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<p>To design hollow structures with excellent mechanical performance and resistance to large structural deformations, a concurrent geometrically nonlinear topology optimization is proposed for structures with discrete manufacturable lattice cells in this paper. The structural description for the macro structure and the micro lattice cell is explicitly illustrated by the geometrical parameters of moving morphable bars (MMBs) to improve manufacturability. The geometrical parameters of macro MMBs are used as the macro design variables to describe the macro structure. The geometrical parameters of micro MMBs are determined the geometrical shape of diverse fixed lattice cells, and the type of the lattice cells are converted as discrete design variables. The bi-value coding parameterization scheme and the extended homogenized theory are adopted to construct the discrete optimization model of several fixed lattice cells. Then the constitutive elastic tensor for the discrete lattice cells is incorporated into the geometrically nonlinear finite element analysis. Afterwards, the geometrically nonlinear topology optimization model is established for hollow structures infilled with discrete lattice cells, and the relative sensitivities are also derived. Consequently, numerical examples verify that the consideration of geometrical nonlinearity and discrete lattice structures exerts a significant positive effect on the topology optimization of hollow structure.</p>

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Geometrically nonlinear concurrent topology optimization for hollow structures with discrete manufacturable lattices

  • 期刊论文

  • 发表日期：

    2026年3月22日

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  • Yanfang Zhao,
  • Jingyu Hu,
  • Weiyang Song,
  • Quyouyang Gao,
  • Xun Wang,
  • Peng Xie

摘要

To design hollow structures with excellent mechanical performance and resistance to large structural deformations, a concurrent geometrically nonlinear topology optimization is proposed for structures with discrete manufacturable lattice cells in this paper. The structural description for the macro structure and the micro lattice cell is explicitly illustrated by the geometrical parameters of moving morphable bars (MMBs) to improve manufacturability. The geometrical parameters of macro MMBs are used as the macro design variables to describe the macro structure. The geometrical parameters of micro MMBs are determined the geometrical shape of diverse fixed lattice cells, and the type of the lattice cells are converted as discrete design variables. The bi-value coding parameterization scheme and the extended homogenized theory are adopted to construct the discrete optimization model of several fixed lattice cells. Then the constitutive elastic tensor for the discrete lattice cells is incorporated into the geometrically nonlinear finite element analysis. Afterwards, the geometrically nonlinear topology optimization model is established for hollow structures infilled with discrete lattice cells, and the relative sensitivities are also derived. Consequently, numerical examples verify that the consideration of geometrical nonlinearity and discrete lattice structures exerts a significant positive effect on the topology optimization of hollow structure.