Vibration of symmetrically laminated cantilever trapezoidal composite plates

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Original languageEnglish
Pages (from-to)299-308
Journal / PublicationInternational Journal of Mechanical Sciences
Issue number4
Publication statusPublished - Apr 1992
Externally publishedYes


The paper presents a general numerical method for vibration analysis of symmetrically laminated cantilever thin trapezoidal composite plates. The Rayleigh-Ritz method, along with displacements assumed in the form of 2-D orthogonal polynomials, is used to solve the problems. These 2-D orthogonal polynomials are generated using a proposed recurrence formula. Several numerical examples are presented to demonstrate the accuracy, efficiency and versatility of the method. Natural frequencies and mode shapes for the trapezoidal plates are obtained for different numbers of layers, fibre orientations, a b and c a ratios. These results, to the author's knowledge, are first known in the open literature. Thus the present study may provide very useful information to the engineers who work in this area. © 1992.