The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches

doi:10.1007/s10483-023-3034-7

摘要/Abstract

摘要： By considering electromechanical coupling, a unified dynamic model of the cylindrical shell with the piezoelectric shunt damping patch (PSDP) is created. The model is universal and can simulate the vibration characteristic of the shell under different states including the states in which PSDP cannot be connected, partially connected, and completely connected to the shunt circuit. The equivalent loss factor and elastic modulus with frequency dependence are proposed to consider the electrical damping effect of resistance shunt circuits. Moreover, the semi-analytical dynamic equation of the cylindrical shell with PSDP is derived by the Lagrange equation. An experimental test is carried out on the cylindrical shell with PSDP to verify the vibration suppression ability of PSDP on the cylindrical shell and the correctness of the proposed model. Furthermore, the parameter analysis shows that determining the appropriate resistance value in the shunt circuit can achieve a good vibration suppression effect.

关键词: cylindrical shell, vibration reduction analysis, piezoelectric shunt, semi-analytical modeling, experimental study

Abstract: By considering electromechanical coupling, a unified dynamic model of the cylindrical shell with the piezoelectric shunt damping patch (PSDP) is created. The model is universal and can simulate the vibration characteristic of the shell under different states including the states in which PSDP cannot be connected, partially connected, and completely connected to the shunt circuit. The equivalent loss factor and elastic modulus with frequency dependence are proposed to consider the electrical damping effect of resistance shunt circuits. Moreover, the semi-analytical dynamic equation of the cylindrical shell with PSDP is derived by the Lagrange equation. An experimental test is carried out on the cylindrical shell with PSDP to verify the vibration suppression ability of PSDP on the cylindrical shell and the correctness of the proposed model. Furthermore, the parameter analysis shows that determining the appropriate resistance value in the shunt circuit can achieve a good vibration suppression effect.

Key words: cylindrical shell, vibration reduction analysis, piezoelectric shunt, semi-analytical modeling, experimental study

中图分类号:

74H45

Dongxu DU, Jun YANG, Wei SUN, Hongwei MA, Kunpeng XU. The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(10): 1675-1700.

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