Hamiltonian system for orthotropic plate bending based on analogy theory

摘要

Based on analogy between plane elasticity and plate bending as well as variational princi- ples of mixed energy, Hamiltonian system is further led to orthotropic plate bending problems in this pa- per. Thus many effective methods of mathematical physics such as separation of variables and eigen- function expansion can be employed in orthotropic plate bending problems as they are used in plane e- lasticity.