Analytic bending solutions of rectangular cantilever thin plates

Analytic bending solutions of rectangular cantilever thin plates subjected to arbitrary loads are derived using the double finite integral transform method. Since only the basic governing equations of the plates are used and there are no predetermined functions, the present method overcomes the deficiency of the conventional semi-inverse methods thus serves as a completely rational model in solving plate bending problems. The method can be extended to more boundary value problems of plates such as buckling and vibration.