基于拓扑优化与NSGA-II算法的超精密机床多目标协同优化

Multi-objective cooperative optimization of ultra-precision machine tools based on topological optimization and the NSGA-II algorithm

  • 摘要: 超精密机床结构普遍存在刚度设计优化不足、装配阶段结构件质量偏大的问题,这与超精密加工对装备刚度和精度不断提升的需求形成矛盾。针对上述挑战,提出以变密度拓扑优化方法指导机床结构方案设计,并联合响应面法与NSGA-II遗传算法,实现关键结构件的多目标参数优化,最终完成轻量化与高刚度协同优化的机床结构设计。通过有限元仿真,对比分析优化前后关键结构件及整机的质量与总变形特性。仿真结果表明,经拓扑优化后,立柱质量降低6.70%,最大变形减小40.47%;主轴箱质量降低14.34%,最大变形减小22.41%;整机在不同位置下最大变形折线斜率下降25.86%,中间位置的最大变形减小15.00%。该研究成果可为大型超精密机床结构优化设计提供重要的理论参考与工程指导。

     

    Abstract: A common issue in ultra-precision machine tool structures is the insufficient optimization of stiffness design and the excessive mass of structural components during the assembly phase. This issue conflicts with the increasing demands for stiffness and accuracy in ultra-precision machining equipment. To address these technical challenges, a structural design approach guided by the variable density topology optimization method was proposed. Combined with the response surface methodology and the NSGA-II genetic algorithm, multi-objective parameter optimization of key structural components was achieved. A machine tool structure design that balances lightweight construction and high stiffness was ultimately realized. Finite element simulations were conducted to compare and analyze the mass and total deformation characteristics of key components and the overall machine tool before and after optimization. The simulation results show that after topology optimization, the column mass is reduced by 6.70%, and its maximum deformation is reduced by 40.47%. The spindle box mass is reduced by 14.34%, and its maximum deformation is reduced by 22.41%. The slope of the maximum deformation curve at different positions of the overall machine tool decreases by 25.86%, and the maximum deformation at the intermediate position is reduced by 15.00%. These research findings provide significant theoretical references and engineering guidance for the structural optimization design of large-scale ultra-precision machine tools.

     

/

返回文章
返回