ポテンシャルエネルギー最小の原理に基づき自由度を低減した骨組構造の解析

概要

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The present paper discusses an efficient approximation for numerical analysis of frame structures with a large number of degrees of freedom. The approximation is based on the concept of finite element applied to frame structures. Finite element method is applied to a domain, that can be called a fmite element, including many members of beams and columns, and the potential energy is calculated for the domain. The principle of minimum potential energy leads to a new element for frame structures. In this method the required degrees of freedom is much reduced to represent structural behaviors. The method is proved valid by the preciseness of the results not only for linear buckling analysis of orthogonal beam-girders but also for several linear analyses of multi-bay tall buildings in case of (1) static analysis, (2) linear buckling analysis, (3) eigen value analysis of natural frequencies and modes for vibration, and (4) time domain dynamic analysis of responses to earthquake motions.
一般社団法人日本建築学会の論文
1995-03-20