Evaluation of the Power Generation Effect Obtained by Inserting a Piezoelectric Sheet in the Backlash Clearance of a Circular Arc Helical Gear

Power generation effect, obtained by inserting a piezo- electric sheet in the backlash clearance of a circular arc helical gear, is evaluated. Such type of screw gear is preferred since, in comparison with the involute tooth profile, the circular arc profile leads to reduced stress-concentration effects, and improved life of the piezoelectric film. Firstly, geometry of the circular arc helical gear, and properties of the piezoelectric sheet are presented. Then, description of the test-rig, consisted of a right-hand thread gear meshing with a left-hand thread gear, and the voltage measurement procedure are given. After creating the tridimensional (3D) model of the meshing gears in SolidWorks, they are 3D-printed in acrylonitrile butadiene styrene (ABS) resin. Variation of the generated voltage versus time, during a meshing cycle of the circular arc helical gear, is measured for various values of the center distance. Then, the change of the maximal, minimal, and peak-to-peak voltage versus the center distance is illustrated. Optimal center distance of the gear, to achieve voltage maximization, is found and its significance is discussed. Such results prove that the contact pressure of the meshing gears can be measured, and also, the electrical power can be generated by employing the proposed technique.





References:
[1] H. Winter, B.R. Hohn, K. Michaelis, and E. Kagerer, “Measurement of Pressure, Temperature and Film Thickness in Disk and Gear Contact,” Proceedings of the JSME International Conference on Motion and Power Transmissions, pp. 474–479, 1991.
[2] E. Kagerer, and M. Koniger, “Ion Beam Sputter Deposition of Thin Film Sensors for Applications in Highly Loaded Contacts,” Thin Solid Films, 182, pp. 333–344, 1989.
[3] M. Owashi, and Y. Mihara, “Development of a Measurement Method of Contact Pressure between Gear Teeth Using a Thin-Film Sensor (Measurement of Pressure Distribution by Multi-Point Pressure Sensor with Shared Lead Films),” Transactions of the JSME C, 77(782), pp. 3938–3950, 2011 (in Japanese).
[4] “Prescale Pressure Measurement Film,” Fuji Film Instruction Manual, pp. 1–10, 2018.
[5] Z. Chen, H. Ding, B. Li, L. Luo, L. Zhang, and J. Yang, “Geometry and Parameter Design of Novel Circular Arc Helical Gears for Parallel-axis Transmission,” Advances in Mechanical Engineering, 9(2), pp. 1–11, 2017.
[6] D. Liang, B. Chen, Y. Gao, S. Peng, and S. Qin, “Geometric and Meshing Properties of Conjugate Curves for Gear Transmission,” Mathematical Problems in Engineering, 2014, pp. 484802.1–12, 2014.
[7] Y. Chen, and L. Yao, “Design Formulae for a Concave Convex Arc Line Gear Mechanism,” Mechanical Sciences, 7, pp. 209–218, 2016.
[8] G. Li, L. Zhang, and W. Han, “Profile Design and Displacement Analysis of the Low Pulsating Gear Pump,” Advances in Mechanical Engineering, 10(3), pp. 1–11, 2018.
[9] J. Hong, L. Yao, W. Ji, and Z. Huang, “Kinematic Modeling for the Nutation Drive based on Screw Theory,” Proceedings of the 25th Design Conference Innovative Product Creation, 36, pp. 123–128, 2015.
[10] Y.R. Wu, and Z.H. Fong, “Rotor Profile Design for the Twin-screw Compressor based on the Normal-rack Generation Method,” ASME Journal of Mechanical Design, 130, pp. 042601.1–8, 2008.
[11] Y. Cai, and L. Yao, “Comparison Analysis and Verification on Spur and Helical Three-lobe Rotors with Novel Tooth Profile in Roots Blower,” Proceedings of the 2nd International Conference on Mechanical, Electronic and Information Technology Engineering, pp. 418–419, 2016.
[12] “Helical Rotor Blower. Roots Type: ARH-S/SP, AR-E/EP Series,” ShinMaywa General Catalog, K-3236P, pp. 1–39, 2018.
[13] “Piezoelectric Films,” Tokyo Sensors Product Guide Catalog, C40J060- 20120430001, pp. 1–29, 2012.
[14] D.W. Dudley, Handbook of Practical Gear Design. Lancaster: Technomic Publishing Company, 1994, pp. 5–119.
[15] Japanese Industrial Standard Collection. Tokyo: Technical and Industrial Book Company, 2015, pp. 11.11–11.17 (in Japanese).
[16] B. Suciu, K. Koyanagi, and H. Nakamura, “Evaluation of the Energy Harvestable from an Airless Tire Employing Radially Distributed Piezoelectric Spokes or Circumferentially Distributed Piezoelectric Omega Springs,” Transactions of the JSME, 81(824), pp. 14.00560.1–14, 2015 (in Japanese).
[17] K.H. Baumgartel, D. Zollner, and K.L. Krieger, “Classification and Simulation Method for Piezoelectric PDVF Sensors,” Procedia Technology, 26, pp. 491–498, 2016.
[18] Y. Hu, W. Kang, Y. Fang, L. Xie, L. Qiu, and T. Jin, “Piezoelectric Poly (vinylidene fluoride) (PVDF) Polymer-Based Sensor for Wrist Motion Signal Detection,” Applied Sciences, 8(836), pp. 80.50836.1–12, 2018.
[19] P. Martins, A.C. Lopes, and S.L. Mendez, “Electroactive Phases of Poly(vinylidene fluoride). Determination, Processing, and Applications,” Progress in Polymer Science, 39, pp. 683–706, 2014.
[20] “MR8870 Memory High-Recorder,” HIOKI Instruction Manual, pp. 1–18, 2018.
[21] G.W. Stachowiak, and A.W. Batchelor, Engineering Tribology. Amsterdam: Elsevier, 2005, pp. 1–795.
[22] L.L. Howell, Compliant Mechanisms. New York: John Wiley & Sons, 2001, pp. 1–72.