基于非参数回归响应面法的高精车铣复合机床床身多目标联合优化设计

Multi-objective joint optimization design of high-precision turn-milling compound machine tool bed based on nonparametric regression response surface method

  • 摘要: 精密化是机械加工领域追求的目标,数控车铣复合机床作为高端机械加工装备,其床身的动静态特性对机床加工精度有显著影响。针对当前床身结构优化方法效率低、效果差的问题,文章提出一种非参数响应面法的多目标联合优化方案。该方案首先根据有限元分析结果挑选出模型的优化尺寸,并将床身质量、最大形变、一阶固有频率作为联合优化目标;通过建立参数试验对尺寸进行敏感性分析,精准选出敏感性较大尺寸;基于非参数回归法建立响应面,导入所选尺寸,计算试验样本的响应值,建立非参数回归响应面优化模型,并采用多目标遗传算法找出最优设计方案。最优方案优化结果为:机床床身最大形变降低约14.667%,一阶固有频率提升约3.187%,质量降低约1.208%。结果表明该优化方案能够高效提升机床床身动静态特性,为机床优化设计提供理论依据。

     

    Abstract: Precision is the goal of machining field. CNC turn-milling compound machine tool as high-end machining equipment, the dynamic and static characteristics of its bed have significant influence on the machining accuracy. Aiming at the problems of low efficiency and poor effect of current bed structure optimization methods, a multi-objective joint optimization scheme based on nonparametric response surface method is proposed in this paper. According to this scheme, the optimal sizes of the bed model are selected based on the finite element analysis results. The mass of the bed, the maximum deformation and the first-order natural frequency are taken as the joint optimization objectives. Through the establishment of parameter test, the sensitivity analysis of sizes is carried out and the size with greater sensitivity is accurately selected. Based on the nonparametric regression method, the response surface is established. The selected sizes are imported and the response values of the test samples are calculated. The nonparametric regression response surface optimization model is established and the multi-objective genetic algorithm is used to find the optimal design scheme. The optimization result is as follows: the maximum deformation of machine tool bed is reduced by about 14.667%, the first-order natural frequency is increased by about 3.187%, and the quality is decreased by about 1.208%. The results show that the optimization scheme can effectively improve the dynamic and static characteristics of machine tool bed. This paper provides a theoretical basis for the optimization design of machine tool.

     

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