层合厚板混合状态Hamiltonian动力元及其半解析解

文中在时间方向采用Ｌａｐｌａｃｅ变换，给出了层合厚板动力学问题混合状态Ｈａｍｉｌｔｏｎ正则方程及其半解析法．该方法在层板平面内采用通常的有限元离散，而沿板厚方向采用状态控制方程给出解析解答．在层与层之间采用迁移矩阵法，给出层合板上下表面力学量之间的关系式．利用打靶法得到响应在象空间的一般解，然后再利用拉氏逆变换的数值解求出层合板的瞬时位移场和应力场．

A SEMI-ANALYTICAL SOLUTON FOR THE TRANSIENT ANALYSIS OF COMPOSITE THICK PLATES IN HAMILTON SYSTEM

The mired state Hamilton canonical equations and its semi-analytical solutions are presented for analyzing the transient response of composite plated. The method is of introducing the replace transformation in time direction. The exact solution in thick direction is derived by state space control method. Furthermore, for applying the transfer matrix method, the equations in the upper and lower surface is established, then the solution in transform space is deduced by spot method. By applying the inversion of Laplace transform, the transient displacements and stresses can be obtained.