Free vibration of a paraboloidal shell of revolution including shear deformation and rotary inertia

Omar J. Al-Khatib, George R. Buchanan

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)

Abstract

The governing strain-displacement and curvature-displacement equations for paraboloidal shells including shear deformation and rotary inertia are solved for free vibration of closed shells. The finite element method is used to obtain three-dimensional frequency of vibration solutions for a variety of boundary conditions, free, fixed and simply supported. Assumptions concerning the circumferential vibrational behavior are incorporated that reduce the analysis to a single coordinate and the element shape function is formulated using the meridional coordinate. The results for frequency of vibration compare favorably with the available literature. Selected results for frequency of vibration are presented in tabular form for several shell parameters, including free, pinned and fixed boundary conditions. Representative mode shapes are plotted for a fixed boundary condition.

Original languageEnglish
Pages (from-to)223-232
Number of pages10
JournalThin-Walled Structures
Volume48
Issue number3
DOIs
Publication statusPublished - Mar 2010
Externally publishedYes

Keywords

  • Finite element
  • Paraboloidal shell
  • Rotary inertia
  • Shear deformation
  • Vibration

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanical Engineering

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