ホモロガス変形を制約条件とする立体トラス構造の形態解析

概要

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This paper deals with a structural shape analysis with the constraint conditions of homologous deformation. The homologous deformation is defined as "the deformation of a structure shall be called homologous if a given geometric relation holds, for a given number of structural points, before, during and after the deformation". In the first part of the paper, all nodal points are divided into three categories : nodal points representing the homologous deformation (degrees of freedom = k), the shape change (degrees of freedom = f) and the fixed boundary, respectively. Then, the basic equations with the n×m coefficient matrix are introduced for any truss structures, giving a homologous parameter, where n = h + f and m = 1 + f, in the second part, the existence condition of solution for the derived basic equations is given by the use of the generalized inverse. This condition is a set of nonlinear equations with unknowns of nodal coordinates, and is numerically analyzed by Newton-Raphson method in order to find out the final shape. In the final part, an illustrative example is numerically analyzed in order to examine the validity of the present method.
社団法人日本建築学会の論文
1989-11-30