数値重み関数法による構造解析手法の開発 : 2次元弾性および平板構造解析の定式化

概要

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The weight function method was originally derived for two- and three-dimensional crack problems to calculate stress intensity factors for arbitrary loading conditions. In the present paper the weight function method has been generalized to the response analysis of structures basing upon the Maxwell-Betti's reciprocal theorem, where the weight function method is formulated and applied to two-dimensional elasticity and plate bending problems with illustrative examples. The method is very useful for the analysis of structures subjected to a variety of loading conditions, because once the weight function is calculated the responses such as displacements and stresses may simply be calculated by the integration of the inner product of the universal weight function and a load vector.
社団法人日本船舶海洋工学会の論文