Large Deflection Analysis of Beams on Two-Parameter Elastic Foundation Using the Boundary Integral Equation Method

Abstract

A method is proposed for calculating the large deflection of beams on an elastic foundation using the boundary integral equation method. The elastic foundation is assumed to be of the Pasternak type. In the analysis, the governing equation is transformed into a more convenient form such that the iterative scheme can easily be applied to large deflection problems. A fundamental solution required in the formulation is derived by solving the singular differential equation. It is found that the numerical results obtained by the present method agree well with the analytical solutions. To show the usefulness of the method, several numerical results based on the formulation are given for various types of boundary conditions.