Abstract
As research on the applications of high-precision membrane structures develops, wrinkling has become a popular topic. Here, we present a new wrinkle-wave model to describe wrinkles more accurately. First, the characteristics of wrinkle-waves that result from radial tension stress applied at the vertex of a triangular structure were analyzed. However, for polygonal structures under more than two tensions, the influence of the other vertexes should also be considered. Therefore, by introducing a load ratio, we constructed a wrinkle-wave model of a square membrane structure subjected to corner forces. This model is applicable to various loading cases and polygonal membrane structures. Comparison among the results of the finite element analysis, and the experimental and analytical results showed that the proposed model more accurately described the wrinkling details and solved the problem of convergence that is encountered during finite element analysis.
Highlights
Thin membranes that stretch under tension are widely used as lightweight structures in the aerospace industry.[1]
Thin membranes have negligible bending stiffness, which results in wrinkles when they are subjected to a compressive load.[2]
The first study on wrinkling was performed by Wagner in 1929 and this was complemented by Reissner in 1938.3 Their research led to the development of the tension field theory, parameters were introduced to modify the constitutive relation on the membrane
Summary
Thin membranes that stretch under tension are widely used as lightweight structures in the aerospace industry.[1]. The first study on wrinkling was performed by Wagner in 1929 and this was complemented by Reissner in 1938.3 Their research led to the development of the tension field theory, parameters were introduced to modify the constitutive relation on the membrane. On the basis of these works, Ding and Yang proposed a new membrane model with viable Young’s modulus and Poisson’s ratio,[6] which was later studied by Rossi et al.[7] and Jarasjarungkiat et al.[8] tension field theory can describe certain characteristics of wrinkling, it cannot predict wrinkle amplitude, number, or wavelength.[9]. Experiments of a square structure were performed using a Kapton membrane;[13] this method was shown to be accurate and could overcome the difficult of convergence or non-convergence during calculations
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