Three dimensional vibration analysis of rectangular plates with undamaged and damaged boundaries by the spectral collocation method

Ma'en S. Sari, Eric A. Butcher

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The three-dimensional free vibration analysis of isotropic rectangular elastic plates with standard undamaged or damaged boundaries is studied using the Chebyshev spectral collocation method. It was assumed that the plates had two free lateral surfaces and two opposite simply supported surfaces, while the other surfaces could be clamped, simply supported, free, or damaged clamped boundaries. In the present study the boundary conditions are coupled with the governing equation to obtain the equivalent algebraic eigenvalue problem in terms of the Chebyshev collocation grid. The results obtained indicate the behavior of the natural vibration frequencies with respect to the severity of the damaged boundary. This analysis can possibly lead to an efficient technique for damage detection of structures in which joint or boundary damage plays a significant role in the dynamic characteristics.

Original languageEnglish (US)
Pages (from-to)3-9
Number of pages7
JournalInternational Journal of Acoustics and Vibrations
Volume19
Issue number1
DOIs
StatePublished - Mar 2014

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanical Engineering

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