Analysis of free damped vibration of laminated composite plates and shells

Abstract Equations are derived which describe the free damped vibrations of plates and shells made of laminated fiber-reinforced, organic-matrix composites. A finite element method is developed for obtaining solutions to these equations. A computer code is written, which can be used to calculate the natural frequencies, mode shapes, and damping factors of rectangular plates, cylinders, and cylindrical panels with free, clamped, or simply supported edges, and with or without circular cutouts. Natural frequencies and mode shapes calculated by the code for isotropic and composite plates, cylinders, and cylindrical panels are compared with previous analytical, numerical, and experimental results. The results of the present study agree closely with those reported by previous investigators.

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