Static analysis of circular and elliptic plates resting on internal flexible supports by the Boundary Element Method

A static analysis of circular and elliptic Kirchhoff plates resting on internal elastic supports by the Boundary Element Method is presented in the paper. Elastic support has the character of Winkler-type elastic foundations. Bilateral and unilateral internal constraints are taken into consideration. The Betti’s theorem is used to derive the boundary domain integral equation. The direct version of the boundary element method is presented and simplified boundary conditions, including curvilinear boundary elements, are introduced. The collocation version of boundary element method with non-singular approach is presented.