THE CANONICAL HAMILTONIAN REPRESENTATION FOR ELASTIC RECTANGULAR PLATE

The canonical Hamiltonian equations forelastic rectangular thick or thin plate, also including plate on the elasticfoundation, are derived. In the deriving procedures, only thebasic equations of rectangular plate are used. From the CanonicalHamiltonian equations of elastic rectangular thick or thin plate,the analytical solutions with arbitrary boundary conditions could beobtained by the method of symplectic geometry.