The Symplectic Method for the Bending of Symmetrical Laminated Composite Plates with Clamped Boundary

The symplectic method is applied to study analytically the stress distributions of composite laminated plates in this paper applies. The dual equations were presented by variation principle and introducing separation of variables used. Then in the symplectic space which consists of the original variables and their dual variables, the problem can be solved via effective mathematical physics methods such as the method of separation of variables and Eigen function vector expansion. The equation and Eigen-vector are deduced. The results of cross-ply laminated graphite epoxy composite plate with clamped boundary are shown, which is compared with established results. The parameters' influences on mechanical property are also discussed.