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

Singiresu S Rao, A. S. Prasad

Research output: Contribution to journalArticle

41 Citations (Scopus)

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

Fingerprint

annular plates
inertia
Shear deformation
shear
vibration
plate theory
thickness ratio
Boundary conditions
boundary conditions
radii

ASJC Scopus subject areas

  • Engineering(all)
  • Mechanical Engineering

Cite this

Vibrations of annular plates including the effects of rotatory inertia and transverse shear deformation. / Rao, Singiresu S; Prasad, A. S.

In: Journal of Sound and Vibration, Vol. 42, No. 3, 08.10.1975, p. 305-324.

Research output: Contribution to journalArticle

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