Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach

The exact solutions of fully clamped rectangular thin plates subjected to arbitrary loads are derived by the symplectic geometry method. Since only the basic elasticity equations of thin plates are used, this method eliminates the need to select the deformation function arbitrarily and is hence more accurate than conventional methods. Numerical results were presented to demonstrate the validity and accuracy of this approach as compared to those reported in other literatures.