弾性床上はりの大たわみ問題の境界積分方程式法による解析

概要

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In this paper a method is proposed for calculating the large deflection of beams on elastic foundation by the boundary integral equation method. The elastic foundation is assumed to be of the Winkler type. In the analysis we transform the governing equation into a more convenient from in such a way that we can apply the iterative scheme to the present problems. A fundamental solution needed in the formulation is the deflection of a beam on elastic foundation that is subjected to constant tensile axial force and transverse unit load at its mid-span. Therefore, we derive the fundamental solution by solving the singular differential equation. Some numerical results based on the formulation are given for various types of boundary conditions. Moreover, to show the availability of the proposed method, large deflection problems of beams on the Winkler foundation that has a partly different modulus of the foundation are computed.
一般社団法人日本機械学会の論文
1987-03-25