Theoretical Analysis of Actual Initial Equilibrium State for Membrane Structures Based on Cutting Patterns

Tsubota, Haruji; Yoshida, Arata; Kurokawa, Yasutsugu

doi:10.3130/aijsx.373.0_101

Cited by 3 publications

(5 citation statements)

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“…Three types of surfaces are found by solving problems (10), (12) and (13), respectively, from the initial shape in Fig. 9(a).…”

Section: Simple Modelmentioning

confidence: 99%

“…C , 6 C are chosen as variables in problems (10) and (13) By allowing variation of locations of the supports except for the four corners, it is easy to reduce the norm of mean curvature, while satisfying the continuity conditions. The curved surface is composed of four Bézier surfaces (dashed line part in Fig.…”

Section: Connected Modelmentioning

confidence: 99%

“…14(a) G continuity is assigned along the internal boundaries DE and DF, while 1 G continuity is assigned along lines BE and EH. The target curved surfaces obtained by solving problems (10), (12) and (13) are shown in Fig. 15 Since the boundary frame including the internal boundary EDF in Fig.…”

Section: Connected Modelmentioning

confidence: 99%

“…Therefore, it is important to present a simple method for obtaining a cutting pattern [12] 200 that can lead to an equilibrium shape close to the target shape with uniform tension state. Tsubota et al [13] proposed a method for adjusting the boundary shape of cutting patterns so that equilibrium shape generated by connecting the membrane sheets to the specified boundary has uniform tension state. 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.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Three types of surfaces are found by solving problems (10), (12) and (13), respectively, from the initial shape in Fig. 9(a).…”

Section: Simple Modelmentioning

confidence: 99%

Section: Connected Modelmentioning

confidence: 99%

Section: Connected Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…Due to the nonlinear and viscoelastic properties of membrane materials, the shrinkage compensation should be considered in the pattern cutting design, as shown in Figure 3. Obviously, the shrinkage ratio is related with the membrane stress state and the improper value will affect the forming of membrane structures [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Research on the Stress-Relaxation Behaviors of PTFE Coated Fabrics under Different Temperatures

Zhang

et al. 2015

Advances in Materials Science and Engineering

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As polymer composites, the stress-relaxation behaviors of membrane materials have significant effects on the pattern cutting design, the construction process analysis, and the stiffness degradation of membrane structures in the life cycle. In this paper, PTFE coated fabric is taken as the research object. First, the stress-relaxation behaviors under different temperatures (23°C, 40°C, 50°C, 60°C, and 70°C) are studied, and the variations of main mechanical parameters are got. Then, a simple review of several current viscoelastic models is presented. Finally, several common models for the material viscoelasticity are used to compare with the test results. Results show PTFE coated fabric is typically viscoelastic. The stress relaxation is obvious in the initial phase and it decreases with time increasing. The stress decreases significantly and then tends to a stable value. With temperature increasing, the decrease rate of membrane stress decreases and the final stable value increases. This material performs obvious hardening with temperature increasing. Most of the current models can make good prediction on the stress-relaxation behaviors of PTFE coated fabrics under different temperatures. The results can be references for the determination of pattern shrinkage ratio and construction process analysis of membrane structures.

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Form Finding, Analysis and Computer Aided Design of Tension Structures

Baranger¹

Computational Science, Engineering &Amp; Technology Series

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Theoretical Analysis of Actual Initial Equilibrium State for Membrane Structures Based on Cutting Patterns

Cited by 3 publications

References 0 publications

Shape Design of Curved Surface of Membrane Structure Using Developable Surface

Shape Design of Curved Surface of Membrane Structure Using Developable Surface

Experimental and Theoretical Research on the Stress-Relaxation Behaviors of PTFE Coated Fabrics under Different Temperatures

Form Finding, Analysis and Computer Aided Design of Tension Structures

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