 1 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 1.26 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 Force Amplitude (ounces) 100 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.00 Displacement Amplitude (mm) 0.01 0 20 40 60 80 100 120 140 160 180 Frequency (Hz) Figure 15: Refer to Section 4.3 for more information on tuning your piezo. Figure 16: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 16 of 70 2.0 PRODUCT DATA PLOTS PPA-1011 | 09.3g Tip Mass PPA-1011 | No Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 17: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1011 10.0 Piezo Output (V) 1.00 3 0.10 Amplitude Deviation (dB) 33 0 -3 0.01 10 100 1000 Frequency (Hz) Figure 18: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 17 of 70 2.0 PRODUCT DATA 2.3 PRODUCT: PPA-1012 DESCRIPTION The PPA-1012 is single layer piezo product that offers decent performance as a bender. It’s much wider than the other products which enable more tip mass to be added easily with is useful in some applications. This product is also recommended for bonded applications. Performance data for the PPA-1012 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS Overview 71.0 PZT 46.0 20.8 Layer Material Thickness (mils) Thickness (mm) FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 10.0 0.25 Copper 1.4 0.03 FR4 14.0 0.36 Total 30.0 0.76 16.0 10.5 5.3 PZT 38.4 2.1 41.5 48.0 9x 40.7 3.2 23.0 21.0 20.0 10x 44.5 0 Clamp 0 ±200 Clamp 6.0 6.0 Full Scale Voltage Range (V) 10.0 Mass (g) DIMENSIONS Clamp -6.0 120 15.5 Capacitance (nF) 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for Figure 29: The overall dimensions (mm) for the PPA-1012 are shown. The total thickness is 0.76 mm (30 mils). finite element analysis however. Stiffness Parameter Part Number: Clamp -6 Description: Clamp 0 Clamp 6 Effective Stiffness 497.59 (N/m) 769.74 1207.05 Effective Mass (g) 1.289 1.077 1.036 Max Tip Deflection 2.0 (mm) 8.0 8.0 PPA-1012 Rev: 2 Engineering & Approvals Date Eng: S. Hanly 12/29/2015 Drw: App: Single Layer Piezo Package, 10 mil Thick Piezo Units: MM Tolerances Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Material: FR4, Copper, PZT Composite Midé Proprietary: Any information contained in this drawing is the sole property of Midé Technology Corporation. Any reproduction in part or in whole without the written permission of Midé Technology Corporation is prohibited. Scale: 5:3 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 18 of 70 Sheet: 1 of 1 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 135.0 134.0 133.0 132.0 0.0 0.0 0.0 0.0 0.1 0.2 0.6 1.5 0.7 1.3 2.1 3.7 0.1 0.2 0.3 0.4 7.2 7.6 7.2 9.1 1.3 2.1 3.4 5.3 0.7 1.2 1.9 3.2 0.03 0.05 0.08 0.12 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 5.4 5.4 4.9 4.4 0.2 0.6 1.4 3.5 2.0 3.5 6.3 7.7 0.1 0.2 0.2 0.5 16.8 21.5 27.4 16.8 3.3 5.1 7.9 11.6 1.6 2.6 4.1 6.7 0.06 0.10 0.16 0.25 0.25 0.50 1.00 22.0 22.0 23.0 38.0 38.0 38.0 0.4 1.9 7.1 4.1 8.7 16.2 0.1 0.2 0.4 40.3 40.5 36.7 6.5 12.7 22.7 3.6 7.8 12.6 0.13 0.29 0.46 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.11 0.14 0.17 Displacement Amplitude (mm) 0.30 0.44 0.29 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 98.9 124.0 171.8 Half Power Bandwidth (Hz) 6.4 10.2 13.4 Q Factor 15.5 12.2 12.8 Peak to Peak Deflection at Resonance (mm) 4.5 3.8 4.0 Quasi Static Peak to Peak Deflection (mm) 0.4 0.3 0.3 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 27.4 34.8 43.0 Half Power Bandwidth (Hz) 5.8 1.4 1.8 Q Factor 4.7 24.9 23.9 Peak to Peak Deflection at Resonance (mm) 1.5 7.5 7.6 Quasi Static Peak to Peak Deflection (mm) 0.3 0.4 0.5 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 19 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 106 Upper Frequency Limit (Hz) 80.0 Resonance (Hz) 133.0 Sensitivity at Resonance (V/g) 3.6 PLOTS PPA-1012 | Resonant Frequency Range PPA-1012 100 Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 0.35 1.26 1 0.1 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 0 0.01 0 20 40 60 80 100 120 140 160 180 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 30: Refer to Section 4.3 for more information on tuning your piezo. Figure 31: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 20 of 70 2.0 PRODUCT DATA PPA-1012 | No Tip Mass PPA-1012 | 15.5 Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 32: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1012 10.0 Piezo Output (V) 1.00 3 Amplitude Deviation (dB) 31 0 0.10 -3 0.01 10 100 1000 Frequency (Hz) Figure 33: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 21 of 70 2.0 PRODUCT DATA 2.4 PRODUCT: PPA-1013 DIMENSIONS The PPA-1013 is single layer piezo product with a very thick piezo making it optimal in bonded configurations. Its thickness makes it ineffective as a bender. 71.0 PZT 46.0 20.8 16.0 10.5 5.3 PZT 33.4 Layer Material Thickness (mils) Thickness (mm) FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 58.5 1.49 Copper 1.4 0.03 FR4 14.0 0.36 Total 78.0 1.98 41.5 48.0 40.7 ±500 44.5 Full Scale Voltage Range (V) Clamp 0 21.5 2.1 Clamp 6.0 24 Mass (g) 3.2 9x 10.0 Capacitance (nF) 10x 23.0 21.0 20.0 Overview Clamp -6.0 SPECIFICATIONS 15.5 0 Figure 34: The overall dimensions (mm) for the PPA-1013 are shown. The total thickness is 1.98mm MM (78 mils). Part Number: Description: PPA-1013 Rev: 2 Engineering & Approvals Date Eng: S. Hanly 12/29/2015 Drw: App: Single Layer Piezo Package, 58 mil Thick Piezo Units: Tolerances Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Material: FR4, Copper, PZT Composite Midé Proprietary: Any information contained in this drawing is the sole property of Midé Technology Corporation. Any reproduction in part or in whole without the written permission of Midé Technology Corporation is prohibited. Scale: 5:3 Sheet: 1 of 1 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 22 of 70 2.0 PRODUCT DATA 2.5 PRODUCT: PPA-1014 DESCRIPTION The PPA-1014 is a single layer product recommended for energy harvesting and sensing applications. It also exhibits good performance as a resonant actuator. It is not recommended for applications requiring high force output. This product has a relatively high natural frequency compared to the other products which is beneficial for some applications. Due to its smaller size and good performance this is a popular product for many applications. Performance data for the PPA-1014 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS DIMENSIONS Overview Capacitance (nF) 40 Mass (g) 2.0 Full Scale Voltage Range (V) ±150 53.0 PZT 27.8 10.5 8.0 5.3 2.1 Copper 1.4 0.03 PZT 5H 7.5 0.19 Copper 1.4 0.03 FR4 14.0 0.36 Total 28.0 0.71 30.0 5x 26.5 0.08 22.5 3.0 Clamp 6.0 FR4 PZT 20.8 18.0 0 Clamp 0 3.2 10.0 8x Clamp -6.0 Thickness (mm) 15.5 Thickness (mils) 23.0 21.0 20.0 Layer Material Figure 35: The overall dimensions (mm) for the PPA-1014 are shown. The total thickness is 0.71 mm (28 mils). 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Part Number: Stiffness Parameter Clamp -6 Clamp 0 Description: PPA-1014 Date Eng: S. Hanly 12/29/2015 Drw: App: Single Layer Piezo Package, 7.5 mil Thick Piezo Clamp 6 Effective Stiffness 898.54 (N/m) 2187.85 4167.91 Effective Mass (g) 0.336 0.339 0.240 Max Peak to Peak Deflection (mm) 5.0 5.0 6.0 Rev: 2 Engineering & Approvals Units: Tolerances MM Material: Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Scale: See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us FR4, Copper, PZT Comp Midé Proprietary: Any information contained in this draw property of Midé Technology Corporation. Any reproduc without the written permission of Midé Technology Corp 23 of 70 5:3 She 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 413.0 410.0 404.0 400.0 0.0 0.0 0.0 0.0 0.0 0.1 0.4 1.1 0.6 1.3 2.0 3.2 0.1 0.1 0.2 0.4 9.0 13.6 11.1 8.9 1.2 2.2 3.3 5.7 0.3 0.5 0.7 0.8 0.01 0.02 0.03 0.03 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 15.1 15.1 14.9 14.9 1.2 3.7 9.8 25.9 10.8 13.9 19.5 27.3 0.1 0.3 0.5 0.9 95.7 52.1 38.8 28.8 14.4 25.8 30.5 36.1 2.4 3.3 4.0 5.0 0.09 0.13 0.15 0.19 0.25 0.50 47.0 46.0 25.3 25.3 2.0 4.8 14.1 17.2 0.1 0.3 100.0 61.9 17.0 24.8 3.1 4.6 0.12 0.18 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.09 0.09 0.23 Displacement Amplitude (mm) 0.15 0.19 0.09 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 260.2 384.2 663.9 Half Power Bandwidth (Hz) 9.6 72.4 54.4 Q Factor 27.1 5.3 12.2 Peak to Peak Deflection at Resonance (mm) 5.4 1.8 1.6 Quasi Static Peak to Peak Deflection (mm) 0.2 0.3 0.2 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 48.6 68.2 105.2 Half Power Bandwidth (Hz) 8.6 14.4 7.2 Q Factor 5.7 4.7 14.6 Peak to Peak Deflection at Resonance (mm) 6.1 4.1 9.0 Quasi Static Peak to Peak Deflection (mm) 0.9 0.8 0.5 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 24 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 56 Upper Frequency Limit (Hz) 252.0 Resonance (Hz) 417.0 Sensitivity at Resonance (V/g) 4.0 PLOTS PPA-1014 | Resonant Frequency Range PPA-1014 100 Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 0.35 1.26 1 0.1 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 0 0.01 0 100 200 300 400 500 600 700 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 36: Refer to Section 4.3 for more information on tuning your piezo. Figure 37: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 25 of 70 2.0 PRODUCT DATA PPA-1014 | No Tip Mass PPA-1014 | 09.3g Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 38: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1014 10.0 37 Piezo Output (V) Amplitude Deviation (dB) 1.00 0.10 3 0 -3 0.01 10 100 1000 Frequency (Hz) Figure 39: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 26 of 70 2.0 PRODUCT DATA 2.6 PRODUCT: PPA-1021 DESCRIPTION The PPA-1021 is a single layer product recommended for energy harvesting and sensing applications. It also exhibits good performance as a resonant actuator. It is not recommended for applications requiring high force output. This is a good cost effective alternative over some of the other products. Performance data for the PPA-1021 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS DIMENSIONS Overview 4x FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 10.0 0.25 Copper 1.4 0.03 FR4 14.0 0.36 Total 29.0 0.74 3.2 5.2 0 PZT 6.4 10.3 48.0 Thickness (mm) 44.5 Thickness (mils) 23.0 21.0 Layer Material 40.7 ±200 PZT 46.0 2.1 Clamp 6.0 Full Scale Voltage Range (V) 71.0 Clamp 0 1.4 10.0 Mass (g) Clamp -6.0 22 15.5 Capacitance (nF) Figure 45: The overall dimensions (mm) for the PPA-1021 are shown. The total thickness is 0.74 mm (29 mils). 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Clamp 6 Effective Stiffness 211.60 (N/m) 261.21 442.60 Effective Mass (g) 0.301 0.156 0.233 Max Peak to Peak Deflection (mm) 11.0 9.0 12.0 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 27 of 70 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 175.0 174.0 173.0 171.0 0.0 0.0 0.0 0.0 0.0 0.1 0.3 0.9 1.2 2.3 3.6 5.6 0.0 0.0 0.1 0.2 47.3 51.9 44.5 35.1 2.1 3.5 5.9 9.8 0.6 0.9 1.5 2.5 0.02 0.04 0.06 0.10 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 1.8 1.7 1.7 1.7 0.2 0.7 1.6 4.4 4.1 8.6 14.0 23.2 0.0 0.1 0.1 0.2 82.5 113.9 125.1 122.9 7.2 14.3 20.5 32.2 1.5 2.9 5.4 8.9 0.06 0.11 0.21 0.34 0.25 0.50 1.00 23.0 23.0 22.0 12.7 12.7 12.7 1.3 2.3 4.5 17.8 23.3 28.2 0.1 0.1 0.2 250.6 232.5 174.9 27.3 35.5 46.8 6.5 8.8 16.1 0.25 0.33 0.59 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.06 0.06 0.09 Displacement Amplitude (mm) 0.24 0.23 0.20 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 133.5 174.3 219.5 Half Power Bandwidth (Hz) 4.0 6.8 19.6 Q Factor 33.4 25.6 11.2 Peak to Peak Deflection at Resonance (mm) 9.8 8.5 4.5 Quasi Static Peak to Peak Deflection (mm) 0.5 0.4 0.3 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 39.7 48.8 58.0 Half Power Bandwidth (Hz) 1.8 1.6 3.0 Q Factor 22.1 30.5 19.3 Peak to Peak Deflection at Resonance (mm) 11.5 11.0 8.3 Quasi Static Peak to Peak Deflection (mm) 0.5 0.4 0.5 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 28 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 146 Upper Frequency Limit (Hz) 98.0 Resonance (Hz) 182.0 Sensitivity at Resonance (V/g) 7.4 PLOTS PPA-1021 | Resonant Frequency Range PPA-1021 100 Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 0.35 1.26 1 0.1 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 0 0.01 0 50 100 150 200 250 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 46: Refer to Section 4.3 for more information on tuning your piezo. Figure 47: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 29 of 70 2.0 PRODUCT DATA PPA-1021 | No Tip Mass PPA-1021 | 03.1g Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 48: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1021 10.0 Piezo Output (V) 1.00 3 0 -3 0.10 0.01 10 Amplitude Deviation (dB) 34 100 1000 Frequency (Hz) Figure 49: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 30 of 70 2.0 PRODUCT DATA 2.7 PRODUCT: PPA-1022 DESCRIPTION The PPA-1022 is a single layer product recommended for all applications where the most important requirement is size. Due to its smaller size it has inferior performance compared to the other products but its small size also results in lower costs. Performance data for the PPA-1022 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS Overview 53.0 2.1 4x Layer Material Thickness (mils) Thickness (mm) FR4 3.0 0.08 5.2 Copper 1.4 0.03 0 PZT 5H 7.0 0.18 Copper 1.4 0.03 FR4 14.0 0.36 Total 27.4 0.70 3.2 PZT 21.6 16.3 23.0 21.0 PZT 3.7 10.3 Clamp 6.0 ±200 Clamp 0 Full Scale Voltage Range (V) DIMENSIONS 10.0 1.4 Clamp -6.0 7 Mass (g) 15.5 Capacitance (nF) Figure 50: The overall dimensions (mm) for the PPA-1022 are shown. The total thickness is 0.74 mm (29 mils). 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Effective Stiffness 517.88 (N/m) 853.91 Effective Mass (g) 0.205 0.088 Max Peak to Peak Deflection (mm) 7.0 8.0 Clamp 6 1722.18 Part Number: Description: PPA-1022 Rev: 2 Engineering & Approvals Date Eng: S. Hanly 12/29/2015 Drw: App: 0.103 Single Layer Piezo Package, 7 mil Thick Piezo Units: Tolerances MM Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Material: Scale: 5.0 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us FR4, Copper, P Midé Proprietary: Any information conta property of Midé Technology Corporatio without the written permission of Midé T 31 of 70 5:3 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 441.0 440.0 438.0 437.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2 0.5 1.1 2.0 2.6 5.1 0.0 0.0 0.1 0.1 89.9 87.1 43.1 54.3 2.0 3.4 5.6 9.3 0.1 0.2 0.4 0.6 0.005 0.009 0.015 0.023 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 4.8 4.8 4.8 4.8 0.3 0.7 2.9 5.5 9.0 13.9 26.2 33.0 0.0 0.0 0.1 0.2 297.7 288.2 234.0 198.0 14.5 25.3 40.4 52.3 1.6 2.9 5.0 6.7 0.062 0.112 0.192 0.254 0.25 0.50 41.5 41.0 12.6 12.6 1.1 2.0 18.1 23.7 0.1 0.1 309.2 281.7 31.7 36.9 2.6 3.2 0.100 0.118 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.03 0.06 0.09 Displacement Amplitude (mm) 0.16 0.13 0.07 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 252.9 408.4 650.3 Half Power Bandwidth (Hz) 10.6 10.8 15.4 Q Factor 23.9 37.8 42.2 Peak to Peak Deflection at Resonance (mm) 4.5 4.2 2.5 Quasi Static Peak to Peak Deflection (mm) 0.4 0.3 0.4 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 63.0 85.2 116.7 Half Power Bandwidth (Hz) 0.8 1.4 2.0 Q Factor 78.8 60.9 58.4 Peak to Peak Deflection at Resonance (mm) 7.6 6.1 4.1 Quasi Static Peak to Peak Deflection (mm) 0.2 0.3 0.2 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 32 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 71 Upper Frequency Limit (Hz) 263.0 Resonance (Hz) 457.0 Sensitivity at Resonance (V/g) 6.5 PLOTS PPA-1022 PPA-1022 | Resonant Frequency Range Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.35 Force Amplitude (Newtons) Tip Mass (g) 10 1 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 1.26 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 Force Amplitude (ounces) 100 0.1 0 0.01 0 100 200 300 400 500 600 700 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 51: Refer to Section 4.3 for more information on tuning your piezo. Figure 52: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 33 of 70 2.0 PRODUCT DATA PPA-1022 | No Tip Mass PPA-1022 | 03.1g Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 53: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-1022 10.0 39 Piezo Output (V) Amplitude Deviation (dB) 1.00 3 0.10 0 -3 0.01 10 100 1000 Frequency (Hz) Figure 54: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 34 of 70 2.0 PRODUCT DATA 2.8 PRODUCT: PPA-2011 DESCRIPTION The PPA-2011 is recommended for energy harvesting and sensing applications. It also exhibits good performance as a resonant actuator. With two piezo layers it generally offers improved performance over the PPA-1011 but at a slightly higher cost. Performance data for the PPA-2011 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS Overview Capacitance (nF) 190 Mass (g) 4.0 Full Scale Voltage Range (V) ±120 DIMENSIONS 5x 2.1 71.0 PZT 46.0 Layer Material¹ Thickness (mils) Thickness (mm) FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 6.0 0.15 Copper 1.4 0.03 FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 6.0 0.15 Copper 1.4 0.03 FR4 3.0 0.08 Total 30.0 0.76 12.7 10.5 8.0 5.3 PZT 20.8 0 48.0 44.5 40.7 Clamp 6.0 Clamp 0 Clamp -6.0 15.5 10.0 3.2 23.0 21.0 20.0 8x 25.4 Figure 19: The overall dimensions (mm) for the PPA-2011 are shown. The total thickness is 0.76 mm (30 mils). 1Information on material properties is provided in Section 5. 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Clamp 6 Effective Stiffness 386.08 (N/m) 573.67 861.10 Effective Mass (g) 0.811 0.607 0.495 Max Tip Deflection 16.0 (mm) 15.5 13.0 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 35 of 70 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 154.0 152.0 149.0 147.0 0.0 0.0 0.0 0.0 0.1 0.4 1.2 4.0 0.9 1.2 2.0 4.5 0.1 0.3 0.6 0.9 7.0 4.0 3.3 5.1 2.3 3.7 6.0 9.2 0.6 1.0 1.6 2.6 0.03 0.04 0.06 0.10 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 3.5 3.4 3.3 3.4 0.5 1.5 4.3 10.4 2.3 3.7 7.9 13.7 0.2 0.4 0.5 0.8 10.5 9.0 14.7 18.2 6.3 9.1 14.8 23.3 1.6 2.3 4.3 6.9 0.06 0.09 0.17 0.27 0.25 0.50 1.00 2.00 24.0 24.0 23.8 23.0 25.3 25.3 25.3 25.3 4.1 11.5 31.0 34.0 9.9 21.3 31.0 34.0 0.4 0.5 1.0 2.0 24.0 39.4 30.9 17.2 23.3 35.9 49.6 61.5 4.8 7.9 12.0 18.5 0.19 0.31 0.47 0.73 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.06 0.80 0.12 Displacement Amplitude (mm) 0.94 0.94 0.83 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 109.8 150.7 210.5 Half Power Bandwidth (Hz) 7.4 10.0 15.2 Q Factor 14.8 15.1 13.8 Peak to Peak Deflection at Resonance (mm) 12.5 12.6 9.6 Quasi Static Peak to Peak Deflection (mm) 0.8 0.8 0.6 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 31.1 38.7 47.3 Half Power Bandwidth (Hz) 2.0 2.2 2.6 Q Factor 15.6 17.6 18.2 Peak to Peak Deflection at Resonance (mm) 15.9 15.2 12.6 Quasi Static Peak to Peak Deflection (mm) 1.0 0.9 0.6 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 36 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 175.13 Upper Frequency Limit (Hz) 108.0 Resonance (Hz) 178.0 Sensitivity at Resonance (V/g) 7.0 PLOTS PPA-2011 | Resonant Frequency Range PPA-2011 100 Displacement Amplitude (inches) 0.0 0.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 1.44 Clamp -6 Clamp 0 Clamp 6 0.35 1.26 1 0.1 0.3 1.08 0.25 0.90 0.2 0.72 0.15 0.54 0.1 0.36 0.05 0.18 0 0.01 0 50 100 150 200 250 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.00 Displacement Amplitude (mm) Frequency (Hz) Figure 20: Refer to Section 4.3 for more information on tuning your piezo. Figure 21: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 37 of 70 2.0 PRODUCT DATA PPA-2011 | No Tip Mass PPA-2011 | 09.3g Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 22: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-2011 10.0 Piezo Output (V) 1.00 3 0 -3 Amplitude Deviation (dB) 32 0.10 0.01 10 100 1000 Frequency (Hz) Figure 23: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 38 of 70 2.0 PRODUCT DATA 2.9 PRODUCT: PPA-2014 DESCRIPTION The PPA-2014 is a double layer product recommended for all applications including energy harvesting, sensing applications, resonant actuation and force/deflection actuation. This product has a relatively high natural frequency compared to the other products which is beneficial for some applications. With two piezo layers it generally offers improved performance over the PPA-2014 but at a slightly higher cost. Due to its smaller size and good performance this is a popular product for many applications. Performance data for the PPA-2014 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. DIMENSIONS SPECIFICATIONS Overview 53.0 8.0 5.3 8x 3.2 FR4 3.0 0.08 5x 2.1 Copper 1.4 0.03 PZT 5H 7.5 0.19 Copper 1.4 0.03 FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 7.5 0.19 Copper 1.4 0.03 FR4 3.0 0.08 Total 32.5 0.83 PZT 20.8 18.0 0 30.0 Thickness (mm) 26.5 Thickness (mils) 23.0 21.0 20.0 Layer Material 22.5 ±150 Clamp 6.0 Full Scale Voltage Range (V) PZT 27.8 10.5 Clamp 0 2.9 10.0 Mass (g) Clamp -6.0 95 15.5 Capacitance (nF) Figure 40: The overall dimensions (mm) for the PPA-2014 are shown. The total thickness is 0.83 mm (32.5 mils). Part Number: 1Information on material properties is provided in Section 5. Description: PPA-1014 Rev: 2 Engineering & Approvals Date Eng: S. Hanly 12/29/2015 Drw: App: Single Layer Piezo Package, 7.5 mil Thick Piezo Units: Tolerances MM Material: Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Scale: 2The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. Stiffness Parameter Clamp -6 Clamp 0 Clamp 6 Effective Stiffness 1187.09 (N/m) 3882.41 6230.78 Effective Mass (g) 0.427 0.588 0.318 Max Peak to Peak Deflection (mm) 5.0 3.0 7.0 See Section 4.3 for more information on how to use this data to tune your piezo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us FR4, Copper, PZT Comp Midé Proprietary: Any information contained in this draw property of Midé Technology Corporation. Any reproduc without the written permission of Midé Technology Corp 39 of 70 5:3 She 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 493.0 491.0 488.0 483.0 0.0 0.0 0.0 0.0 0.0 0.1 0.5 1.4 0.7 1.2 1.8 2.5 0.1 0.1 0.3 0.6 10.5 9.5 6.9 4.3 1.4 2.4 3.7 5.8 0.1 0.2 0.2 0.3 0.004 0.006 0.008 0.014 0.25 0.50 1.00 2.00 63.0 62.0 62.0 64.0 25.3 25.3 25.3 25.3 1.8 5.9 15.2 36.1 9.7 15.5 23.5 27.6 0.2 0.4 0.6 1.3 51.3 41.0 36.4 21.1 17.6 28.6 36.7 41.0 0.8 1.4 1.9 2.4 0.032 0.051 0.069 0.083 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 26.0 25.6 25.9 26.5 1.9 6.2 14.9 36.6 7.4 16.8 24.2 29.7 0.3 0.4 0.6 1.2 28.5 45.2 39.4 24.1 19.1 30.8 39.7 43.1 0.9 1.3 1.8 2.3 0.034 0.048 0.066 0.081 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.28 0.54 0.57 Displacement Amplitude (mm) 0.30 0.27 0.22 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 265.4 443.9 704.5 Half Power Bandwidth (Hz) 19.2 46.2 117.4 Q Factor 13.8 9.6 6.0 Peak to Peak Deflection at Resonance (mm) 5.5 3.9 1.7 Quasi Static Peak to Peak Deflection (mm) 0.4 0.3 0.3 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 55.6 92.2 128.1 Half Power Bandwidth (Hz) 5.4 10.4 19.0 Q Factor 10.3 8.9 6.7 Peak to Peak Deflection at Resonance (mm) 6.8 4.8 2.9 Quasi Static Peak to Peak Deflection (mm) 0.6 0.5 0.4 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 40 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 88 Upper Frequency Limit (Hz) 300.0 Resonance (Hz) 506.0 Sensitivity at Resonance (V/g) 4.5 PLOTS PPA-2014 | Resonant Frequency Range PPA-2014 100 Displacement Amplitude (inches) 0.0 1.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 5.0 Clamp -6 Clamp 0 Clamp 6 1.2 4.3 1 3.6 0.8 2.9 0.6 2.2 0.4 1.4 0.2 0.7 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.1 0.01 0 0 100 200 300 400 500 600 700 Frequency (Hz) Figure 41: Refer to Section 4.3 for more information on tuning your piezo. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.0 Displacement Amplitude (mm) Figure 42: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 41 of 70 2.0 PRODUCT DATA PPA-2014 | No Tip Mass PPA-2014 | 09.3g Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 43: The peak to peak tip displacement is provided for when the piezo is driven with a ± 100 volt signal. PPA-2014 10.0 Piezo Output (V) 1.00 3 0.10 Amplitude Deviation (dB) 34 0 -3 0.01 10 100 1000 Frequency (Hz) Figure 44: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 42 of 70 2.0 PRODUCT DATA 2.10 PRODUCT: PPA-4011 DESCRIPTION The PPA-4011 is recommended for all applications due its superior performance. This product incorporates four piezo wafers which drives up the cost on the unit compared to other options; but this also results in significant performance improvements. Performance data for the PPA-4011 is summarized in the following tables and plots. Refer to Section 6 for information on how this data was gathered. Please note that this data is to be used only as reference and that there is some variability from unit to unit. Temperature, clamp conditions, drive quality, all can contribute to additional variability. All test data was gathered at room temperature and with the PPA-9001 clamp kit hardware. SPECIFICATIONS Overview DIMENSIONS Layer Material Thickness (mils) Thickness (mm) FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 6.0 0.15 Copper 1.4 0.03 FR4 3.0 0.08 Copper 1.4 0.03 PZT 5H 6.0 0.15 Copper 1.4 0.03 FR4 3.0 0.08 Copper 1.4 0.03 Stiffness FR4 6.0 0.15 Parameter Copper 1.4 0.03 PZT 5H 3.0 0.08 Copper 1.4 PZT 5H 5x 2.1 71.0 PZT 46.0 12.7 10.5 8.0 5.3 PZT 20.8 0 25.4 48.0 40.7 44.5 3.2 23.0 21.0 20.0 8x Clamp 6.0 ±120 Clamp 0 7.6 Full Scale Voltage Range (V) Clamp -6.0 Mass (g) 15.5 415 10.0 Capacitance (nF) Figure 24: The overall dimensions (mm) for the PPA-4011 are shown. The total thickness is 1.3 mm (52 mils). Clamp -6 Clamp 0 Clamp 6 Effective Stiffness 1934.93 (N/m) 4125.55 5534.45 0.03 Effective Mass (g) 1.457 1.480 1.936 6.0 0.15 5.0 4.5 Copper 1.4 0.03 Max Tip Deflection 7.0 (mm) FR4 30 0.08 See Section 4.3 for more information on how to use this data to tune your Total 52.0 1.32 piezo. ¹Information on material properties is provided in Section 5. ²The layer thicknesses do not perfectly add up to the actual thickness of the product due to the epoxy layers. These epoxy layers can be ignored for finite element analysis however. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 43 of 70 2.0 PRODUCT DATA SPECIFICATIONS Energy Harvesting Data for Middle Clamp Location Acceleration Amplitude (g) Frequency Tip Mass RMS Power (Hz) (gram) (mW) RMS Voltage (V) RMS Current Resistance (mA) (kΩ) RMS Open Peak to Peak Circuit Displacement (mm) Peak to Peak Displacement (in) 0.25 0.50 1.00 2.00 298.0 297.0 293.0 289.0 0.0 0.0 0.0 0.0 0.1 0.5 1.4 4.5 0.5 0.8 1.2 2.4 0.3 0.5 1.1 1.9 1.9 1.5 1.1 1.2 1.1 1.9 3.2 5.4 0.2 0.3 0.5 0.8 0.01 0.01 0.02 0.03 0.25 0.50 1.00 2.00 63.0 63.0 62.0 62.0 25.3 25.3 25.3 25.3 1.9 5.6 18.0 52.0 3.9 6.9 10.6 16.2 0.5 0.8 1.7 3.2 8.1 8.5 6.2 5.0 7.3 12.0 19.3 31.1 1.3 1.9 2.7 3.7 0.05 0.07 0.10 0.14 0.25 0.50 1.00 2.00 60.0 60.0 60.0 60.0 28.4 28.4 27.1 26.6 2.1 6.4 19.5 59.0 4.0 7.7 10.2 16.7 0.5 0.8 1.9 3.5 7.5 9.4 5.4 4.7 7.9 12.9 20.2 31.4 1.2 1.8 2.4 4.1 0.05 0.07 0.10 0.16 Block Force and Static Displacement, 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Block Force Amplitude (N) 0.51 1.05 1.28 Displacement Amplitude (mm) 0.60 0.51 0.45 Dynamic displacement, no added tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 183.4 245.8 269.1 Half Power Bandwidth (Hz) 10.8 14.6 70.2 Q Factor 17.0 16.8 3.8 Peak to Peak Deflection at Resonance (mm) 4.70 2.77 0.74 Quasi Static Peak to Peak Deflection (mm) 0.42 0.66 0.35 Dynamic Displacement, 9.3 tip mass, +/- 100 volt signal Parameter Clamp -6 Clamp 0 Clamp 6 Resonant Frequency (Hz) 67.5 92.5 111.7 Half Power Bandwidth (Hz) 3.6 5.4 6.4 Q Factor 18.8 17.1 17.5 Peak to Peak Deflection at Resonance (mm) 6.61 5.07 4.40 Quasi Static Peak to Peak Deflection (mm) 0.37 0.30 0.26 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 44 of 70 2.0 PRODUCT DATA Sensitivity, middle clamp, no added tip mass Sensitivity (mV/g) 66.168 Upper Frequency Limit (Hz) 163.0 Resonance (Hz) 285.0 Sensitivity at Resonance (V/g) 3.0 PLOTS PPA-4011 | Resonant Frequency Range PPA-4011 100 Displacement Amplitude (inches) 0.0 1.4 Clamp -6 Clamp 0 Clamp 6 0.004 0.008 0.012 0.016 0.020 0.024 0.028 0.031 0.035 0.039 5.0 Clamp -6 Clamp 0 Clamp 6 1.2 4.3 1 3.6 0.8 2.9 0.6 2.2 0.4 1.4 0.2 0.7 1 Force Amplitude (ounces) Force Amplitude (Newtons) Tip Mass (g) 10 0.1 0.01 0 0 50 100 150 200 250 300 Frequency (Hz) Figure 25: Refer to Section 4.3 for more information on tuning your piezo. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.0 Displacement Amplitude (mm) Figure 26: Static displacement and block force are compared for the three different clamp locations. The piezo was driven with 100 volts to generate this data. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 45 of 70 2.0 PRODUCT DATA PPA-4011 | No Tip Mass PPA-4011 | 09.3 Tip Mass 3.937 100 3.937 10 0.394 1 0.039 0.1 10 100 0.004 1000 Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 Peak to Peak Displacement (inches) Peak to Peak Deflection (mm) Clamp -6 Clamp 0 Clamp 6 10 0.394 1 0.039 0.1 10 Frequency (Hz) 100 Peak to Peak Displacement (inches) 100 0.004 1000 Frequency (Hz) Figure 27: The peak to peak tip displacement is provided for when the piezo is driven with a ± 50 volt signal. PPA-4011 10.0 33 Piezo Output (V) Amplitude Deviation (dB) 1.00 0.10 3 0 -3 0.01 10 100 1000 Frequency (Hz) Figure 28: The frequency response of the accelerometer is provided with ±3 dB error bands to highlight the frequency range where accurate measurement can be expected. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 46 of 70 r: 3.0 ELECTRICAL CONNECTION 3.1 PIEZO POLARITY & CONNECTING MULTIPLE PIEZOS Each of the standard PPA products have only two electrical connection points for ease of use as highlighted in Figure 55. Most of these products are poled so that the positive voltage is in the direction of the side with the Midé logo (the side with the copper connection pads). PPA-1012 and PPA-1021 are poled in the opposite direction. If a positive signal is applied to the “Bottom (+)” pad (in line with the poling direction) the piezo wafer will compress in the thickness direction and thus bending upward, toward the side with electrical connection. In applications where the piezo is being used as a sensor or harvester, compressing the piezo through the thickness (bending upward, “out of the Color is anactive entitites page”) will result in a positive voltage to the “Bottom (+)” pad. The opposite is true if applying a negative voltage. If you prefer to use the product as a stack where the two (or four) wafers work in unison with one another, Midé requires a minimum order size of 25 units and a lead time of 4 weeks. There will be no additional fee though. Piezos can be connected to one another in either series or parallel. Series connection will double the open-circuit voltage compared to a single wafer, and the effective capacitance will be 1/2 the singlewafer capacitance (assuming each wafer is the same capacitance). Parallel connection will double the current compared to a single wafer, and the effective capacitance will be double the single-wafer value. For most applications, parallel connection is recommended. Regardless of series or parallel connection, the power generated by the Volture™ Energy Harvester will be the same. 3.2 SOLDER Connection to Bottom (+) of Piezo The recommended electrical connection method is to solder directly to the two copper pads on the pack for most of these products. Please note that the PPA-1001 has steel pads which are not designed for soldering. Please practice safe soldering techniques and be sure to apply some electrical tape or insulating epoxy over the connections to prevent them from shorting to one another or person. Connection to Top (-) of Piezo Connection to Top (-) of Piezo WARNING: Risk of eye injury; always wear safety goggles when working with hot solder. Connection to Bottom (+) of Piezo Figure 55: The two copper pads for electrical termination are highlighted. The two steel pads for electrical termination are highlighted on the PPA-1001 product. For bimorphEngineering products the bottom Date wafer is Units: poled in the opposite & Approvals MM Material: Eng: S. Hanly direction as Drw: the wafer on top, away from theTolerances center of the pack. The Unless otherwise specified dimensions PPA-2014 Rev: 1 in inches wafers and tolerances connected are: App: electrical connections are then made with theareLinear two Angular .X 0.1 .X 0.1 PPA Standard Productin - Bimorph 0.05 parallel; but in such a way where the two.XX wafers always act in Scale: .XXX 0.010 the opposite direction of one another (one compresses, while the other extends). This is the desired configuration for when using these products as benders. The quadmorph wires the four piezos similarly to the bimorphs but as two sets of pairs.The first two wafers act in unison but in the opposite direction as the bottom two wafers which act in unison with one another. WARNING: Risk of lung irritation; avoid direct inhalation of solder fumes. Always solder in well ventilated areas. FR4, Copper, PZT Composite Midé Proprietary: Any information contained in this drawing is the sole property of Midé Technology Corporation. Any reproduction in part or in whole without the written permission of Midé Technology Corporation is prohibited. Admittedly, the polarity direction can be confusing. Midé recommends to do a few bench tops tests upon receipt of these products to gain a better understanding of this directionality. 1:1 Sheet: 1 of 1 WARNING: Risk of severe burns; soldering iron tips become very hot when used. NEVER touch the iron tip. When connection to the piezo is being made by soldering there are countless forms of cabling to use. Midé typically uses bare cable but here are two options that have worked well: Header Pin Receptacle to Solder Pins, and BNC Connector to Bare Wire. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 47 of 70 art Number: escription: 3.0 ELECTRICAL CONNECTION 3.3 PPA-7001 RING TERMINAL CABLE 3.4 CONDUCTIVE HARDWARE DIRECTLY TO PCB The PPA products, with the exception of PPA-1001, were designed for using a M3 Ring Terminal connection as shown in Figure 56. Refer to the product drawing and/or 3D model for exact location of these holes; they are spaced 10.5 mm apart. Conductive hardware can be used in place of ring terminals when the piezo beam is directly placed on a PCB. Two brass M3 bolts can be used to connect the piezo pack to a PC board if large pre-tinned pads (shown as shaded rings in Figure 58) are on the underside of the board. In this configuration the piezo pack would lay on top of the PCB with the brass bolts bringing connection down through the PCB to the underside of the board where a conductive nut would be used to secure the bolt. This nut would electrically connect to the large pads on the underside of the board. Proper mounting torque of 1 N-m (8.85 in-lb) should be used. When mounting directly to the PCB use the PPA-5004 clamp or similar for accurate clamping and operation. Clamp 6.0 PPA-X011 Outline Clamp 0 Clamp -6.0 10.0 Figure 56: Electrical connection to the PPA products can be made with simple M3 Ring Terminals. 3.9 Solder ID 1.8 m (6 ft) and 150 mm (6 in.) 10.5 12.7 Be sure to apply some electrical tape or insulating epoxy over the connections to prevent them from shorting to one another or person. 3.5 SPRING LOADED CONTACTS MM A (POGO PINS) Eng: S. Hanly 6.5 0 12.7 Figure 58: Example PCB configuration for directly mounting and connecting a PPA product to a PCB. Dimensions are shown as millimeters. Engineering & Approvals Rev: Part Number: 5.3 Example PCB Bare Wire 3.3 3.2 2.1 8.0 Solder OD 15.5 21.0 23.0 The PPA-7001 offers a clean cable from two bare wires to two M3 ring terminals. The PPA-7001 uses two ring terminals purchased through Digi-Key: WM9606-ND. The cabling is 22 gauge and also purchased through Digi-Key: E1002S-1000-ND. Any M3 nut and bolt will work to secure the terminals to the copper pads; but Midé uses two from McMaster: 90128A187 and 90591A121. Proper mounting torque of 1 N-m (8.85 in-lb) should be used. Two cables are included as part of the PPA-9001 clamping kit and not offered for individual sale. One cable is approximately 150 mm (6 inches) and the other is approximately 1.8 meters (6 feet). A simple drawing of the cable is provided in Figure 57. M3 Ring Terminal 5x 3x Description: Drw: App: Date Units: Tolerances Material: Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Midé Proprietary: Any information contained in this property of Midé Technology Corporation. Any repr without the written permission of Midé Technology Scale: All of the PPA products can be connected to with spring loaded contacts, or pogo pins. There are a number of products on the market that work well but Midé has had good experience with the products made by Mill-Max. It is recommended to apply some insulating potting compound around the contacts to protect them in long term operation and against shock and vibration. 0.6 22 AWG Figure 57: PPA-7001 cable incorporates two M3 ring terminals and either a 1.8 meter or 150 mm cable length. Dimensions are provided in mm. Be sure to apply some electrical tape or insulating epoxy over the connections to prevent them from shorting to one another or person. S. Hanly MM Engineering & Approvals Eng: PPA-7001 Rev: 1 M3 Screw Terminals to Bare Wire Cable Drw: App: Date Units: Tolerances Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Material: Midé Proprietary: Any information contained in this drawing is the sole property of Midé Technology Corporation. Any reproduction in part or in whole without the written permission of Midé Technology Corporation is prohibited. Scale: 1:2 Sheet: 1 of 1 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 48 of 70 1:1 3.0 ELECTRICAL CONNECTION 3.6 IC HOOK AND ALLIGATOR CLIPS IC hooks can be used for quick connection to all of these products but the hook can become disconnected rather easily. The PPA1001 product has raised bumps that enables connection with an alligator clip. Alligator clips are difficult to connect with for the other products. Figure 59: Simple alligator clips and/or IC hooks can be used for quick and simple testing. These are not advisable as long term connection solutions. 3.7 CONNECTORS Midé can include a connector with each unit but this involves a custom design. Some of Midé’s previous QuickPack and Volture products had connectors similar to these Flat Flex Cable Connectors. Midé has also utilized the flex circuit to design in a flat flex cable to be plugged directly into a ZIF connector. If a built in connector or some other alternative electrical termination method is desired, a custom solution can be designed. There will be an NRE of over $2K for such a design. See Section 7 for more information and an example photo. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 49 of 70 4.0 CLAMPING/MOUNTING 4.1 PPA-9001 CLAMP KIT Effective clamping is vital for the piezo products to perform properly. If these products are used in a cantilever configuration it is strongly recommended to purchase a PPA-9001 general purpose kit, or PPA-9004 clamp enclosure kit during initial product evaluation. 4.1.1. LIST OF CONTENTS The PPA-9001 clamp kit includes all the necessary materials and parts to get started with testing and evaluating the piezo product. This kit was designed for initial testing and feasibility analysis; but it can also be incorporated into your end product/ system. Midé also offers design services if a modified clamp configuration is required. Figure 60 and Table 2 list and identify the contents of this kit. Table 2: PPA-9001 Clamp Kit Contents. Description Part Number Quantity Nut Driver (5.5 mm) 52965A17 1 Hex Key (2.5 mm) 5334A32 1 Orange Electrical Tape (0.75”x 22 yards) 7619A19 1 Vibra-Title Reusable Threadlocker 75145A68 1 M3 Bolt, 5mm Long (Ultra Corrosion Resistant Steel) 91274A101 20 0.7 M3 Bolt, 12mm Long (Ultra Corrosion Resistant Steel) 91274A106 20 1.0 M3 Bolt, 20mm Long (Ultra Corrosion Resistant Steel) 91274A109 5 1.4 M3 Nut (Zinc Plated Steel) 90591A121 100 0.4 M3 Washer (Zinc Plated Steel) 91166A210 100 0.2 Magnet w/M3 Through Hole, 8.8 lb of Pull Force MM-B-16 8 5.7 Clamp Base (Glass Filled Nylon-12) PPA-5001 1 Clamp Bar (Aluminum 6061, 1/16” Thick) PPA-5002 2 Tip Mass Accessory (Aluminum 6061, 1/16” Thick) PPA-5003 2 M3 Ring Terminals to Bare Wire Cable, 1.8 meters (6 feet) PPA-7001-1800 1 M3 Ring Terminals to Bare Wire Cable, 150mm (6 in) PPA-7001-0150 1 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us Mass (g) 50 of 70 4.0 CLAMPING/MOUNTING Figure 61: Dimensions (mm) of the PA-5001 clamp base are provided. This base provides interfaces to clamp the piezo products, secure ring terminals, utilize mounting magnets, bolt the base down to another structure, and interfaces to secure a PCB to the top. 62.5 3.2 If additional hardware is desired, all hardware is available through McMaster-Carr and the part numbers listed in Table 2 are the distributor part numbers. Additional magnets can be purchased through K&J Magnetics. LEDs are purchased through Digi-Key. The bolts, nuts, washers, and magnets can be used as tip masses for tuning your piezo product. Each product has at least one hole at the tip for mounting these components. The PPA-5003 tip mass mounting accessory has a 3x7 grid of holes meant for mating with a PPA product and providing greater customization of where tip masses are located. The boundary conditions at the clamping line is critical for optimal performance; therefore Midé uses aluminum 6061 for the PPA5002 clamp bar. In order to ensure vibrations are not dampened through the clamp base, the PPA-5001 base piece is 3D printed from a stiff glass filled nylon material. These are 3D printed with laser sintering to keep costs down. The 3D model of this assembly and components is available to download here. Dimensions for the two parts are provided in Figure 61 and Figure 62. 0 Figure 62: The dimensions (mm) of the PPA-5002 clamp bar are provided. 4.1.2. CLAMP LOCATION Engineering & Approvals Date Aluminum 6061 These PPA products were designed for threeMMclamp locations. PPA-5002 3 These clamp lines are detailed on the drawing for each product and 2:1 Scale: shown below with the PPA-9001 clamping kit. The middle clamp location (Clamp 0) is the default position for all products. With this clamp line 5.3 mm (0.21 in) of the piezo wafer is clamped. This ensures adequate strain in the piezo during energy harvesting and sensing. It also provides a secure moment for delivering high force output in actuation. Clamp 6 extends 6mm toward the tip of the piezo pack. This clamp location is useful when trying to increase the resonant frequency of the beam. Clamp -6 extends 6mm away from the tip of the piezo beam. With this clamp configuration the piezo wafer is not directly clamped. This is ideal for applications where displacement performance is paramount. Not clamping on the piezo makes the pack much less stiff, and thus drives down the resonant frequency. Due to the decreased strain delivered to the piezo it also lengthens the lifetime of the pack. This clamp location is not recommended for energy harvesting, sensing, or force delivery applications due to the lack of strain. Eng: S. Hanly Part Number: Description: 10.5 31.3 Figure 60: All individual hardware components of the clamp kit are shown. 26.8 8.0 Rev: Clamp Bar for Piezo Standard Products Drw: App: Units: Tolerances Unless otherwise specified dimensions are in inches and tolerances are: Linear Angular .X 0.1 .X 0.1 .XX 0.05 .XXX 0.010 Material: Midé Proprietary: Any information contained in this drawing is the sole property of Midé Technology Corporation. Any reproduction in part or in whole without the written permission of Midé Technology Corporation is prohibited. Figure 63: The three clamp locations are shown for the PPA products. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 51 of 70 Sheet: 1 of 1 4.0 CLAMPING/MOUNTING The PPA-1001 does not have the same configuration as the other products and thus only can utilize two of the clamp locations as shown in Figure 64. To mount the PPA product, press the back edge of the beam against the alignment pins so that they are tangent. Midé also recommends that a layer of electrical tape be placed over the contacts pads on the PPA-1001. The PPA-5002 clamp bar is conductive so great care should be made to ensure that it does not short out the two contact pads. Figure 65: Clamping the piezo products is possible with two recessed nuts, two M3 12mm bolts, two PPA-5002 clamp bars and the PPA-5001 clamp base. Figure 64: The PPA-1001 only utilizes the Clamp 0 and Clamp 6 locations. CAUTION: The PPA-1001 cannot be clamped in the Clamp -6 location. Failure to put electric tape over the contact pads of the product can result in the PPA-5002 clamp bar shorting the piezo. This can damage the drive electronics and/or result in no output for energy harvesting or sensing applications. 4.1.3. CLAMPING INSTRUCTIONS Clamping the products is made easy with the PPA-5001 clamp base and PPA-5002 clamp bars. Select the desirable clamp location and align one clamp bar with the side alignment pins at the desired location. Then place the piezo beam on top of the clamp bar, using the alignment pins at the back of the clamp base. The second clamp bar is then placed on top, using the side alignment pins. Two 12mm M3 bolts can then be screwed down after nuts are placed in the bottom nut recesses. These recessed areas keep the nuts captive so that the bolts can be screwed down. The recommended torque that should be used is 1 N-m (8.85 in-lb). If a torque wrench is not available be sure to just use the provided hex key T handle and hand tighten to ensure the bolts are not over tightened and damage the piezo. CAUTION: Over tightening the bolts could damage the piezo. Most applications that require these piezo products will have heavy vibration either from the piezos or environmental vibration that the piezos are sensing/harvesting from. Vibration can often loosen bolts over time which is why threadlocker is included with each kit. This threadlocker is reusable for testing and evaluation; but for long term testing Midé suggests a more permanent threadlocker solution. It is imperative to use some form of threadlocker or the boundary conditions at the clamp or tip mass can change with time which will result in a change of performance over time. 4.1.4. EXAMPLE CONFIGURATIONS The PPA-9001 clamping kit was designed for evaluation purposes and for Midé’s wide range of customers and end applications. Therefore it was designed to be used in a great number of different configurations. Not only are there different clamp lines, there are different methods of mounting the base to your vibrating structure and mounting electronics or other hardware to the clamp base. Figure 66 provides some example mounting methods. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 52 of 70 4.0 CLAMPING/MOUNTING Figure 66: Various methods of securing the clamp base to its intended surface/structure and/or methods of securing a PCB or other hardware to the base are shown. The clamp base was also designed to hold more than one product at a time. This could be useful if you are looking to expand the frequency bandwidth (have several units tuned to different frequencies) for example. Figure 67 shows how several products can be clamped with one clamp assembly. 4.2 PPA-9004 CLAMP ENCLOSURE KIT Similar to the PPA-9001 kit, the PPA-9004 clamp enclosure kit is a valuable tool in evaluating and using Midé’s piezo products. Designed for the PPA-X014 and PPA-X022 devices, the PPA-9004 kit includes a versatile clamp enclosure, which can be used to test the devices in a number of configurations. The PPA-9004, is particularly suited for usage cases which can benefit from having a self-contained device, such as haptic feedback and vibration energy harvesting. 4.2.1 LIST OF CONTENTS Figure 67: The PPA-5001 clamp base can hold one of the two of the PPA-1014 and PPA-2014 products and three of the PPA-1021 and PPA-1022 products as shown. There are a host of other configurations that can be used with this clamp kit, including stacking of several bases onto one-another (longer bolts may be required)! Midé encourages you to be creative and would love to hear/see what you created! The PPA-9004 clamp enclosure kit includes a collection of components useful in testing the smaller PPA actuators (PPA1014, 2014, 1022). Similar to the PPA-9001 clamp kit, the PPA-9004 clamp enclosure kit was designed for initial testing and feasibility analysis; but it can also be incorporated into your end product/system. Figure 68, and Table 3 list and identify the contents of this kit. Table 3: PPA-9004 Clamp Kit Contents. Type Description Part Number Quantity 3/32” Ball-end L-keys Steel 5503A16, McMaster 1 Precise-Control Screwdriver 0.079” Slotted 52985A12, McMaster 1 Electrical Tape Orange Electrical Tape ¾” Wide, 22 yds long 7619A19, McMaster 1 M3 Nut 316 Stainless Steel 94150A325, McMaster 20 4-40 Nut 316 Stainless Steel 90257A005, McMaster 10 M3 Bolt, 6mm 316 Stainless Steel 90116A151, McMaster 10 M3 Flat Head Bolt, 10mm 316 Stainless Steel 91801A156, McMaster 10 4-40 7/8” Socket Head Cap Screw 316 Stainless Steel 92185A113, McMaster 10 Enclosure Bottom PA 850 (Black Nylon-11) SLS PPA-5008, Midé 2 Enclosure Top Watershed XC 11122 Normal Res SLA PPA-5009, Midé 1 Clamp Plate (-6mm) 6061 Aluminum, 1/8” thick PPA-5005, Midé 2 Clamp Plate (0mm) 6061 Aluminum, 1/8” thick PPA-5004 or PPA-5006, Midé 2 Tip Mass Accessory Rubber Button 95495K2, McMaster 2 Tip Mass Accessory Magnet MM-B-16, K&J Magnetics 1 Strain Relief Rubber Cable Strain Relief 1467094, ISC Engineering 2 Cable 2 conductor cable E1002S-1000-ND, Digikey 2 REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 53 of 70 4.0 CLAMPING/MOUNTING terminals and washers), please contact Midé for instructions. For the default soldered wire connection, the enclosure kit comes with wires with rubber strain relief. The strain relief is compression fit into a slot on the side of the base and top. The 3D models of the assembly and components are available to download here. Dimensions for the parts are provided in Figure 69, Figure 70, and Figure 71. Figure 68: The hardware components of the clamp enclosure kit are shown. For simplicity the actual wiring, and some of the repeated bolts etc are not shown. Some of the enclosure kit components are custom Midé parts, but the majority of the hardware is commercially available through McMaster, K&J Magnetics, ISC Engineering, and Digikey. The part numbers listed in Table 3 are the distributor part numbers, or Midé part numbers for the custom pieces. The bolts, nuts, washers, and magnets can be used as tip masses for tuning your piezo product. Also, a rubber bumper is included, which may be useful for tactile/haptic feedback, damper, sealing or other applications. The non-COTS clamp enclosure kit pieces are the two enclosure “bases” made from 3D printed black SLS material, the clear 3D printed SLA enclosure top, and water-jet cut aluminum 6061 clamp plates (-6mm, and 0mm pairs). The enclosure is designed such that a piezo is fitted between two matching clamp plates and mounted onto one of the “bases”. Depending on the desired configuration, either the clear top or the other base can be fitted on the bottom base to complete an enclosure. The thinner clear top has a small hole, which is designed to be used with the included bumper. This configuration may be useful to evaluate tactile feedback. Alternatively, the other black base can be fitted onto the bottom base, to construct a thicker but more versatile enclosure from a mounting hardware perspective. Although not included in the kit, the enclosure kit can also accept clamp plates for the +6mm clamp position. The PPA-9004 enclosure assembly is designed primarily for actuators with soldered wires; where-as the PPA-9001 clamp kit is designed primarily for ring terminal connections. That being said, the 9004 kit does have accommodations in the base design for a ring terminal like alternative connection approach (using non-conductive bolts/nuts [for voltage protection] and conductive Figure 69: PPA-5008 clamp enclosure base and PPA-5009 clamp enclosure top are shown above. This base provides interfaces to clamp the piezo products, incorporate the wiring strain relief, utilize mounting magnets, bolt the base down to another structure, and secure the top, the mirrored base or even a PCB to the top. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 54 of 70 4.0 CLAMPING/MOUNTING Figure 71: The dimensions (mm) of the PPA-5005 (-6mm) clamp plate, and PPA-5006 (0mm clamp plate). Note, the enclosure kit may be supplied with the PPA-5004 (0mm clamp plate, 3 holes), in place of the PPA-5006 at Mide’s discretion. Figure 70: Dimensions (mm) of the PPA-5008 clamp enclosure base and PPA-5009 clamp enclosure top are shown above. 4.2.2 CLAMP LOCATIONS The PPA products were designed for three clamp locations. These clamp lines are detailed on the drawing for each product and shown below with the PPA-9004 clamp enclosure kit base. The middle clamp location (Clamp 0) is the default position for all products. With this clamp line 5.3 mm (0.21 in) of the piezo wafer is clamped. This ensures adequate strain in the piezo during energy harvesting and sensing. It also provides a secure moment for delivering high force output in actuation. Clamp +6 extends 6mm toward the tip of the piezo pack. This clamp location is useful when trying to increase the resonant frequency of the beam. Clamp -6 retracts 6mm away from the tip of the piezo beam. With this clamp configuration the piezo wafer is not directly clamped. This is ideal for applications where displacement performance is paramount. Not clamping on the piezo makes the pack much less stiff, and thus drives down the resonant frequency. Due to the decreased strain delivered to the piezo it also lengthens the lifetime of the pack. This clamp location is recommended for actuation requiring larger deflections. For the PPA-9004, two clamp plates are used. The bottom plate offsets the actuator off of the base slightly; the base was designed this way to improve test modularity with other clamp positions. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 55 of 70 4.0 CLAMPING/MOUNTING Figure 72: The three clamp locations are shown for the PPA products. 4.2.3 CLAMPING INSTRUCTIONS The PPA-9004 clamp enclosure kit relies on sets of machined clamp plates, designed to clamp the actuators in the different clamp locations (-6mm, 0mm, +6mm) and onto the base. This differs from the approach with the PPA-9001 kits’ movable clamp bar. The clamp plates allow the overall width of the enclosure to be smaller. However, similarly to the PPA-9001 base design, the PPA-5008 base includes alignment dowels to set the actuators and clamp plates onto the base. In setting up the basic configuration, first start with placing the desired clamp plate (the kit includes only the -6mm, and 0mm clamps at this time), into the enclosure base using the alignment pins as guides. Then using the same alignment pins place the chosen actuator onto the base and bottom clamp plate. The second matching clamp plate is then placed on top of the piezo, again using alignment pin dowels. Finally, three 6mm long low profile M3 bolts are used to clamp the clamp plates and actuator to the base via M3 nuts captured in the bottom of the base nut recesses. The recommended torque that should be used is 1 N-m (8.85 in-lb). If a torque wrench is not available be sure to just use the provided hex key T handle and hand tighten to ensure the bolts are not over tightened and damage the piezo. Figure 73: Clamping the piezo products is possible with three recessed nuts, three low profile M3 bolts, two clamp plates (-6mm PPA-5005 shown) and the PPA-5008 clamp enclosure base. Left: PPA-X014. Right: PPA-X022. CAUTION: Over tightening the bolts could damage the piezo. Similar to the general purpose clamp kit, Midé has included threadlocker in the enclosure kit, such that vibrations do not loosen the bolts over time. This threadlocker is reusable for testing and evaluation; but for long term testing Midé suggests a more permanent threadlocker solution. It is imperative to use some form of threadlocker or the boundary conditions at the clamp or tip mass can change with time which will result in a change of performance over time. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 56 of 70 4.0 CLAMPING/MOUNTING 4.2.4 EXAMPLE CONFIGURATIONS The PPA-9004 clamp enclosure kit was primarily designed for haptic/tactile feedback and energy harvesting evaluation purposes, but it can support other general purpose usage. The kit comes with two “bases” and one “top”. Effectively, one could make two different enclosures with the kit; one using one of the bases and the clear top, the other with two of the bases. These two primary configurations are shown in Figure 74. Figure 75: Actuator clamp configuration using only the mounting hardware and -6mm clamp plates. Left: PPA-X014. Right: PPA-X022 Figure 74: Left: Enclosure clamp base with thinner clear top paired with tactile bumper. Right: Enclosure clamp where two “bases” are used to create an enclosure. Both configurations are shown with the bumper or mass on top; however, masses could also be added to the bottom of the actuator to manipulate resonance and performance. Make sure to account for actuator/mass/bumper swing when mounting these devices. The enclosures (especially when using the bumper and clear top) are designed to allow the bumper or mass to swing outward and beyond the envelope of the device. As two clamp plates are used in the enclosure design, one could also forego the base entirely, and create a very simple clamp, with just the actuator, clamp plates, M3 bolts and nuts. See Figure 75 for examples. CAUTION: To avoid being shocked, make sure that you never touch the electrical pads when energized, and make sure clamping hardware is not shorting in any way to the pads. It is wise to use the orange electrical tape to insulate the pads of the PPA device during use, especially if you choose to try the configuration in Figure 67. There are many other configurations possible with the clamp enclosure kit. If designing our actuators into your own custom enclosure, you can even incorporate the clamp plates or use them as a mounting template in your design. Interesting side note, Midé designed the enclosure(s) and its mounting holes to match the Slam Stick data logger sensing products. So it is feasible to mount the devices together! 4.2.5 PPA-5003 TIP MASS ACCESSORY REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 57 of 70 4.0 CLAMPING/MOUNTING The PPA-5003 tip mass mounting accessory provides a 3x7 grid of M3 mounting holes for mating to the PPA products and adding tip mass in many different configurations. This plate is water jet cut from aluminum 6061. Figure 77: The PPA-5003 is shown here extending the beam of a PPA-1011 product to reduce the resonant frequency. Figure 78: The PPA-5003 is shown here with tap masses mounted next to the PPA-1011 product to induce a shaking/twisting mode instead of the pure bending more. This will induce more strain in the piezo. Figure 76: The PPA-5003 tip mass mounting accessory provides a 3x7 grid of M3 mounting holes for mating to the PPA products and adding tip mass in many different configurations. This is water jet cut from aluminum 6061. Dimensions are listed in both millimeters and inches. This grid can be used to extend the beam length of the piezo which can reduce the resonance dramatically, important for a lot of folks interested in human based vibration. It can also be used to induce a more “rocking” mode shape than strictly a bending one which can create more strain in the piezo. Due to its grid like pattern it can also be used to connect a number of PPA products for very interesting harvesting potential and haptic feedback control. Get creative with this accessory and let Midé know how you used it! Figure 79: The PPA-5003 is shown with several products all connected to it. This highlights how the accessory can be used to pair different products and potentially expand the bandwidth of harvestable frequencies. 4.3 PPA-5004/5/6/7 CLAMP PLATES The clamp bars included in the PPA-9001 kit are very versatile from a configuration and trialing perspective. The PPA-9001 kit is even a viable solution for small to medium volume production runs. However, a different clamping solution may be desired for larger production runs or space constrained implementations. Due to this, Midé has designed several sets of clamp plates that provide a narrower clamp solution for the PPA actuators. The PPA-5004, 5005, 5006, and 5007 clamp plates are water jet cut from aluminum 6061 and can be used to clamp the PPA-X011, PPA-X014, and PPA-102X products. M3 bolts or 4-40 bolts can be used for clamping (follow clamp instructions presented REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 58 of 70 4.0 CLAMPING/MOUNTING in Section 4.1.3). There are three half circles meant to be used with M2 dowel pins (5/64” can also be used) to properly align the edge of the clamp with the piezo. Each of the clamp plates clamp the PPA actuators at a specific clamp line, (-6mm PPA5005, 0mm PPA-5004/6, +6mm PPA-5007). If a different clamp location is needed, contact Midé for more information. Notes: A set of PPA-5005 (-6mm) and PPA-5004 or 5006 clamp plates are included in the PPA-9004 enclosure kit. The PPA-5004 and PPA-5006 clamp plates are identical, except the PPA-5006 has five holes instead of three. The PPA-5005/6/7 clamp plates have 5 holes to allow more flexibility in possible custom piezo designs. Figure 80: The PPA-5004/5/6/7 clamp plates are low profile clamp solutions for designing directly into an end system. Top: PPA-5004 0mm clamp, Bottom (Left to Right): PPA-5005 [-6mm], PPA-5006 [0mm, 5 holes], PPA-5007 [+6mm]. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 59 of 70 4.0 CLAMPING/MOUNTING 4.4 TUNING To ensure the most efficient energy harvesting (or tip deflection) it is essential to tune the piezo beam’s natural frequency to match that of the vibrating source (or drive frequency). Tuning is performed in one of two ways: changing the clamp position, or adding/subtracting tip mass. Each of the PPA products include at least one hole at the tip so that tip masses can be adequately secured and in a repeatable location. c 4.4.1 CALCULATING THE REQUIRED TIP MASS In order to determine the appropriate clamp position and required tip mass, Midé conveniently provided the effective stiffness (k) and effective mass (m) of each product in each of the three clamp configurations. The relationship between natural frequency (f) and added tip mass (m_t) is provided in the following two equations depending on what you’re solving for. Be sure to convert the tip mass and effective mass to kilograms, not grams. Figure 81: The PPA-2011 frequency range plot is provided as an example. Please note that the stiffness and effective mass for each product is provided as a guide to estimate the required tip mass. The natural frequency of each product is impacted by temperature, manufacturing tolerances, clamp conditions, even the drive amplitude or vibration amplitude. In energy harvesting applications the resonance can change depending on the load being powered by the harvester. It’s important to test each product in the desired operating environment to accurately ensure proper tuning has been achieved. Let’s use an example where we would like to tune the PPA-2011 product to 60 Hz. Referencing the resonant frequency range plot (included again in Figure 81) we can see that each of the three clamp locations can be tuned to 60 Hz. We decide to use the Clamp 0 location because we know Clamp -6 provides little strain in the piezo and the Clamp 6 location requires much more tip mass than Clamp 0. Referencing the effective stiffness and mass from the product’s specifications we calculate the required tip mass as shown, which comes to 3.4 grams. Also note that these tip mass equations only work when adding tip mass centered over the tip mass holes on each product. If you are using the PPA-5003 tip mass accessory to add mass at other locations, these equations will be invalid. Also note that asymmetric tip mass loading will be invalid for these equations. 4.4.2 ADDING TIP MASS Each of the PPA products include at least one hole at the tip for mounting tip masses. Included in the PPA-9001 kit are nuts, bolts, washers, and magnets which can be used as tip masses; but virtually anything can be used. Customers can make their own tip mass structures to mate with these mounting holes and provide the perfect amount of mass. It is important to use threadlocker or some other adhesive once the tip mass has been REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 60 of 70 4.0 CLAMPING/MOUNTING added so that the mass doesn’t come dislodged during operation. 4.5 BONDING Midé encourages you to get creative with how tip mass is added. Sometimes asymmetric loading can be beneficial because it results in a twisting mode which can induce more strain in the piezo. Use the PPA-5003 tip mass mounting accessory for more customization and control on modal shapes and resonances. Please share your configuration with Midé and other customers! Midé’s recommends the LOCTITE® Hysol® E-120HP™ epoxy for direct bonding of its PPA piezo products to a structure. This twopart, 24-hour cure, high-performance aerospace grade structural epoxy provides excellent adhesion to the piezo polyimide and FR4 exteriors. Midé does not distribute the epoxy but it is available online. 4.4.3 DETERMININING THE CHARACTERISTICS OF THE VIBRATION SOURCE Each of the PPA products can be used as a sensor and the easiest way to measure the frequency and amplitude of the vibration source is to connect the output from the piezo to an oscilloscope. The oscilloscope will measure the frequency of the vibration and display a voltage output of the piezo. Referring to each products sensitivity (so long as the frequency is below the specified upper limit) will provide a rough estimate of the amplitude of the vibration. Alternatively Midé offers a range of vibration data logging products, the Slam Stick suite that incorporates the data acquisition, sensors, and power into one small, easy to use solution. Free analysis software is included so that FFTs can be generated with data gather by the device to determine the relative strength of each frequency. Also check out Midé’s Simple Harmonic Motion calculator to learn more on the relationship between acceleration, displacement, and velocity amplitude with frequency. 4.4.4 DETERMINING RESONANCE OF THE PIEZO BEAM The resonance of the beam is best determined by capturing what frequency the device “rings out” after being excited by a mechanical impulse. The easiest way to perform this type of tuning is to properly mount and clamp the product to a rigid structure. Next, attach the piezo's output directly to an oscilloscope for monitoring Add the appropriate tip mass to the end of the cantilevered beam, do not permanently adhere the tip mass yet. Apply an impulse mechanical load by very lightly "flicking" the end of the beam. This will cause the beam to "ring out". The frequency of the decaying wave is the natural frequency that the beam is currently tuned to. Add more mass to reduce the resonance and subtract some to increase the natural frequency. REVISION No. 003 | DATE: 01-27-2017 | Web: www.mide.com | Contact Form: mide.com/contact-us 61 of 70 5.0 MATERIAL PROPERTIES MATERIAL PROPERTIES 5.1 PIEZOELECTRIC PROPERTIES Property Symbol Dielectric Constant (1KHz) K Dielectric Loss Factor (1KHz) tanδe Density Units PZT 5 A PZT 5H PMN-PT 1900 3800 5400 % 1.8 2.0 ≤ 0.6 ρ g/cm³ 7.8 7.8 8.0 Curie Point Tc °C 350 225 >142 Mechanical Quality Factor Qm 80 30 80 Coercive Field (Measured
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