基于响应面方法与NSGA-II的液体静压转台工况参数匹配研究

Parameter optimization of a hydrostatic rotary table based on response surface methodology and NSGA-II

  • 摘要: 为提高液体静压转台在多加工场景下的综合性能与适应性,提出了一种基于响应面代理模型与NSGA-II多目标遗传算法的工况参数匹配方法。通过建立液体静压转台的流固热耦合仿真模型,并以转台承载力与转台台面变形量为优化目标,设计了四因素三水平的Box-Behnken实验,构建了转台承载力与变形量的响应面代理模型,并采用方差分析与残差诊断方法验证了代理模型的准确性与可靠性。通过参数敏感度与响应面分析方法,发现液体静压转台的承载力主要受供油压力与油膜厚度的线性和交互效应控制,且表现出明显的非线性特征。转台台面变形量不仅受转台转速和油膜厚度主导,还受到多参数交互作用的显著影响。应用NSGA-II算法对代理模型进行多目标优化,借助TOPSIS算法对Pareto最优解集进行决策,获得了兼顾高承载力与低变形量的10组最优参数组合,并通过仿真验证了其有效性,为液体静压转台的性能优化提供了一种新的方法,对工程应用具有一定的参考与指导意义。

     

    Abstract: To improve the comprehensive performance and adaptability of hydrostatic rotary tables in diverse machining conditions, this study proposes an operating parameters matching optimization method based on response surface methodology and the NSGA-II. A fluid-structure-thermal coupled simulation model of the hydrostatic rotary table was established. With the objectives of maximizing the table's load capacity and minimizing the worktable surface deformation, a four-factor, three-level Box-Behnken experimental design was employed. Response surface proxy models for both the load capacity and deformation were constructed. The accuracy and reliability of these proxy models were verified using analysis of variance (ANOVA) and residual diagnosis methods. Parameter sensitivity analysis and response surface analysis revealed that the load capacity is primarily governed by the linear and interactive effects of oil supply pressure and oil film thickness, exhibiting significant non-linear characteristics. The worktable surface deformation was found to be not only dominated by the table's rotational speed and oil film thickness but also significantly influenced by the interactive effects of multiple parameters. The NSGA-II algorithm was applied to perform multi-objective optimization on the proxy models. The technique for order of preference by similarity to ideal solution (TOPSIS) method was then used to make decisions from the obtained Pareto optimal solution set. This process yielded 10 optimal parameter combinations that balance high load capacity with low deformation. This study provides a new method for optimizing the performance of hydrostatic rotary tables, and it has certain reference and guiding significance for engineering applications.

     

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