基于响应面模型与遗传算法的工具磨床立柱多目标优化设计

Multi-objective optimization design of tool grinder column based on response surface model and genetic algorithm

  • 摘要: 以某型号工具磨床立柱为研究对象,应用SolidWorks建立立柱的三维模型,然后利用ANSYS Workbench软件对其在典型工况下进行静态特性分析,并根据分析结果对立柱进行多目标优化设计。优化时,首先确定设计变量,利用正交试验进行灵敏度分析,判断灵敏度较大的设计变量作为后续优化设计的自变量;然后通过二阶响应面法建立数学模型,采用理想点法构造评价函数;最后利用遗传算法进行优化求解。分析结果表明:改进后立柱最大变形量减少8.6%,最大等效应力减小5.1%,静态性能得到提高,达到了优化目的,同时可为其他类型工具磨床立柱优化设计提供理论依据。

     

    Abstract: The thesis takes the column of a certain type of tool grinder as the research object, uses Solid Works to establish a three-dimensional model of the column, and then uses ANSYS Workbench software to analyze its static characteristics under typical working conditions. According to the analysis results of the static characteristics of the column, the multi-objective optimization design can be performed on the column. In multi-objective optimization design, first, the design variables are determined, and the sensitivity analysis is performed by orthogonal test, and the design variable with greater sensitivity is judged as the independent variable of the subsequent optimization design; then, the mathematical model is established by the second-order response surface method, and the evaluation function is constructed by the ideal point method; finally, the genetic algorithm is used to optimize the solution. The analysis results show that: the maximum deformation of the improved column is reduced by 8.6%, the maximum equivalent stress is reduced by 5.1%, the static performance is improved, and the optimization goal is achieved. At the same time, it can provide a theoretical basis for the optimization design of other types of tool grinder columns.

     

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