Nonlinear free vibration of piezoelectric cylindrical nanoshells

作     者：Yanqing WANG Yunfei LIU J.W.ZU 

作者机构：Department of MechanicsNortheastern University Key Laboratory of Ministry of Education on Safe Mining of Deep Metal MinesNortheastern University Schaefer School of Engineering and ScienceStevens Institute of Technology 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2019年第40卷第5期

页      面：601-620页

核心收录：

学科分类：08[工学] 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：Project supported by the National Natural Science Foundation of China(No.11672071) the Fundamental Research Funds for the Central Universities(No.N170504023) 

主　　题：piezoelectric cylindrical nanoshell nonlinear vibration Donnell's nonlinear shell theory nonlocal elasticity theory multiple-scale method size effect 

摘      要：The nonlinear vibration characteristics of the piezoelectric circular cylindrical nanoshells resting on an elastic foundation are analyzed. The small scale effect and thermo-electro-mechanical loading are taken into account. Based on the nonlocal elasticity theory and Donnell s nonlinear shell theory, the nonlinear governing equations and the corresponding boundary conditions are derived by employing Hamilton s principle. Then,the Galerkin method is used to transform the governing equations into a set of ordinary differential equations, and subsequently, the multiple-scale method is used to obtain an approximate analytical solution. Finally, an extensive parametric study is conducted to examine the effects of the nonlocal parameter, the external electric potential, the temperature rise, and the Winkler-Pasternak foundation parameters on the nonlinear vibration characteristics of circular cylindrical piezoelectric nanoshells.