座標値を未知量とした有限要素技術による張力構造解析の一方法

概要

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In this paper, a finite element technique, of which an unknown quantity is the coordinate value on a deformed body, is applied to analysis of tension structure with geometrical nonlinearity. This procedure belongs to the displacement method though an unknown quantity is not set as the displacement. In this discretization formulation, a cable element and a membrane element are described. The three dimensional coordinate value of the tension structure on the deformed body is obtained directly by this formulation and all the mechanical behavior is grasped. There is a feature which does not need coordinate transformation at all in this formulation when the whole system equation is constructed with element system equations. In the example of the analysis, concerning the tension structure, the numerical result which satisfies the cutting pattern on membrane material and the most suitable equilibrium configuration of the deformed body at the same time is shown. The dynamic response analysis is executed by using the cutting pattern before and after optimization analysis, and the obtained time history responses are compared. Effectiveness and validity of this technique become clear from our formulation and numerical analysis examples.
社団法人日本建築学会の論文
2006-04-30