荷重の変動を考慮する構造物の形状決定問題 : 変動の確率密度関数が既知の場合

概要

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In optimal structural design, a shape of a structure is determined so that it can utilize the materials uniformly for the given (deterministic) loading conditions. However, actual loads are not determinate, but often vary from the given condition. In this situation, variable loads may cause higher stresses or yield large differences in the stress distribution from point to point for the structure which was designed optimally for a particular load. In this paper, a shape determination method of structures considering variation of the load, such as variation in the position of the applying point, the direction and the magnitude of load, is proposed by extending the Inverse Variational Shape Determination Procedure, which was formulated for the deterministic case. In the present procedure, such a shape as makes the expected value of the potential energy stationary is searched for. Besides, and effective scheme is proposed to obtain the displacements as random variables.
一般社団法人日本機械学会の論文
1986-06-25