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A multi-material topology optimization approach for wrinkle-free design of cable-suspended membrane structures

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Abstract

In order to eliminate stress-related wrinkles in cable-suspended membrane structures and to provide simple and reliable deployment, this study presents a multi-material topology optimization model and an effective solution procedure for generating optimal connected layouts for membranes and cables. On the basis of the principal stress criterion of membrane wrinkling behavior and the density-based interpolation of multi-phase materials, the optimization objective is to maximize the total structural stiffness while satisfying principal stress constraints and specified material volume requirements. By adopting the cosine-type relaxation scheme to avoid the stress singularity phenomenon, the optimization model is successfully solved through a standard gradient-based algorithm. Four-corner tensioned membrane structures with different loading cases were investigated to demonstrate the effectiveness of the proposed method in automatically finding the optimal design composed of curved boundary cables and wrinkle-free membranes.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (11472215, U1508209, 11425207, 11672056) and the Fundamental Research Funds for the Central Universities (DUT15RC(3)026)

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Yangjun Luo, Yanzhuang Niu, Ming Li & Zhan Kang

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  1. Yangjun Luo
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  2. Yanzhuang Niu
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  3. Ming Li
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  4. Zhan Kang
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Correspondence to Yangjun Luo or Ming Li.

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Luo, Y., Niu, Y., Li, M. et al. A multi-material topology optimization approach for wrinkle-free design of cable-suspended membrane structures. Comput Mech 59, 967–980 (2017). https://doi.org/10.1007/s00466-017-1387-2

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  • DOI: https://doi.org/10.1007/s00466-017-1387-2

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