平面问题混合状态Hamiltonian动力元

THE HAMILTONIAN ELEMENT FOR THE TRANSIENT ANALYSIS OF PLANE PROBLEM

本文提出一种对动力学问题的Ｈａｍｉｌｔｏｎ正则方程进行正则变换的方法，并给出一种沿时间方向迭代，沿空间方向半离散半解析求解动力问题Ｈａｍｉｌｔｏｎ正则方程的方法──混合状态Ｈａｍｉｌｔｏｎｉａｎ动力元．

A canonical transformation for the transient analysis of plane problem in Hamilton system is proposed, and a powerful semi-analytical solution, which is termed the mixed state transient Hamiltonian element, is also presented. this method accounts for the separation of variables, the finite element discrete is employed in the x direction, and the exact solution in y direction is derived by the state space control method. The computational results indicate that it has high accurcy.