The problem on bending of rectangular plates on elastic foundations has been studied by many investigators. However, it has been hardly carried out to study bending of rectangular plates on non-uniformly elastic foundations. In this paper, the semi-analytical method is developed to study bending problems of rectangular plates with variable thickness on nonlinear elastic foundations, and of rectangular plates on nonuniformly elastic foundations. The semi-analytical solutions are obtained by converting the differential equations into the integral equations and applying the numerical integration. Comparisons with numerical resuls obtained by other investigators are made, and it is confirmed that the semi-analytical solutions are accurate enough for practical usage.
展开▼
