含弹性基础压电功能梯度圆柱壳的振动分析  

Vibration Analysis of a Piezoelectric Functionally Graded Cylindrical Shell Resting on Elastic Foundation

作　　者：吕志鹏[1] 刘文光[1] 刘超 张宇航 LYU Zhipeng;LIU Wenguang;LIU Chao;ZHANG Yuhang(School of Aeronautical Manufacturing Engineering,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学航空制造工程学院,南昌330063

出　　处：《噪声与振动控制》2022年第5期6-12,41,共8页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51965042)。

摘　　要：为分析多物理场下含双参数弹性基础压电功能梯度圆柱壳的自由振动特性,以含Pasternak-Winkler弹性基础压电功能梯度圆柱壳为对象,采用1阶剪切变形理论和Hamilton变分原理推导多场作用下含弹性基础压电功能梯度圆柱壳的模态频率方程,讨论弹性基础参数、温度梯度、压电层的材料种类和功能梯度层的材料组分等对模态频率的影响。结果表明,模态频率随温度梯度的增大而减小,随陶瓷体积分数指数和弹性基础参数的增大而增大;选用BaTiO时,圆柱壳的模态频率以及对温度梯度的敏感性均最大,而受外激励电压的影响最小;相较于外激励电压,温度梯度对模态频率影响较大。Free vibration characteristics of a piezoelectric functionally graded(PFG) cylindrical shell resting on Pasternak-Winkler elastic foundation in the multi-physics field are studied. The modal frequency equation of the PFG cylindrical shell is established by using the first-order shear deformation theory and Hamilton variational principle. The effects of the elastic foundation parameters, temperature gradient, material types of piezoelectric layer and composition of the functionally graded material layer on the modal frequency are discussed. The results show that the modal frequency decreases with the increasing of the temperature gradient, and increases with the increasing of the ceramic volume fraction index and the elastic foundation parameters. When the BaTiOis selected as the piezoelectric material, the modal frequency and the sensitivity to the temperature gradient of the cylindrical shell are the largest, but the influence of the applied voltage on the modal frequency is the smallest, and the temperature gradient has a larger effect on the modal frequency than the applied voltage.

关 键 词：振动与波 功能梯度材料 压电材料 弹性基础 模态频率 

分 类 号：TB381[一般工业技术—材料科学与工程] O327[理学—一般力学与力学基础]