Modares Mechanical Engineering

Modares Mechanical Engineering

Design and Optimization of a Pendulum Driven Piezoelectric Energy Harvester Embedded in Wheel Spokes for Autonomous Tire Sensor Systems

Document Type : Original Article

Authors
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
10.48311/mme.2026.119397.82983
Abstract
Energy harvesting technologies aim to recover wasted mechanical energy and are typically categorized into piezoelectric, electromagnetic, and electrostatic mechanisms. Among these, piezoelectric harvesters are particularly appealing due to their structural simplicity, scalability, and high energy density. This study presents a novel vibration-based piezoelectric energy harvesting system integrated within the spokes of a vehicle wheel to continuously supply power for autonomous tire sensor systems. The design employs a pendulum embedded inside each spoke that oscillates during wheel rotation and impacts plates on both sides, thereby exciting the piezoelectric layers mounted on them and converting vibrational energy into electrical output. Eliminating the use of adhesives and the placement of piezoelectric plates significantly improve structural integrity, durability, and operational safety compared to conventional strain based configurations mounted on the tire’s inner liner. The governing equations were solved and the results were validated against finite element analysis performed in COMSOL Multiphysics. The proposed configuration achieves average output power levels exceeding those of previously reported wheel-based designs by factors ranging from 2 to 20,000 while maintaining stable performance within the 20–120 km/h speed range required for Tire Pressure Monitoring System applications. Genetic algorithm–based optimization further enhanced the performance by 82.27%, confirming the system’s feasibility for next-generation intelligent tire technologies.
Keywords
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 [1]  Z. Liu, W. Qin, and S.-K. Lyu, “Design and Verification of a Novel Energy Harvester for Tire Pressure Monitoring Systems,” Machines, vol. 11, no. 5, p. 562, 2023. doi: 10.3390/machines11050562
[2] F. Li, Y. W. Li, and Q. Zhou, “A watch in developments of intelligent tire inspection and monitoring,” in 2005 IEEE International Conference on Vehicular Electronics and Safety, 2005, pp. 333–338. doi: 10.1109/ICVES.2005.1563668
[3] M. Germer, U. Marschner, and A. Richter, “Summary of energy collection application in vehicle tire pressure monitoring system,” in ACM International Conference Proceeding Series, 2019, pp. 1–6. doi: 10.1145/3351917.3351918
[4] C. R. Bowen and M. H. Arafa, “Energy harvesting technologies for tire pressure monitoring systems,” Advanced Energy Materials, vol. 5, no. 7, p. 1401787, 2015. doi: 10.1002/aenm.201401787
[5] M. Germer, U. Marschner, and A. Richter, “Energy Harvesting for Tire Pressure Monitoring Systems from a Mechanical Energy Point of View,” IEEE Internet of Things Journal, vol. 9, no. 10, pp. 7700–7714, 2022. doi: 10.1109/JIOT.2022.3152547
[6] N. Persson, S. Ahlqvist, and U. Forssell, “Low tire pressure warning system using sensor fusion,” SAE Technical Paper, 2001-01-3337, 2001. doi: 10.4271/2001-01-3337
[7] Y.-J. Wang, C.-D. Chen, and C.-K. Sung, “Design of a frequency-adjusting device for harvesting energy from a rotating wheel,” Sensors and Actuators A: Physical, vol. 159, no. 2, pp. 196–203, 2010. doi: 10.1016/j.sna.2009.12.007
[8] J. Siang, M. H. Lim, and M. S. Leong, “Review of vibration-based energy harvesting technology: Mechanism and architectural approach,” International Journal of Energy Research, vol. 42, no. 5, pp. 1870-1893, 2018. doi: 10.1002/er.3986
[9] Y. Li, C. Xie, S. Quan, C. Zen, and W. Li, “Vibration energy harvesting in vehicles by gear segmentation and a virtual displacement filtering algorithm,” International Journal of Energy Research, vol. 42, no. 4, pp. 1702–1713, 2018. doi: 10.1002/er.3975
[10] C. B. Williams and R. B. Yates, “Analysis of a micro-electric generator for microsystems,” Sensors and Actuators A: Physical, vol. 52, no. 1–3, pp. 8–11, 1996. doi: 10.1016/0924-4247(96)80118-X
[11] I. Al-Najati, K. W. Chan, and A. F. Jasim, “Development and Optimization of a New End-Cap Tire-Strain Piezoelectric Energy Harvester (TSPEH),” Energy Conversion and Management, vol. 303, p. 118109, 2024. doi: 10.1016/j.enconman.2024.118109
[12] E. Lefeuvre, A. Badel, and C. Richard, “Piezoelectric energy harvesting device optimization by synchronous electric charge extraction,” Journal of Intelligent Material Systems and Structures, vol. 16, no. 10, pp. 865–876, 2005. doi: 10.1177/1045389X05056859
[13] A. Ebrahimi, F. Jasim, and W. Cheung, “The future of tire energy: a novel one-end cap structure for sustainable energy harvesting,” Materials for Renewable and Sustainable Energy, vol. 13, pp. 63–90, 2024. doi: 10.1007/s40243-023-00254-3
[14] S. Vaishak, R. Manjunatha, and G. L. Manjunath, “Piezoelectric energy harvesting from automotive wheels,” in Springer Proceedings in Materials, vol. 18, 2022, pp. 163–178. doi: 10.1007/978-981-19-5395-8_13
[15] X. Rui, Z. Zeng, and Y. Zhang, “Design and Experimental Investigation of a Self-Tuning Piezoelectric Energy Harvesting System for Intelligent Vehicle Wheels,” IEEE Transactions on Vehicular Technology, vol. 69, no. 2, pp. 1440–1451, 2020. doi: 10.1109/TVT.2019.2959616
[16] A. E. Kubba and K. Jiang, “Efficiency enhancement of a cantilever-based vibration energy harvester,” Sensors, vol. 14, no. 1, pp. 188–211, 2013. doi: 10.3390/s140100188
[17] G. Manla, N. M. White, and J. Tudor, “Harvesting energy from vehicle wheels,” in TRANSDUCERS 2009, 2009, pp. 1389–1392.
[18] Y. Zhang, R. Zheng, and K. Shimono, “Effectiveness testing of a piezoelectric energy harvester for an automobile wheel using stochastic resonance,” Sensors, vol. 16, no. 10, p. 1727, 2016. doi: 10.3390/s16101727
[19] H. A. Sodano, D. J. Inman, and G. Park, “Comparison of piezoelectric energy harvesting devices for recharging batteries,” Journal of Intelligent Material Systems and Structures, vol. 16, no. 10, pp. 799–807, 2005. doi: 10.1177/1045389X05056681
[20] M. Elhadidi, M. Helal, O. Nassar, M. Arafa, and Y. Zeyada, “Tunable bistable devices for harvesting energy from spinning wheels,” Proceedings of SPIE, vol. 9431, 2015. doi: 10.1117/12.2083669
[21] J. R. Leppe-Nerey, F. Z. Sierra-Espinosa, and M. E. Nicho, “Energy harvesting by car-tire using piezoelectric polymer films blended with carbon-nanotubes,” Next Energy, vol. 5, p. 100177, 2024. doi: 10.1016/j.nxener.2024.100177
[22] M. Momen, S. Ebrahiminejad, and M. Mollajafari, “Multi-objective optimization of exponential-cross-section piezoelectric cantilever under tire rotational excitation for self-powered tire pressure monitoring systems,” Journal of Cleaner Production, vol. 493, p. 145255, 2025. doi: 10.1016/j.jclepro.2025.145255
[23] K. Nguyen, M. Bryant, and I. Song, “The application of PVDF-based piezoelectric patches in energy harvesting from tire deformation,” Sensors, vol. 22, no. 24, p. 9995, 2022. doi: 10.3390/s22249995
[24] F. Cottone, H. Vocca, and L. Gammaitoni, “Nonlinear energy harvesting,” Physical Review Letters, vol. 102, no. 8, p. 080601, 2009.
[25] M. Momen, M. Mollajafari, and S. Ebrahiminejad, “Energy harvesting with a single beam with two radial sections under the tire rotation excitation,” Iranian Journal of Mechanical Engineering Transactions of the ISME, vol. 25, no. 4, pp. 81–99, 2024. doi: 10.30506/ijmep.2023.553046.1875
[26] H. Givois, A. Allein, and F. Le Krom, “Strain Energy Harvesting Performances of Piezoelectric Composite Transducers in Rolling Tires,” Energy Conversion and Management, 2025 (In Press). doi: 10.2139/ssrn.5229765
[27] V. Rastogi, A. Mukherjee, and Dasgupta, “A review on extension of Lagrangian-Hamiltonian mechanics,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 33, no. 1, pp. 22–33, 2011. doi: 10.1590/S1678-58782011000100004
[28] E. Jacquelin, S. Adhikari, and M. I. Friswell, “A piezoelectric device for impact energy harvesting,” Smart Materials and Structures, vol. 20, no. 10, p. 105008, 2011. doi: 10.1088/0964-1726/20/10/105008
[29] M. Gen and R. Cheng, “A brief review of penalty methods in genetic algorithms for optimization,” in Proceedings of the Korean Operations and Management Science Society Conference, 1996.
[30] R. Yeganeh, S. A. Bagherzadeh, and M. Salehi, “Experimental and numerical study of energy harvesting from harmonic loading on high aspect ratio micro-UAV wings,” Modares Mechanical Engineering, vol. 18, no. 9, pp. 1–7, 2018. doi: 10.22092/amsr.2022.358840.1419
[31] S. J. Roundy, “Energy Scavenging for Wireless Sensor Nodes with a Focus on Vibration to Electricity Conversion,” Ph.D. dissertation, University of California, Berkeley, 2003.
[32] M. Renaud, P. Fiorini, and R. van Schaijk, “Harvesting energy from the motion of human limbs: the design and analysis of an impact-based piezoelectric generator,” Smart Materials and Structures, vol. 18, no. 3, p. 035001, 2009. doi: 10.1088/0964-1726/18/3/035001
[33] H. Kim, W.-C. Tai, and J. Parker, “Self-tuning stochastic resonance energy harvesting for rotating systems under modulated noise and its application to smart tires,” Mechanical Systems and Signal Processing, vol. 122, pp. 769–785, 2019. doi: 10.1016/j.ymssp.2018.12.040
[34] Q. Gao, W. Li, and Y. Shi, “A rotating auxetic energy harvester for vehicle wheels,” Engineering Structures, vol. 288, p. 116190, 2023. doi: 10.1016/j.engstruct.2023.116190