Abstract: In order to determine the optimal machining parameters of thin-wall complex variable cross-section scroll precision milling process and reveal the effects of milling combined parameters on milling forces, a method was proposed to optimize milling combined parameters and predict milling forces accurately for variable cross-section scrolls based on multiple regression analysis and grey correlation method. Firstly, the geometric model and precision milling model of variable cross-section scrolls were established, and the orthogonal test method was used to analyze the influences of milling parameters on milling force components. Secondly, the prediction model of milling forces was obtained based on multiple regression method, and the significance test analysis was carried out on the regression equation. Then, the close correlation degree among milling parameters and milling forces were explored by grey correlation method. Finally, the milling force prediction model was verified by milling experiments and the optimal milling parameters were obtained. The results show that the maximum, minimum and average relative errors between the predicted milling forces and the experimental force are as 9.02%, 3.31% and 6.16% respectively, which verifies the reliability and accuracy of the model and provides a basis for machining high-precision variable section scroll parts.

Key words: variable cross-section scroll, thin-wall, orthogonal test, precision milling, regression prediction model, grey correlation analysis

摘要： 为确定薄壁复杂变截面涡旋盘精密铣削过程最优加工参数，揭示铣削组合参数对铣削力的影响规律，提出一种基于多元回归分析与灰色关联度法的变截面涡旋盘精密铣削组合参数优选与铣削力准确预测方法。建立变截面涡旋盘的几何模型与精密铣削模型，并采用正交试验法分析各铣削参数对铣削分力的影响；基于多元回归法得到铣削力的预测模型，并对回归方程进行显著性检验；利用灰色关联度法探究了铣削参数与铣削合力间的紧密关联程度；最后通过铣削加工实验验证了铣削力预测模型并获得最优铣削参数。研究结果表明，铣削合力预测值与实验值的最大、最小和平均相对误差分别为9.02%、3.31%、6.16%, 验证了模型的可靠性和准确性，为高精度变截面涡旋盘加工提供了方法和依据。

关键词: 变截面涡旋盘, 薄壁, 正交试验, 精密铣削, 回归预测模型, 灰色关联度分析