面内捩りを受ける円形張力膜のしわ : 有限要素法による分岐解析と実験の比較

概要

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In this paper finite element analyses of wrinkling on membranes are carried out, and the results are compared with the results of our experiments. An illustrative example is stretched circular membrane under inplane torsion, which is a classical problem in the study of wrinkling. Wrinkling is considered as a bifurcation phenomenon. It is analyzed by using four-node membrane finite elements considering geometrical nonlineality. Both isotropic and orthotropic membranes are treated. Membranes are assumed to be elastic. Formulation of the element, a method of introducing initial stresses and a method of bifurcation analysis are shown. First computations for several kinds of shear modulus are carried out and shapes of wrinkles and stress fields are compared. Second computations corresponding to the experiments are carried out. Principal stresses in wrinkling fields and shapes of wrinkles obtained by the analyses and the experiments show good agreement. However, details of the shapes are a little different, since in the analyses the fineness of a finite element mesh is not sufficient.
社団法人日本建築学会の論文
1997-04-30