Fully-Coupled Modelling and Experimental Validation of Quarter Wavelength Resonator with Piezoelectric Backplate in Vibro-Acoustic Energy Harvesting

Muhammad Hatifi Mansor; Mohd Shahrir Mohd Sani; Mohd Firdaus Hassan; Lihua Tang

doi:10.15282/ijame.22.2.2025.19.0956

Authors

Muhammad Hatifi Mansor Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, Pekan 26600 Pahang, Malaysia
Mohd Shahrir Mohd Sani Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, Pekan 26600 Pahang, Malaysia
Mohd Firdaus Hassan Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang Al-Sultan Abdullah, Pekan 26600 Pahang, Malaysia
Lihua Tang Department of Mechanical Engineering, University of Auckland, Auckland, New Zealand

DOI:

https://doi.org/10.15282/ijame.22.2.2025.19.0956

Keywords:

Fully-coupled FEA, Vibro-acoustic, Energy harvesting, Piezoelectric

Abstract

Converting and harvesting the unwanted sounds produced by noise, especially in busy cities, can solve the issue of sound pollution and provide renewable power sources for low-power electronics. Although sound energy is freely available, it is hard to harvest due to its relatively low energy density compared to other sources. To enhance the efficiency of acoustic energy harvesting, particularly in the low-frequency range. The intgration of an optimised resonator is essential. This research study explores the performance of a vibroacoustic energy harvester incorporating a straight tube quarter-wavelength resonator coupled with a piezoelectric patch mounted on a flexible backplate. A fully coupled finite element model (FEM) was developed to capture the interaction between acoustic field, structural dynamic and piezoelectric transduction, and its predictions were validated against experimental results. The numerical model yielded a maximum output voltage of 1.41 V/Pa at 112 Hz, closely matching experiment findings of 1.44 V/Pa at 106 Hz under an incident sound pressure level of 90 dB. The proposed modelling framework demonstrates strong predictive capability and provides a robust basis for the design and optimisation of low-frequency acoustic energy harvester based on quarter-wavelength resonator configuration.

References

[1] F. J. Fahy, “Sound and Structural Vibration: Radiation, Transmission and Response,” 2nd ed. Amsterdam, Netherlands: Elsevier, 2007.

[2] S. Saadon and O. Sidek, “A review of vibration-based MEMS piezoelectric energy harvesters,” Energy Conversion and Management, vol. 52, no. 1, pp. 500–504, 2011.

[3] F. Liu, S. Horowitz, T. Nishida, L. Cattafesta and M. Sheplak, “A multiple degree of freedom electromechanical Helmholtz resonator,” The Journal of the Acoustical Society of America, vol. 122, no. 1, pp. 291–301, 2007.

[4] K. Ma, T. Tan, Z. Yan, F. Liu, W. H. Liao, and W. Zhang “Metamaterial and Helmholtz coupled resonator for high-density acoustic energy harvesting,” Nano Energy, vol. 82, p. 105693, 2021.

[5] X. Ji, L. Yang, Z. Xue, L. Deng, and D. Wang, “Enhanced quarter spherical acoustic energy harvester based on dual Helmholtz resonators,” Sensors, vol. 20, no. 24, p. 7275, 2020.

[6] B. Li, A. J. Laviage, J. H. You, and Y. J. Kim, “Harvesting low-frequency acoustic energy using quarter-wavelength straight-tube acoustic resonator,” Applied Acoustics, vol. 74, no. 11, pp. 1271–1278, 2013.

[7] M. Yuan, X. Sheng, Z. Cao, Z. Pang and G. Huang, “Joint acoustic energy harvesting and noise suppression using deep-subwavelength acoustic device,” Smart Materials and Structures, vol. 29, no. 3, p. 035012, 2020.

[8] X. Ji, L. Yang, Z. Xue, L. Deng, and D. Wang, “Enhanced quarter spherical acoustic energy harvester based on dual Helmholtz resonators,” Sensors, vol. 20, no. 24, p. 7275, 2020.

[9] A. Yang, P. Li, Y. Wen, C. Lu, X. Peng, J. Zhang, et al., “Enhanced acoustic energy harvesting using coupled resonance structure of sonic crystal and Helmholtz resonator,” Applied Physics Express, vol. 6, no. 12, p. 127101, 2013.

[10] M. Yuan, Z. Cao, J. Luo, J. Zhang, and C. Chang, “An efficient low-frequency acoustic energy harvester,” Sensors and Actuators A: Physical, vol. 264, pp. 84–89, 2017.

[11] D. Li, M. Hu, F. Wu, K. Liu, M. Gao, Z. Ju, et al., “Design of tunable low-frequency acoustic energy harvesting barrier for subway tunnel based on an optimized Helmholtz resonator and a PZT circular plate,” Energy Reports, vol. 8, pp. 8108–8123, 2022.

[12] B. Li, J. H. You, and Y.-J. Kim, “Low frequency acoustic energy harvesting using PZT piezoelectric plates in a straight tube resonator,” Smart Materials and Structures, vol. 22, no. 5, p. 055013, 2013.

[13] B. Li and J. H. You, “Simulation of acoustic energy harvesting using piezoelectric plates in a quarter-wavelength straight-tube resonator,” presented at the COMSOL Conf., Boston, MA, USA, 2012.

[14] B. Li and J. H. You, “Enhanced output power by eigenfrequency shift in acoustic energy harvester,” in Active and Passive Smart Structures and Integrated Systems 2014, vol. 9057, pp. 757-764, 2014.

[15] B. Li and J. H. You, “Experimental study on self-powered synchronized switch harvesting on inductor circuits for multiple piezoelectric plates in acoustic energy harvesting,” Journal of Intelligent Material Systems and Structures, vol. 26, no. 13, pp. 1646–1655, 2015.

[16] H. Xiao, T. Li, L. Zhang, W. H. Liao, T. Tan, Z. Yan, “Metamaterial based piezoelectric acoustic energy harvesting: Electromechanical coupled modeling and experimental validation,” Mechanical Systems and Signal Processing, vol. 185, p. 109808, 2023.

[17] P. Gothwal and A. Kumar, “Comparative analysis of piezo energy harvester optimization techniques: A comprehensive review,” Journal of Advanced Research in Applied Sciences and Engineering Technology, vol. 49, no. 1, pp. 211–226, 2024.

[18] M. Alshahrani, R. A. Dungca, and S. Alam, “Acoustic impedance matching for enhanced energy harvesting in resonator-based devices,” IEEE Sensors Journal, vol. 24, no. 2, pp. 1672–1680, 2024.

[19] M. S. Islam, T. Rahman, and Y. Zhu, “Hybrid analytical-FEM modelling for low-frequency acoustic energy harvesters,” Applied Acoustics, vol. 212, p. 109984, 2025.

[20] H. B. Fang, J. Q. Liu, Z. Y. Xu, L. Dong, L. Wang, D. Chen, et al., “Fabrication and performance of MEMS-based piezoelectric power generator for vibration energy harvesting,” Microelectronics Journal, vol. 37, no. 11, pp. 1280–1284, 2006.

[21] S. Kim, J. Choi, H. M. Seung, I. Jung, K. H. Ryu, H. C. Song, et al., “Gradient-index phononic crystal and Helmholtz resonator coupled structure for high-performance acoustic energy harvesting,” Nano Energy, vol. 101, p. 107544, Sep. 2022.

[22] P. M. Morse and K. U. Ingard, Theoretical Acoustics. Princeton, NJ, USA: Princeton Univ. Press, 1986.

[23] A. Soto-Nicolas, “Measurements on quarter-wavelength tubes and Helmholtz resonators,” Journal of the Acoustical Society of America, vol. 123, no. 5, p. 3842, 2008.

[24] A. H. Sohn and J. H. Park, “A comparative study on acoustic damping induced by half-wave, quarter-wave, and Helmholtz resonators,” Aerospace Science and Technology, vol. 15, no. 8, pp. 606–614, 2011.

[25] H. Park and C. H. Sohn, “On optimal design of half-wave resonators for acoustic damping in an enclosure,” J. Sound Vib., vol. 319, no. 3–5, pp. 807–821, 2009.

[26] F. J. Fahy, “Foundations of Engineering Acoustics”. Amsterdam, Netherlands: Elsevier, 2000.

[27] M. H. Mansor, M. S. M. Sani, and M. F. Hassan, “Eigenfrequency shift of piezoelectric backplate in vibro-acoustic energy harvesting,” International Journal of Automotive and Mechanical Engineering, vol. 20, no. 4, pp. 10850–10861, 2023.

[28] S. Ereiz, I. Duvnjak, and J. F. Jiménez-Alonso, “Review of finite element model updating methods for structural applications,” Structures, Elsevier, vol. 41, pp. 684-723, 2022.