对时间方向引进正则变换函数，给出了层合板动力学的Ｈａｍｉｌｔｏｎ正则方程及其半解析法。通过分离变量，就可以在板平面内采用通常的有限元离散，而在板厚方向采用状态空间法给出解析解，且通过传递矩阵，保证了层间位移和应力的连续，建立了层合板上下表面相变量的关系式，利用打靶法进行求解。数值算例表明：本文方法未知量少，精度高。 Introducing the regular transformation function to the time direction, the Hamilton regular equation of the laminated plate dynamics and its semi-analytical method are given. Through the separation of variables, the usual finite element discretization can be used in the plane of the plate, while the analytic solution is given by using the state space method in the plate thickness direction. By transferring the matrix, the displacement and stress continuity between the layers are ensured, The upper and lower surface of the relationship between the amount of phase change, the use of shooting method to solve. Numerical examples show that the proposed method is less sensitive and accurate.