The theory of the Hamiltonian system is introduced into the theory of elasticity.

Based on the analogy of structural mechanics and optimal control,the control,the theory of Hamiltonian system can be introduced into elastic wave guide problems,dynamic partial hybrid element is deduced,a semianalytical FEM in Hamiltonian system can be founded.

The Hamiltonian system theory is introduced into elasticity problem of layered plates, therefore the eigenfunction expansion method based on horizontal Hamiltonian operator matrix are derived to solve this problem.

Thermal buckling problem of elastic circular plates in Hamiltonian system;

3D solutions for static/vibration of FGPM plate/pipe in Hamiltonian system;

Dynamic Buckling of Elastic Cylindrical Shells in Hamiltonian System;

Hamilton system and symplectic algorithm for space foundation

Based on Hu\'s equations of moderately thick rectangular plates,the free vibration problem for the plates were transferred into Hamilton system.

All the physical courses whose dissipative effects are negligible can be expressed as Hamiltonian systems which preserve energy conservation and symplectic geometric structure.

A Hamiltonian system is introduced in the problem.

We discuss the multisymplectic Preissman scheme which is mainly applied to solve multisymplectic Hamiltonian system in the paper.

M Order Continuous Finite Element Methods for Linear Hamilton Systems;

Topology of Isoenergy manifold of Natural Hamiltonian Systems and Existence of Global Poincaré Section;

By applying the continuous finite element methods for ordinary differential equations,the first,second and third order finite element methods for linear Hamiltonian systems are proved to be symplectic as well as energy conservative.

Hamiltonian systems have the two most important characteristics: conserved properties and preserve symplectic structures of flow.