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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.
【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.
【关键词】 正则方程;
混合状态Hamiltonian元;
动力学问题;
半解析解;
【Key words】 canonical equation; mixed state Hamiltonian element; transient analysis; semi-analytical solution;
【Key words】 canonical equation; mixed state Hamiltonian element; transient analysis; semi-analytical solution;
【基金】 国家自然科学基金
- 【文献出处】 工程力学 ,ENGINEERING MECHANICS , 编辑部邮箱 ,1994年04期
- 【分类号】O316
- 【被引频次】1
- 【下载频次】58