BENDING ANALYSIS OF RECTANGULAR PLATE ON NON-UNIFORM ELASTIC FOUNDATIONS

Abstract

In this paper, an approximate method for analyzing the bending problems of rectangular Mindlin plates on elastic foundations is proposed. The solutions of the partial differential equations of the bending are obtained in the discrete form, by translating the differential equations into integral equations and applying numerical integration. In order to confirm the convergency and accuracy of numerical solutions, comparisons with numerical solutions obtained by other investigators are made. As the application, the bending behavior of rectangular plate on nonlinear elastic foundations and on non-uniform elastic foundations are calculated.