THE HAMILTONIAN ELEMENT FOR THE TRANSIENT ANALYSIS OF PLANE PROBLEM

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.