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Multi-constrained topology optimization via the topological sensitivity

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Abstract

The objective of this paper is to introduce and demonstrate a robust method for multi-constrained topology optimization. The method is derived by combining the topological sensitivity with the classic augmented Lagrangian formulation.

The primary advantages of the proposed method are: (1) it rests on well-established augmented Lagrangian formulation for constrained optimization, (2) the augmented topological level-set can be derived systematically for an arbitrary set of loads and constraints, and (3) the level-set can be updated efficiently. The method is illustrated through numerical experiments.

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Acknowledgements

The authors would like to thank the support of National Science Foundation through grants CMMI-1232508 and CMMI-1161474.

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  1. Mechanical Engineering, University of Wisconsin, Madison, USA

    Shiguang Deng & Krishnan Suresh

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  1. Shiguang Deng
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  2. Krishnan Suresh
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Correspondence to Krishnan Suresh.

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Deng, S., Suresh, K. Multi-constrained topology optimization via the topological sensitivity. Struct Multidisc Optim 51, 987–1001 (2015). https://doi.org/10.1007/s00158-014-1188-6

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