• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2015, Vol. 51 ›› Issue (19): 197-205.doi: 10.3901/JME.2015.19.197

• 制造工艺与装备 • 上一篇    下一篇

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薄壁件不一致刀齿铣削时铣削力系数构造与预测

董新峰1, 张为民1,2, 孙嘉彬1, 刘朝晖1   

  1. 1.同济大学机械与能源工程学院;
    2.同济大学中德学院
  • 出版日期:2015-10-05 发布日期:2015-10-05
  • 基金资助:
    国家科技重大专项(2011ZX04016-021)、国家科技支撑计划(2012BAF 01B02)和国家科技重大专项(2012ZX04005031)资助项目

Reconstruction of Milling Force Coefficients in Asymmetrical Teeth Milling Thin-walled Part

DONG Xinfeng1, ZHANG Weimin1,2, SUN Jiabin1, LIU Zhaohui1   

  1. 1.College of Mechanical Engineering, Tongji University;
    2.Chinese-German College for Postgraduate Studies, Tongji University
  • Online:2015-10-05 Published:2015-10-05

摘要: 针对薄壁件铣削过程中刀齿半径不一致现象引起的铣削力系数计算失真问题,提出构造刀齿半径不一致时的实际铣削力系数,并采用核偏最小二乘法对不同铣削用量时的实际铣削力系数进行预测。针对两齿螺旋铣刀铣削过程推导理论铣削力系数,根据刀齿半径不一致铣削过程引入名义铣削力,推导刀齿半径误差,构造实际铣削力系数;基于核分析方法突出的非线性分析及预测能力,提出采用核偏最小二乘法在高维空间建立实际铣削力系数关于铣削用量及其组合量的预测模型,分析该方法中核主元个数、高斯核函数核参数对预测模型精度的影响并确定其取值范围。最后分析考虑刀齿半径误差与不考虑时的铣削力系数,并比较核偏最小二乘预测方法与偏最小二乘预测方法,结果表明所提铣削力系数构造过程及预测方法具有较高的计算精度和预测能力。

关键词: 不一致刀齿, 核偏最小二乘, 理论铣削力系数, 名义铣削力, 实际铣削力系数

Abstract: Concentrated on the distortion problem of milling force coefficient calculation caused by the different cutter tooth radii in thin-walled parts milling, actual milling force coefficient is constructed, and is predicted through kernel partial least square regression method when milling parameters change. To construct actual milling force coefficient, theoretical milling force coefficient is deduced for two-teeth spiral milling cutter, nominal milling force is defined based on the milling process with cutter of different tooth radii, and cutter tooth radius error is deduced. Prediction model of actual milling force coefficient about milling parameters and their compositional variables, is established in high dimension space through kernel partial least square regression method based on the prominent nonlinear analysis and prediction ability of nuclear analysis; kernel parameters of Gaussian kernel function and the number of kernel principal components, whose impact on prediction model is analyzed, are set in certain value range in kernel partial least square regression method. At last, milling force coefficients are analyzed respectively when cutter tooth radius error is considered or not, and kernel partial least square regression prediction method and partial least square regression prediction method are compared; according to above data, the proposed construction and prediction methods of milling force coefficient have high calculation accuracy and prediction ability.

Key words: nominal milling force, theoretical milling force coefficient, actual milling force coefficient, asymmetrical teeth, kernel partial least square regression

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