Buckling of non-ideal simply supported laminated plate on Pasternak foundation

In the present paper, the Lindstedt–Poincare perturbation technique is used to study the effect of non-ideal boundary conditions on buckling load of laminated plates on elastic foundations. The plate is simply supported and it is assumed that one of the edges of the plate allows a small non-zero deflection and a small non-zero moment. The cross-ply rectangular plate is resting on Pasternak foundation. The results of finite element simulations, using ANSYS FE code are presented and compared with the analytical solution. After determination of the buckling load, the effect of various parameters like stiffness of the foundation and in-plane pre-loads on the buckling load is discussed. By changing the aspect ratio of the plate, the non-ideal boundary condition may increase or decrease the buckling loads. It is observed that by increasing the shear modulus of the foundation, the buckling load of the plate is increased.