THE ANALYTICAL SOLUTIONS OF PLATES BASED ON THE DEFLECTION SHAPE FUNCTIONS OF BEAMS

The analytical solutions of plates, based on deflection shape functions of beams in form of separation of variables are proposed. Several typical examples are given to validate the present method. The results from the present method agree with those obtained by FEM. This indicates the accuracy of the method, and its applicability in solving special-shaped plates. Instead of those of ordinary beams, the deflection shape functions of beams on elastic foundation are used in the method, which can simulate the more complex deformation of plates better. This research provides a simple and convenient tool for analysis of plate deformations.