一般逆行列に基づく応カ法による立体トラスの有限変位応カ解析

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In analyses of solid structures, the displacement method and stress method are used. Because its analytical procedure is simple, the displacement method is used more widely at present. On the other hand, the stress method has attractive potential with regard to material nonlinear problems. The stress method has not been used widely in recent years, however, mainly because it requires remodeling a statically indeterminate structure to a statically determinate principal system, which complicates the analytical procedure. Therefore the proposal of a stress method having a simple analytical procedure is important as a matrix structural analysis technique. This study proposes a finite displacement analysis using a stress method of pin jointed space truss based on the Moore-Penrose generalized inverse . The following findings were obtained as a result of this study 1. The theory of this stress method is simple and easy to understand by interpretation in structural mechanics of a general solution for a system of linear equations based on the Moore-Penrose generalized inverse matrix. 2. It is not necessary to remodel a statically indeterminate structure to a statically determinate principal system. 3. When the matrix that shows the compatibility condition is a singular matrix, incremental axial forces cannot be uniquely obtained. Therefore analysis of an instability phenomenon of pin-jointed space truss becomes straightforward.
一般社団法人日本建築学会の論文
2008-03-25

一般逆行列に基づく応カ法による立体トラスの有限変位応カ解析

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