A wrinkling model for pneumatic membranes and the complementarity computational framework

Zhang, Liang; Dong, Kaijun; Lü, Mengkai; Zhang, Hongwu

doi:10.1007/s00466-019-01755-7

Cited by 20 publications

(2 citation statements)

References 36 publications

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“…Figure 5 shows the uniform normal loading case. The tensile action distance is satisfied -a<x<a, and using the geometry for the distributed loading in Figure 6, dx=rdθ/sinθ, the differential loading on dx is given by: dT=Tdx=Trdθ/sinθ (9) Substituting Equation (9) into Equation ( 8), the radial stress at point p can be written as: 2…”

Section: Membrane Structure Under Uniform Normal Tensionmentioning

confidence: 99%

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Wrinkle Prediction of Membrane Structures under Uniform Normal Tensions

Liu,

Zhang,

Shi

et al. 2023

J. Phys.: Conf. Ser.

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Wrinkles always produce to counteract the compressive stress in the thin membrane structures, which has become a popular topic. In this paper, for the inhomogeneous membrane structure with depth-dependent Young’s modulus, a power-law index is introduced. The effect of inhomogeneity on the displacement and stress fields is analyzed. On this foundation, the membrane structures with uniform normal tension loadings are studied to be accorded with practical cases of engineering application. The stress fields are derived by the superposition of the concentrated tension solution based on the Airy stress superposition theory. Compressive stress generally leads to wrinkling, then the wrinkle regions under different tension conditions are predicted accurately. The proposed stress model is simple, and the computation complexity is reduced without using a finite element solution.

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Section: Membrane Structure Under Uniform Normal Tensionmentioning

confidence: 99%

“…To overcome the difficulty in the algorithm, Jarasjarungkiat et al [8] established a wrinkle model to accelerate convergence by introducing a penalty function. Zhang et al [9] proposed a linear complementarity framework through the corotational approach to stabilize the numerical oscillation.…”

Section: Introductionmentioning

confidence: 99%