Comparative Simulation Study of Active Sound Absorption Based on Piezoelectric Materials

Abstract

Active control simulation software is scarce, and most control problems are either computed using MATLAB programming or conducted through experimental setups. The former often yields unreliable simulation results, while the latter requires substantial financial resources. To address this issue, this article presents a new simulation method for comparing the active sound absorption and noise reduction performance of circular and square piezoelectric ceramic plates. The simulation method involves three steps. Firstly, ANSYS dynamic analysis is used to obtain the voltage generated by two polyvinylidene fluoride(PVDF) piezoelectric sensors on the piezoelectric ceramic plates under the current load step and separate the sound pressure and particle vibration velocity. Secondly, the sound pressure and particle velocity signals obtained in the first step are imported into MATLAB to separate the incident and reflected sound waves, and the optimal control algorithm in MATLAB is used to calculate the driving voltage to be applied. Thirdly, the driving voltage calculated by MATLAB is applied to both ends of the piezoelectric ceramic plates in ANSYS, and dynamic analysis is performed again to obtain the voltage generated by two PVDF piezoelectric sensors under the next load step. By repeating the above three steps, the active sound absorption control process of the piezoelectric ceramic plates can be simulated. The simulation experiment reveals the relationship between the applied driving voltage and frequency on piezoelectric ceramic plates of different shapes, and the simulation results closely match the theoretical calculations. The simulation experiment results demonstrate that, with the same surface area, circular piezoelectric ceramic plates exhibit significantly superior sound absorption and noise reduction performance compared to square piezoelectric ceramic plates.

Keywords

active sound absorption / active control / piezoelectric material / ANSYS / MATLAB

References

[1] ZHU C Y, WU R, HUANG P X, et al. Sound character calculation and analysis of sound barrier based on acoustoelectric analogy[J]. Journal of Donghua University (English Edition), 2019, 36(4):369-376.

[2] ZHU C Y, LIU R J. Theoretical calculation and analysis of muffler based on multilayer sound absorbing material[J]. Journal of Donghua University (English Edition), 2022, 39(1):40-54.

[3] ZHANG R Q, ZHU C Y, DING G F, et al. Active absorption of perforated plate based on airflow[J]. Journal of Donghua University (English Edition), 2022, 39(6):590-596.

[4] LUEG P. Process of silencing sound oscillations.US,2043416[P].1936-06-09.

[5] GUICKING D, KARCHER K. Active impedance control for one-dimensional sound[J]. Journal of Vibration and Acoustics, 1984, 106(3):393-396.

[6] LEROY P, BERRY A, HERZOG P, et al. Experimental study of a smart foam sound absorber[J]. The Journal of the Acoustical Society of America, 2011, 129(1):154-164.

[7] XU Z J. Research on active control for vehicle interior noise based on piezoelectric effect[D]. Shanghai: Shanghai University of Engineering Science, 2017. (in Chinese)

[8] ZHU C Y. Research on theories and methods of active sound absorption[D]. Wuhan: Huazhong University of Science and Technology, 2004. (in Chinese)

[9] SURYAKANT C N, SINGH A, RAMDAS R, et al. Enhanced absorption in structural acoustic silencers using piezo-shunting[J]. The Journal of the Acoustical Society of America, 2022, 152(2):1112-1122.

[10] WANG M F, YI K J, ZHU R. Tunable underwater low-frequency sound absorption via locally resonant piezoelectric metamaterials[J]. Journal of Sound and Vibration, 2023,548:117514.

[11] YANG D. Research on theories and methods of active absorption using piezoelectric composite structure[D]. Wuhan: Huazhong University of Science and Technology, 2010. (in Chinese)

[12] GUO Z Y. Theory of active noise absorption and methods of designing the control system[D]. Wuhan: Huazhong University of Science and Technology, 2012. (in Chinese)

[13] ZHU Y H, TANG W H. Research on linear quadratic regulator algorithm[J]. Modern Navigation, 2018, 9(6):451-454. (in Chinese)

Funding

National Natural Science Foundation of China(51705545)