Abstract: The mixed state Hamilton canonical equation and a semi-analytical soultion are presented for analyzing the laminated composite plates.The method accounts for the separation of variables,the discrete element is employed in the plane of lamina,and the exact solution in thick direction is derived by state space approach.Furthermore, for applying the transfer matrix method,the continuity of interlaminar stresses and displacements is satisfied, the relational ex-pression at the top and bottom plate surfaces is established,and then the spot method is employed,The present results are compared with those obtained using the classical theory and high-er-order theory.

Key words: laminates. Hamiltonian functions, semi-analytical solution