混合法によるケーブルネットの解析その 1 : 不安定架構の性質およびリンク機構の解析

概要

論文の詳細を見る
The cable nets for suspension roofs primarily belong to instable structure subject to deformation as link mechanisms. The object of this paper is to present the method of analysis of cable nets which enables the unified and efficient solution of both the shape determination and the static responce analysis against external loads. The first half of this part discusses, within the framework of the linear theory, the criteria of classification of stable and instable; determinate and indeterminate frameworks, and also clarifies the possible modes of link mechanism movement and modes of external loads which can be equilibrated by prescribed shape of instable frames. The latter half of this part is devoted to the shape analysis of link mechanisms. The potential energy function of a link mechanism is formulated with subsidiary condition of constant member length, where elongation-displacement relation takes rigorous expression in the sense of finite displacement. From the stationary conditions of this function, the nonlinear simultaneous equations are derived for the shape determination of link mechanisms under prescribed nodal loads. These equations are represesented in the form of mixed formulation with unknowns of nodal displacements and Lagrange multipliers that correspond to the axial forces of the link members. The equations are solved by means of Newton-Raphson method. Finally, this method of shape determination is illustrated by a simple example of suspended single link subjected to dead load and good convergency of iteration is shown.
社団法人日本建築学会の論文
1974-04-30

混合法によるケーブルネットの解析その 1 : 不安定架構の性質およびリンク機構の解析

スポンサーリンク

概要

著者

関連論文

スポンサーリンク