基于线性变换多目标优化函数的平面快速抛光机床精度分析

Accuracy analysis of flat rapid polishing machine based on linear transformation multi-objective optimization function

  • 摘要: 机床精度分析是多目标优化问题,往往要关注空间运动精度、制造成本和可靠性等因素,如何对多目标进行权衡是精度分析的难点。文章提出一种基于线性变换的多目标精度分配模型,利用线性变换方程实现单目标优化模型的量纲标准化。以平面快速抛光机床为例开展精度分析,首先,通过多体理论分析平面快速抛光机床车削修盘的空间精度模型和22项运动误差,通过敏感度分析提出5项敏感误差。其次,利用线性正、负变换方程对空间精度、制造成本和可靠性的单目标优化模型标准化,利用3个权重系数构造平面快速抛光机床多目标优化函数,通过智能算法对参数进行求解,并提出机床设计指标。最后,采用实验验证,平面快速抛光机床修整1 200 mm口径金属抛光垫,使得表面轮廓峰谷值优于0.02 mm。

     

    Abstract: Machine tool accuracy analysis is a multi-objective optimization problem. Factors such as spatial motion accuracy, manufacturing cost, and reliability are of concern. Balancing multiple objectives is the difficulty of accuracy analysis. A multi-objective allocation method based on linear transformation is proposed. Using the linear transformation equation, the dimensional standardization of the single-objective optimization model is achieved. Taking the planar rapid polishing machine tool as an example, accuracy analysis is carried out. Firstly, through multi-body theory analysis, the spatial accuracy model and 22 motion errors of the planar rapid polishing machine tool for dressing are established. Through sensitivity analysis, 5 sensitive errors are proposed. Secondly, using linear positive and negative transformation equations, the single-objective optimization models for spatial accuracy, manufacturing cost, and reliability are standardized. Using 3 weight coefficients, the multi-objective optimization function of the planar rapid polishing machine tool is constructed, and the parameters of the function are solved through intelligent algorithms, and machine tool design indicators are proposed. Finally, accuracy allocation results were verified through experiments, and the 1200 mm diameter metal polishing pad of the planar rapid polishing machine was conditioned, achieving a surface profile accuracy better than 0.02 mm.

     

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