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Topology optimization method of lattice structures based on a genetic algorithm

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Abstract

A two-stage topology optimization method of lattice structures based on a genetic algorithm is proposed. The first stage is the form-finding analysis of lattice structures, and the optimal initial shape was achieved with the numerical inverse hanging method. The second stage is the topology optimization of single-layer lattice structures, which can be realized by changing the mesh size and the tube configurations to minimize the total weight of steel tubes subject to the design requirements. The mesh configuration optimization is realized through the adjustment of the nodal horizontal co-ordinates and the removal of tubes with lower stress. The maximum displacement of the structure, the maximum stress of the circular steel tubes, and the nonlinear buckling load are the state variables, and a genetic algorithm (GA) is the optimization algorithm. Different stress-limiting values used to delete the tubes were discussed. The numerical examples show that the two-stage topology optimization method for lattice structures proposed in this paper is correct and efficient. Furthermore, the forms of the optimized structure are rich, and the structure is lightweight and efficient.

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Authors and Affiliations

  1. The Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, Southeast University, NanJing, 210096, China

    Ruo-qiang Feng & Feng-cheng Liu

  2. Shanghai General Metal Structure Engineering Co., Ltd., Shanghai, 201900, China

    Wei-jia Xu

  3. Guangdong Electric Design Power Institute, Guangzhou, Guangdong Province, 510663, China

    Min Ma

  4. Guangzhou Urban Planning &Design Survey Research Institute, Guangzhou, Guangdong Province, 510060, China

    Yang Liu

Authors
  1. Ruo-qiang Feng
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  2. Feng-cheng Liu
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  3. Wei-jia Xu
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  4. Min Ma
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  5. Yang Liu
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Correspondence to Ruo-qiang Feng.

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Feng, Rq., Liu, Fc., Xu, Wj. et al. Topology optimization method of lattice structures based on a genetic algorithm. Int J Steel Struct 16, 743–753 (2016). https://doi.org/10.1007/s13296-015-0208-8

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  • DOI: https://doi.org/10.1007/s13296-015-0208-8

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