Smooth cutting pattern generation technique for membrane structures using geodesic line on subplane and spline interpolation

Shon, Sudeok; Lee, Seungjae; Lee, Kang-guk

doi:10.1007/s11771-013-1836-9

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…Ohsaki et al [14,15] formulated an inverse problem for shape design of cutting patterns, and proposed an optimization method for generating cutting patterns so that the stresses at equilibrium of membrane discretized into triangular finite elements are close to the specified target values. Shon et al [16] proposed a method for adjusting smooth spline approximation of the geodesic lines on the subplane and generated smooth cutting patterns. Moncrieff and Topping [17] proposed a method of generating a cutting pattern using the geometrical unfolding method and least squares minimizing procedure based on the dynamic relaxation method and the force density method.…”

Section: Introductionmentioning

confidence: 99%

Shape Design of Curved Surface of Membrane Structure Using Developable Surface

Cui¹,

Ohsaki²

2018

Journal of the International Association for Shell and Spatial

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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 selfequilibrium shape and its stress distribution are investigated for surfaces generated from the three kinds of target curved surfaces.

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