Vibration of Symmetrically Laminated Thick Super Elliptical Plates

Author： Chen C.C. Lim C.W. Kitipornchai S. Liew K.M.

ISSN： 0022-460X

Source： Journal of Sound and Vibration, Vol.220, Iss.4, 1999-03, pp. : 659-682

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Abstract

This paper reports a free vibration analysis of thick plates with rounded corners subject to a free, simply-supported or clamped boundary condition. The plate perimeter is defined by a super elliptic function with a power defining the shape ranging from an ellipse to a rectangle. To incorporate transverse shear deformation, the Reddy third-order theory is employed. The energy integrals incorporating shear deformation and rotary inertia are formulated and the p -Ritz procedures are used to derive the governing eigenvalue equation. Numerical examples for plates with different shapes and boundary conditions are solved and their frequency parameters, where possible, are compared with known results. Parametric studies are carried out to show the sensitivities of frequency parameters by varying the geometry, fibre stacking sequence, and boundary condition.