Abstract: In generic coordinates, firstly, by the basic equations and the theory of symplectic variable, an augmented dimension constitutive relationship was obtained by combining the heat exchange equations into the constitutive equations of piezoelectric materials. Utilizing the state space method and the augmented dimension constitutive relationships, the homogeneous state equation which can be solely solved is educed by eliminating the stress in the shell surface. The homogeneous state equation can simplify greatly the solution procedure of the laminated generic shell, improve numerical precision, and be straightly discreted in finite element format, as well as presents a new method for the semi-analytical solution of laminated structures with complicated boundary condition in practice.