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

IF 4.5 2区工程技术 Q1 MATHEMATICS, APPLIED Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI:10.1007/s10483-023-3034-7

Dongxu Du, Jun Yang, Wei Sun, Hongwei Ma, Kunpeng Xu

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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.

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压电分流阻尼片圆柱壳半解析建模及减振分析

通过考虑机电耦合，建立了带有压电并联阻尼片的圆柱壳的统一动力学模型。该模型具有通用性，可以模拟不同状态下壳体的振动特性，包括PSDP不能连接、部分连接和完全连接到并联电路的状态。为了考虑电阻并联电路的电阻尼效应，提出了具有频率相关性的等效损耗因子和弹性模量。此外，利用拉格朗日方程导出了PSDP圆柱壳的半解析动力方程。利用PSDP对圆柱壳进行了实验测试，验证了PSDP在圆柱壳上的减振能力和模型的正确性。此外，参数分析表明，在并联电路中确定合适的电阻值可以达到良好的减振效果。

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来源期刊

Applied Mathematics and Mechanics-English Edition 数学-力学

CiteScore

6.70

自引率

9.10%

发文量

106

审稿时长

2.0 months

期刊介绍： Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.