Nonlinear free vibration of piezoelectric cylindrical nanoshells

Yanqing Wang, Yunfei Liu, J. W. Zu

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The nonlinear vibration characteristics of the piezoelectric circular cylindrical nanoshells resting on a viscoelastic 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 temper-ature rise, and the Winkler-Pasternak foundation parameters on the nonlinear vibration characteristics of circular cylindrical piezoelectric nanoshells.

Original languageEnglish
Pages (from-to)601-620
Number of pages20
JournalApplied Mathematics and Mechanics (English Edition)
Volume40
Issue number5
DOIs
StatePublished - 1 May 2019

Keywords

  • Donnell’s nonlinear shell theory
  • O321
  • multiple-scale method
  • nonlinear vibration
  • nonlocal elasticity theory
  • piezoelectric cylindrical nanoshell
  • size effect

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