混合法によるケーブルネットの解析 : その (2) 幾何学的非線形問題の厳密解

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This part of the paper presents the method of rigorous solution of various kinds of geometrically nonlinear problem of cable nets. The potential energy function for link mechanisms derived in part I is easily enlarged to the case of cable nets by the introduction of the strain energy term. The potential energy functions for the problems of cable nets are written in the form corresponding to Hellinger-Reissner principle in the continuum mechanics and lead to the basic equations in the form of mixed formulation where strain-displacement relation in the rigorous form is taken. The basic equations are derived for the following problems of the cable nets; 1) analysis of static responce against external loads in the case of clamped node cables where the cable intersections are clamped 2) analysis of static responce of the clamped node cables under the initial axial forces corresponding to prestress, 3) shape determination of the clamped node cables when pretension is applied from turnbuckles inserted in the arbitrary position of the networks, and 4) shape determination for the case where nodes are loose, intersecting cables being able to slip against each other, and the arbitrary cables are tensioned. Application of Newton-Raphson method to the basic nonlinear equations is described, and it is shown that the analysis in the form of the displacement method is possible in the respective stages of the iteration by the elimination of correction increment of the axial forces. Finally, the method of analysis is illustrated by the examples of shape determination and responce analysis against the external loads of actual cable nets for hanging roofs.
社団法人日本建築学会の論文
1974-06-30

混合法によるケーブルネットの解析 : その (2) 幾何学的非線形問題の厳密解

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