Three-dimensional free vibrations of thick skewed cantilevered plates

O. G. McGee, A. W. Leissa

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


The natural frequencies of skewed cantilevered thick plates are determined by using the Ritz method. The present work is the first known three-dimensional study of the problem. Assumed displacement functions are in the form of algebraic polynomials which satisfy the fixed face conditions exactly, and which are mathematically complete. Accurate natural frequencies are calculated for skewed thick plates having arbitrary degrees of skewness. Detailed numerical studies reveal interesting trends concerning the variation of frequencies with increasing skew angle. Results obtained by using the present method are compared with those obtained by using three-dimensional finite elements.

Original languageEnglish
Pages (from-to)305-322
Number of pages18
JournalJournal of Sound and Vibration
Issue number2
StatePublished - Jan 22 1991


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