Elsevier

Journal of Sound and Vibration

Volume 66, Issue 4, 22 October 1979, Pages 565-576
Journal of Sound and Vibration

Free vibration of antisymmetric, angle-ply laminated plates including transverse shear deformation by the finite element method

https://doi.org/10.1016/0022-460X(79)90700-4Get rights and content

Abstract

A finite element formulation of the equations governing the laminated anisotropic plate theory of Yang, Norris and Stavsky, is presented. The theory is a generalization of Mindlin's theory for isotropic plates to laminated anisotropic plates and includes shear deformation and rotary inertia effects. Finite element solutions are presented for rectangular plates of antisymmetric angle-ply laminates whose material properties are typical of a highly anisotropic composite material. Two sets of material properties that are typical of high modulus fiber-reinforced composites are used to show the parametric effects of plate aspect ratio, length-to-thickness ratio, number of layers and lamination angle. The numerical results are compared with the closed form results of Bert and Chen. As a special case, numerical results are presented for thick isotropic plates, and are compared with those for 3-D linear elasticity theory and Mindlin's thick plate theory.

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