<p>Lattice structures are widely used in structural lightweight design due to the excellent mechanical properties. In this paper, a design method of lattice structure with variable density unit cells guided by load paths is proposed. The load paths within the structures are visualized by calculating the strain energy coefficient values of any node based on the <i>U</i>* theory. And then, the minimum distance from each node to the main load path is taken as the control parameter to guide the size of each unit cell. A penalty factor is defined to discretize the control parameters and improve structural performance. The influence of different values of penalty factor on the mechanical performances of the variable density lattice structures are studied. The results indicate that the mechanical performances of the variable density lattice structure guided by load paths is better than that of the uniform density lattice structure. And when the penalty factor is 0.7, the specific stiffness of the variable density lattice structure is the highest, and the overall stiffness index is the best.</p>

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Design method of lattice structure with variable density unit cells guided by load paths

  • Zhaohua Wang,
  • Dong Wang,
  • Tongqing Zhang,
  • Lei Liu,
  • Zhishun Wu

摘要

Lattice structures are widely used in structural lightweight design due to the excellent mechanical properties. In this paper, a design method of lattice structure with variable density unit cells guided by load paths is proposed. The load paths within the structures are visualized by calculating the strain energy coefficient values of any node based on the U* theory. And then, the minimum distance from each node to the main load path is taken as the control parameter to guide the size of each unit cell. A penalty factor is defined to discretize the control parameters and improve structural performance. The influence of different values of penalty factor on the mechanical performances of the variable density lattice structures are studied. The results indicate that the mechanical performances of the variable density lattice structure guided by load paths is better than that of the uniform density lattice structure. And when the penalty factor is 0.7, the specific stiffness of the variable density lattice structure is the highest, and the overall stiffness index is the best.