Abstract
The dynamic instability of laminated composite plates supported on elastic foundations, subjected to periodic in-plane loads, is investigated using C 1 eight-noded shear-flexible plate element. The element is based on a new kind of kinematics which allows one to exactly ensure the continuity conditions for displacements and stresses at the interfaces between the layers of the laminate, and also the boundary conditions at the top and bottom surfaces of the laminate. The present model accounts for in-plane and rotary inertia effects. The boundaries of the principal instability region obtained here are conveniently represented in the non-dimensional excitation frequency—non-dimensional load amplitude plane. The influences of various parameters such as orthotropicity, ply-angle, static load factor, thickness and aspect ratios, and elastic foundation stiffness on dynamic stability are brought out.
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