RESPONSE ANALYSIS OF PIEZOELECTRIC SHELLS IN PLANE STRAIN UNDER RANDOM EXCITATIONS

作     者：Zuguang Ying Xinqun Zhu 

作者机构：Department of Mechanics School of Aeronautics and Astronautics Zhcjiang University Hangzhou 310027 China School of Engineering University of Western Sydney Penrith South DC NSW 1797 Australia 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2009年第22卷第2期

页      面：152-160页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Zhejiang Provincial Natural Science Foundation of China (No. Y607087) 

主　　题：piezoelectric shell random vibration boundary excitation random response 

摘      要：The random response of a piezoelectric thick shell in plane strain state under boundary random excitations is studied and illustrated with a piezoelectric cylindrical shell. The differential equation for electric potential is integrated radially to obtain the electric potential as a function of displacement. The random stress boundary conditions are converted into homogeneous ones by transformation,which yields the electrical and mechanical coupling differential equation for displacement under random excitations. Then this partial differential equation is converted into ordinary differential equations using the Galerkin method and the Legendre polynomials,which represent a random multi-degree-of-freedom system with asymmetric stiffness matrix due to the electrical and mechanical coupling and the transformed boundary conditions. The frequency-response function matrix and response power spectral density matrix of the system are derived based on the theory of random vibration. The mean-square displacement and electric potential of the piezoelectric shell are finally obtained,and the frequency-response characteristics and the electrical and mechanical coupling properties are explored.