Nonlinear vibration of magnetoelectroelastic nanoscale shells embedded in elastic media in thermoelectromagnetic fields

Yan Qing Wang, Yun Fei Liu, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This study investigates the nonlinear vibration of magnetoelectroelastic composite cylindrical nanoshells embedded in elastic media for the first time. The small-size effect and thermoelectromagnetic loadings are considered. Based on the nonlocal elasticity theory and Donnell’s nonlinear shell theory, the nonlinear governing equations and the corresponding boundary conditions are derived using Hamilton’s principle. Then, the Galerkin method is utilized to transform the governing equations into a nonlinear ordinary differential equation and subsequently the method of multiple scales is employed to obtain an approximate analytical solution to nonlinear frequency response. The present results are verified by the comparison with the published ones in the literature. Finally, an extensive parametric study is conducted to examine the effects of the nonlocal parameter, the external magnetic potential, the external electric potential, the temperature change, and the elastic media on the nonlinear vibration characteristics of magnetoelectroelastic composite nanoshells.

Original languageEnglish
Pages (from-to)2331-2347
Number of pages17
JournalJournal of Intelligent Material Systems and Structures
Volume30
Issue number15
DOIs
StatePublished - 1 Sep 2019

Keywords

  • Donnell’s nonlinear shell theory
  • magnetoelectroelastic composite nanoshells
  • multiple scales method
  • nonlinear vibration
  • nonlocal elasticity theory
  • size effect

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