SHAPE DESIGN OF CURVED SURFACE OF MEMBRANE STRUCTURE USING DEVELOPABLE SURFACE

摘要

A method is presented for design of curved surface of frame supported membrane structures. Since a uniform stress state is desired, the minimal surface is often chosen as an ideal target curved surface. Another ideal shape is a developable surface that can be generated from a plane sheet. Therefore, in this paper, the minimal surface, the developable surface, and an intermediate surface between them are chosen as the target curved surface. The cutting patterns are generated by reducing the uniform stress from the plane sheet obtained from the curved surface, where correction coefficients are incorporated. In the numerical examples, the properties of self-equilibrium shape and its stress distribution are investigated for surfaces generated from the three kinds of target curved surfaces.