Abstract

This study forms a generalization of the free vibration analysis of thin composite plates. It extends previous analyses and presents benchmark results for the effects of general lamination and geometric unsymmetry parameters on the natural frequencies of general trapezoidal plates. The Ritz extremum energy principle with kinematically oriented pb-2 shape functions, transformed into efficient numerical procedures, have been further exploited to obtained fast-converging and accurate results. Selected new transverse vibration mode shapes are presented to illustrate the effects of boundary constraints, aspect ratio, and fiber orientation.

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