• 综合
  • 标题
  • 关键词
  • 摘要
  • 学者
  • 期刊-刊名
  • 期刊-ISSN
  • 会议名称
搜索

作者:

Chen, Li Hua (Chen, Li Hua.) | Cui, Shou Jie (Cui, Shou Jie.) | Zhang, Xiao Zhi (Zhang, Xiao Zhi.) | Zhang, Wei (Zhang, Wei.)

收录:

EI Scopus

摘要:

For the laminated piezoelectric rectangular plate with large deflection and large rotation, the nonlinear equilibrium differential equations are derived and solved. Firstly, the global Cartesian coordinate system to describe the undeformed geometry and the local orthogonal curvilinear coordinate system to describe the deformed geometry are established respectively on the mid-plane of the plate before and after the deformation, and the relationship between the two coordinates is expressed by transformation matrix. For the convenience of calculation, the expressions of the nonlinear curvatures and inplane strains are obtained by Taylor series expansion. Considering the piezoelectric effect, three equilibrium partial differential equations describing nonlinear bending problems are obtained by the principle of virtual work. Furthermore, in order to simplify the solution process, the stress function is introduced to automatically satisfy the first two equations for the large deformation of the cantilever plate, and the relationship between stress function, the mid-plane internal force and shear force is also given for the first time. Thereforethe stress function and the transversal displacement are the main unknowns of the governing equation and compatibility equation. Additionally, the approximate deflection function and stress function are given which can satisfy all the displacement boundary conditions and only part of the force boundary conditions. Thereby, the generalized Galerkin method is used to obtain the approximate solution of the nonlinear bending problem. Finally, the results in the study are verified by comparison with the results obtained from the finite element method. It also provides a theoretical basis for the engineering application of the large deformation of the piezoelectric cantilever plate. Copyright © 2018 ASME.

关键词:

Boundary conditions Deformation Functions Galerkin methods Laminating Linear transformations Nanocantilevers Nonlinear equations Piezoelectricity Plates (structural components) Stresses

作者机构:

  • [ 1 ] [Chen, Li Hua]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Cui, Shou Jie]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Zhang, Xiao Zhi]Physics Department Material Science Program, University of Vermomt, Burlington; VT, United States
  • [ 4 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

通讯作者信息:

电子邮件地址:

查看成果更多字段

相关关键词:

来源 :

年份: 2018

卷: 4B-2018

语种: 英文

被引次数:

WoS核心集被引频次: 0

SCOPUS被引频次:

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

在线人数/总访问数:1572/2932293
地址:北京工业大学图书馆(北京市朝阳区平乐园100号 邮编:100124) 联系我们:010-67392185
版权所有:北京工业大学图书馆 站点建设与维护:北京爱琴海乐之技术有限公司