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Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model

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Abstract

In this paper, a new non-probabilistic reliability-based topology optimization (NRBTO) method is proposed to account for interval uncertainties considering parametric correlations. Firstly, a reliability index is defined based on a newly developed multidimensional parallelepiped (MP) convex model, and the reliability-based topology optimization problem is formulated to optimize the topology of the structure, to minimize material volume under displacement constraints. Secondly, an efficient decoupling scheme is applied to transform the double-loop NRBTO into a sequential optimization process, using the sequential optimization & reliability assessment (SORA) method associated with the performance measurement approach (PMA). Thirdly, the adjoint variable method is used to obtain the sensitivity information for both uncertain and design variables, and a gradient-based algorithm is employed to solve the optimization problem. Finally, typical numerical examples are used to demonstrate the effectiveness of the proposed topology optimization method.

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Acknowledgements

This research is partially supported by the National Natural-Science-Foundation of China (51575204), and the Australian Research Council (ARC)-Discovery Projects (160102491), and the National Science Fund for Distinguished Young Scholars (51725502).

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Authors and Affiliations

  1. School of Electrical, Mechanical and Mechatronic Systems, University of Technology, Sydney, 15 Broadway, Ultimo, NSW, 2007, Australia

    Jing Zheng, Zhen Luo & Jinglai Wu

  2. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, School of Mechanical and Vehicle Engineering Hunan University, Changsha, Hunan Province, 410082, China

    Jing Zheng, Chao Jiang & Bingyu Ni

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  1. Jing Zheng
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  2. Zhen Luo
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  3. Chao Jiang
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  4. Bingyu Ni
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  5. Jinglai Wu
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Correspondence to Chao Jiang.

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Zheng, J., Luo, Z., Jiang, C. et al. Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model. Struct Multidisc Optim 57, 2205–2221 (2018). https://doi.org/10.1007/s00158-017-1851-9

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  • DOI: https://doi.org/10.1007/s00158-017-1851-9

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