平面问题混合状态Hamiltonian动力元

THE HAMILTONIAN ELEMENT FOR THE TRANSIENT ANALYSIS OF PLANE PROBLEM

摘要: 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。
- 正则方程 /
- 混合状态Hamiltonian元 /
- 动力学问题 /
- 半解析解
Abstract: 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.
- canonical equation /
- mixed state Hamiltonian element /
- transient analysis /
- semi-analytical solution