On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped

摘要

A novel symplectic geometry method is presented for exact bending solutions of orthotropic rectangular thin plates with two opposite sides clamped. In the proposed mathematical method, it starts with the basic governing equations for the bending of orthotropic plates, and there are no predetermined functions, which overcome the deficiency of conventional semi-inverse methods; therefore, the straightforward implementation procedure serves as a completely rational model in plate bending analysis. The proposed method can be extended to more problems of plates such as buckling and vibration. Tabulated accurate results are included in this paper, which are expected to be valuable for future comparison.