Sumplectic Superposition Solutions Of Bending Problem Of Fully Clamped Orthotropic Rectangular Thin Plates

The paper transformed the orthotropic rectangular thin plates equation into the Hamiltonian system,the corresponding infinite dimensional Hamiltonian operator is ob-tained by the method of separation of variables.Then the eigenvalues and corresponding eigenfunctions of the Hamiltoian operator are calculated,respectively.Furthermore,it,is proved the eigenfunctions system is symplectic orthogonal and complete.Then using the symplectic-superposition method,the analytical solutions of fully clamped orthotrop-ic rectangular thin plates bending problem are presented.Finally,the validation of the obtained analytical solutions is proved.