Vibration characteristics of acoustic black hole beam with piezoelectric shunt damping

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (9) : 113-119.

WAN Zhiwei1,2, ZHU Xiang1,2,3, LI Tianyun1,2,3, LI Jing1,2

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Abstract

Piezoelectric shunt damping is introduced to form the acoustic black hole piezoelectric composite structure for acoustic black hole beam structure. Its vibration characteristics are analyzed using the semi-analytical method. Based on the Hamiltonian principle, the Mexican Hat wavelet is used as the type function, and the energy method is used to solve the free vibration and forced vibration of the acoustic black hole cantilever. The results are in good agreement with the results of the FEM, which verifies the reliability of the semi-analytical method. Then the shunt damping is introduced to make use of its local resonance mechanism. The shunt damping is then introduced, and the shunt damping is equivalent to an additional material by the equivalent medium method. The acoustic black hole beam's vibration characteristics with shunt damping are analyzed using its local resonance mechanism. The approximate method to determine the local resonance frequency is theoretically analyzed. The piezoelectric shunt damping can couple the local resonance and structural resonance by adjusting the inductance value, thereby attenuating the vibration response peak. Proper damping can make the oscillation effect disappear. The designed acoustic black hole beam with shunt damping is significantly attenuated for the first-order resonance peak than the traditional damping layer acoustic black hole beam. It provides a new idea for low-frequency vibration control of acoustic black hole structure.

Key words

Acoustic black hole / shunt damping / semi-analytical method / local resonance

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WAN Zhiwei1,2, ZHU Xiang1,2,3, LI Tianyun1,2,3, LI Jing1,2. Vibration characteristics of acoustic black hole beam with piezoelectric shunt damping[J]. Journal of Vibration and Shock, 2022, 41(9): 113-119

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