有限要素法による曲面張力場解析 : 剛性変化法と応力遷移法を用いた解析手法

概要

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Thin walled structure, pneumatic structure and suspensional membrane structure are the one of light weight structures. These structual materials which retains load-carrying capability with only tensile stress components. has a lot of potential application in space. For the stress field that characterizes mechanical behavior of these structures, there is the tension field. The tension field is uni-axial stress one. We already proposed of the numerical procedure on tension field analysis. The procedure follows formulation of the finite element techniques with variable stiffness. We made sure of availability and efficiency for our procedure through mathematical consideration and numerical results for the plane tension field. In this paper, we discuss about the method of curved tension field analysis based on the proposed procedure. At first, we examine geomentrical relations on the carved surface. We evalut on the stiffness through this relations. This procedure used to a stiffness method and a stress transfer method. As sample problems, we select a cylindrical sheet model. The method is applied to this model with several load conditions. Tension rays on the curved surface are shown definitely as our numerical results. Finally, the systematization for the procedure of the tension field analysis is shown using a diagram.
社団法人日本建築学会の論文
1987-06-30