Analysis of fabric tension structures

Fujikake, Masahisa; Kojima, Osamu; Fukushima, Satoshi

doi:10.1016/0045-7949(89)90345-3

Cited by 29 publications

(3 citation statements)

References 3 publications

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“…Fabric was tensioned through with the cable to a rigid supporting system to typically and to provide a roofing structure. [2] have mentioned that the characteristic of TFS can be used to maintain the stability of structure through the use of pre-stress. The fabric structure has been use by sort of fabric and with a cable.…”

Section: Fig 1 Basic Components Of a Tensioned Fabric Structurementioning

confidence: 99%

Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Yee

Hamid

Hadi

2015

AMM

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Form-finding of tensioned fabric structure in the form of Enneper minimal surface has been investigated. Computational form-finding is frequently used to investigate the possible forms of uniformly stressed surfaces. In this study, two parameter of Enneper minimal surface was used in this study are u and v = 0.4 and 1.2. This study provides an alternative choice for engineer to consider the Enneper minimal surface, u = v = 0.4 and 1.2 to be applied in tensioned fabric structure.

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Section: Fig 1 Basic Components Of a Tensioned Fabric Structurementioning

confidence: 99%

Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Yee

Hamid

Hadi

2015

AMM

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“…The modified matrix was incorporated into a few commercial finite element method codes [18] and has been used for the design of space membrane structures [9,10]. Some approaches similar to that of Miller are presented in [19][20][21][22]. Ding et al [23,24] developed a numerical analysis method that copes with a variable Poisson's ratio [25,26] by using an optimization technique.…”

Section: Modeling Of Wrinkled Membranes Based On the Tf Theorymentioning

confidence: 99%

“…(43) and referring to Eqs. (21), (26), and (28), the strain energy density can be decomposed into the following two parts:…”

Section: Wrinkle Intensity At a Materials Pointmentioning

confidence: 99%

Sensitivity Analysis Method for Membrane Wrinkling Based on the Tension-Field Theory

Akita

Natori

2008

AIAA Journal

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This paper presents a new method for the sensitivity analysis of membrane wrinkling based on the tension-field theory. This method can be applied to design membrane structures to reduce the occurrence of wrinkles. In this method, the wrinkle intensity in a partly wrinkled membrane is evaluated from an apparent strain energy resulting from the deformation through wrinkling. This wrinkle intensity is used as an objective function for wrinklereduction membrane design. Further, the sensitivity of the wrinkle intensity with respect to an arbitrary design parameter is derived by employing a semi-analytical differentiation technique and is used to resolve the minimization problem of the objective function. Some design examples show that this minimization problem can be effectively resolved by the proposed sensitivity analysis method and the occurrence of membrane wrinkles can be considerably reduced by minimizing the wrinkle intensity. Nomenclature a c = small constant value for the incremental line search B k L = strain-displacement relation matrix of the kth element b= design parameter vector b j = jth design parameter C = elasticity matrix for the membrane C m = modified elasticity matrix for the wrinkled membrane E = Young's modulus K = tangent stiffness matrix in the equilibrium state n 1 , n 2 = vectors for coordinate transformation of stress P, Q = projection matrices q = internal force vector in the equilibrium state r = penalty coefficient for the area constraint S = membrane area S 0 = initial membrane area s = step variable for the incremental line search s 1 , s 2 = vectors for coordinate transformation of the strain U s = penalty function for the area constraint U w = total wrinkle intensity over the entire membrane U k w = wrinkle intensity over the kth membrane element w k = weight coefficient for U k w = minute perturbation for numerical differentiation = minimum value of the ratio of the required membrane area to S 0 b j = numerical perturbation of b j U w = numerical perturbation of U w " = strain vector in the plane stress state " e = elastic strain vector " w = wrinkle-mode deformation vector " x , " y , xy = strain components in the x-y coordinate system " 1 , " 2 = major and minor principal strains, respectively " 2w = nonzero scalar value contained in " w = rotation angle of principal axes of stress and strain tensors to the x-y axes = Poisson's ratio = stress vector in the plane stress state t = uniaxial tensile stress vector in the wrinkled membrane x , y , xy = stress components in the x-y coordinate system 1 , 2 = major and minor principal stresses, respectively e = strain energy density in a wrinkled membrane p = strain energy density in a taut membrane w = wrinkle intensity at a material point ' = augmented objective function for shape optimization

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Simulation of light‐weight membrane structures by wrinkling model

Rossi

Lazzari

Vitaliani

et al. 2005

Numerical Meth Engineering

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The computational challenge in dealing with membrane systems is closely connected to the lack of bending stiffness that constitutes the main feature of this category of structures. This manifests numerically in badly conditioned or singular systems requiring the use of stabilized solution procedures, in our case of a 'pseudo-dynamic' approach. The absence of the flexural stiffness makes the membrane very prone to local instabilities which manifest physically in the formation of little 'waves' in 'compressed' areas. Current work presents an efficient. sub-iteration free 'explicit', penalty material based. wrinkling simulation procedure suitable for the solution of 'static' problems. The procedure is stabilized by taking full advantage of the pseudo-dynamic Solution strategy, which allows to retain the elemental quadratic convergence properties inside the single Solution step. Results are validated by comparison with published results and by setting up 'numerical experiments' based on the solution of test cases using dense ineshes

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Analysis of fabric tension structures

Cited by 29 publications

References 3 publications

Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Computer Investigation of Tensioned Fabric Structure in the Form of Enneper Minimal Surface

Sensitivity Analysis Method for Membrane Wrinkling Based on the Tension-Field Theory

Simulation of light‐weight membrane structures by wrinkling model

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