According to the stress and displacement variational principle, aim at the combined plate, the mixed variational equations are established from which the state equation is established. Thus ,the theory of state space is combined with variational principle and the variational solutions are presented under arbitrary loads for transverse isotropic,orthortropic bodies on general boundary conditions. The variational solutions are presented for the thku,moderately thick and thick laminates with four simple supported edges,clamped edges on two opposite sides and simple supported between plies of the laminates. The plates reaction, all the displacement and stress components can be obtained. Numerical results are compared with exact solutions and those calculated by using SAP5 or SAP84. |