Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors

Junhua Yao; Rongjing Hong

doi:10.16578/j.issn.1004.2539.2022.09.006

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Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors

Theory·Reserach | 更新时间：2022-09-26

- Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors
- Journal of Mechanical Transmission Vol. 46, Issue 9, Pages: 42-48(2022)
- 作者机构：
  
  1.南京工业大学机械与动力工程学院，江苏南京 210009
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2022.09.006
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姚俊华,洪荣晶.机床误差与包络铣齿加工误差映射关系建模[J].机械传动,2022,46(09):42-48.

Yao Junhua,Hong Rongjing.Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors[J].Journal of Mechanical Transmission,2022,46(09):42-48.
姚俊华,洪荣晶.机床误差与包络铣齿加工误差映射关系建模[J].机械传动,2022,46(09):42-48. DOI： 10.16578/j.issn.1004.2539.2022.09.006.

Yao Junhua,Hong Rongjing.Modeling of the Mapping Relationship Between Machine Tool Errors and Free-form Milling Machining Errors[J].Journal of Mechanical Transmission,2022,46(09):42-48. DOI： 10.16578/j.issn.1004.2539.2022.09.006.

摘要

为了提高齿轮加工精度，提出了一种针对机床误差与齿轮误差映射关系的建模方法。根据齿轮啮合原理和空间包络铣削理论，建立包含机床误差的齐次坐标变换矩阵，并求解了相应的齿轮端面廓形。经过误差敏感性分析发现，齿廓、螺旋线偏差与,Y,轴和,Z,轴偏转误差成正比例关系并且满足叠加原理。根据工件误差检测结果，计算出各轴误差补偿分量。实验结果表明，齿廓偏差由7级精度（ISO 1328-1：2013）提高到4级精度，螺旋线偏差由7级精度提高到6级精度。

Abstract

In order to improve the gear machining accuracy， a modeling method of mapping relationship between machine tool errors and gear errors is proposed. According to the gear meshing principle and spatial envelope milling theory， a homogeneous coordinate transformation matrix including machine tool error is established， and the corresponding gear end profile is solved. Through the error sensitivity analysis， it is found that the tooth profile and tooth direction error are in positive proportion to the rotation angle errors of ,Y,-axis and ,Z,-axis， and meet the superposition principle. According to the error detection results of the workpiece， the error compensation components of each axis are calculated. The experimental results show that the tooth profile error is improved from grade 7 accuracy （ISO 1328-1:2013） to grade 4 accuracy， and the tooth direction error is improved from grade 7 to grade 6.

关键词

包络铣齿加工误差轮齿偏差

Keywords

Envelope milling toothMachining errorTooth deviation

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