Nonlinear vibrations of electroelastic shells with relatively large shear deformations

Jiashi Yang, Xiaomeng Yang, Joseph A Turner

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A set of two-dimensional nonlinear equations for thin electroelastic shells in vibrations with moderately large thickness-shear deformations are obtained from the variational formulation of the three-dimensional equations of nonlinear electroelasticity by expanding the mechanical displacement vector and the electric potential into power series in the shell thickness coordinate and retaining lower order terms. As an example, the equations are used to study nonlinear thickness-shear vibrations of a circular cylindrical shell driven by an electric voltage. Nonlinear amplitude-frequency behavior of electric current near strong resonance is obtained.

Original languageEnglish (US)
Pages (from-to)660-670
Number of pages11
JournalScience in China, Series G: Physics Astronomy
Volume49
Issue number6
DOIs
StatePublished - Dec 1 2006

Fingerprint

shear
vibration
circular shells
cylindrical shells
power series
electric potential
retaining
electric current
nonlinear equations
formulations

Keywords

  • Piezoelectricity
  • Shell

ASJC Scopus subject areas

  • General

Cite this

Nonlinear vibrations of electroelastic shells with relatively large shear deformations. / Yang, Jiashi; Yang, Xiaomeng; Turner, Joseph A.

In: Science in China, Series G: Physics Astronomy, Vol. 49, No. 6, 01.12.2006, p. 660-670.

Research output: Contribution to journalArticle

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