Large amplitude vibration of an initially stressed moderately thick plate

L. W. Chen, J. L. Doong

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

Non-linear equations of motion for a transversely isotropic moderately thick plate in a general state of non-uniform initial stress where the effects of transverse shear and rotary inertia are included are derived. The large amplitude flexural vibration of a simply supported rectangular moderately thick plate subjected to initial stress is investigated. The initial stress is taken to be a combination of a pure bending stress plus an extensional stress in the plane of the plate. These equations are used to solve the vibrations problem by the Galerkin method. The effects of various parameters on the non-linear vibration frequencies are studied.

Original languageEnglish
Pages (from-to)499-508
Number of pages10
JournalJournal of Sound and Vibration
Volume89
Issue number4
DOIs
Publication statusPublished - 1983 Aug 22

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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