金字塔点阵单元力学性能多目标优化

Multi-objective Optimization of Mechanical Performance of Pyramid Lattice Element

本文以金字塔点阵单元的平压与剪切比极限承载力作为优化目标,基于遗传算法(GA)和响应面法(RSM)对结构参数进行多目标优化,并对优化结果进行有限元和试验验证。研究结果表明:基于遗传算法预测的优化结构与一般结构相比,其平压与剪切比极限承载力预测结果分别提高了30.1%和91.6%;在优化结果验证方面,通过有限元分析得到的优化结构平压和剪切比极限承载力分别提高了39.7%和90.5%;通过试验获得最优结构的平压比极限承载力较一般结构提高了44%。有限元分析和试验均验证了本文优化方法的有效性,可将其推广应用于点阵结构的优化设计。

In this study,the genetic algorithm(GA)and response surface method(RSM)are used to optimize structural parameters multi-objectively to maximize the ultimate specific uniaxial compression and specific pure shearing bearing capacity of pyramid lattice elements.The optimization result is verified by finite element simulation and experiment.The results show that the prediction results of the optimal structure based on the genetic algorithm are 30.1%and 91.6%higher than those of the conventional structure for the ultimate uniaxial compression and pure shearing bearing capacity,respectively.The finite element analysis results of the optimized structure are 39.7%and 90.5%higher than those of the conventional structure for the uniaxial compression and pure shearing bearing capacity,respectively.The experimental result of the optimal structure is 44%higher than that of the conventional structure for the ultimate uniaxial compression bearing capacity.The ability of the proposed optimization method was verified by both the finite element analysis and experiment and it can be applied in the design of lattice structures.