Hamiltonian system for orthotropic plate bending based on analogy theory

Based on analogy between plane elasticity and plate bending as well as vari ational principles of mixed energy, Hamiltonian system is further led to or thotropic plate bending problems in this paper. Thus many effective methods of mathematical physics such as separation of variables and eigenfunction expansion can be employed in orthotropic plate bending problems as they are used in plane elasticity. Analytical solutions of rectangular plate are pr esented directly, which expands the range of analytical solutions. There is an essential distinction between this method and traditional semi-inverse method. Numerical results of orthotropic plate with two lateral sides fixed are included to demonstrate the effectiveness and accuracy of this method.