Vibrations of annular plates including the effects of rotatory inertia and transverse shear deformation

S. S. Rao, A. S. Prasad

Research output: Contribution to journalArticle

42 Scopus citations

Abstract

An investigation of the natural vibrations of isotropic annular plates of uniform thickness has been made by considering the effects of rotatory inertia and shear deformation. The frequency determinantal equations are derived in explicit form for nine sets of common boundary conditions. Numerical results for the frequency parameters of annular plates having various thickness ratios and inner to outer radii ratios have been obtained. The results are compared with those given by the classical plate theory wherever possible. Among the effects of transverse shear deformation and rotatory inertia, the effect of shear deformation has been found to be more prominent.

Original languageEnglish (US)
Pages (from-to)305-324
Number of pages20
JournalJournal of Sound and Vibration
Volume42
Issue number3
DOIs
StatePublished - Oct 8 1975
Externally publishedYes

ASJC Scopus subject areas

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

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