基于回归分析的准双曲面齿轮齿面误差修正

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清华大学辅仁网/2017-07-07

基于回归分析的准双曲面齿轮齿面误差修正

田程¹, 丁炜琦², 桂良进¹, 范子杰¹

1. 清华大学汽车工程系, 汽车安全与节能国家重点实验室, 北京 100084;
2. 陕西汉德车桥有限公司, 西安 710201

Flank error correction of hypoid gears based on regression analyses

TIAN Cheng¹, DING Weiqi², GUI Liangjin¹, FAN Zijie¹

1. State Key Laboratory of Automotive Safety and Energy, Department of Automotive Engineering, Tsinghua University, Beijing 100084, China;
2. Shaanxi Hande Axle Co., Ltd., Xi'an 710201, China

摘要:

输出: BibTeX | EndNote (RIS)

摘要针对准双曲面齿轮齿面加工误差的机床加工参数调整修正问题，建立了基于刀倾半展成法（HFT）的齿面方程，给出了齿面离散化方法和齿面加工误差的表达式。基于机床加工参数对齿面误差的灵敏度系数进行推导，给出了现有齿面误差修正方法的数学模型，并指出其不足。在此基础上提出了基于回归分析的齿面误差修正方法，通过加工参数的灵敏度系数向量与实测齿面误差向量的线性相关性分析来选择变量，在选取较少的加工参数作为调整变量的同时，减少了各参数所需的调整量。实际齿轮的误差修正试验证明了该方法的上述优点以及误差修正的有效性，可为其他齿面误差修正问题提供了一定的借鉴。

关键词 ：准双曲面齿轮,机床加工参数,齿面误差修正,回归分析,刀倾半展成法

Abstract：Tooth surface equations are derived based on the hypoid-format-tilt (HFT) method to calculate the machine parameter correction for the flank machining error of hypoid gears. The tooth surface discretization method is given for the flank machining error. The sensitivity coefficient for the flank error machine parameters is used to develop a mathematical model for the flank error correction method to identify its disadvantages based on a regression analysis. The linear dependence of the sensitivity coefficient vector of the machine parameters is compared with the real flank error vector to identify the variables for the regression analysis, which reduces the number of machine parameters to be adjusted. Tests of the flank error correction of a real gear show the above advantages and the effectiveness of this method. Guidelines are given for other flank error correction problems.

Key words：hypoid gear machine setting parameters flank error correction regression analysis hypoid format tilt

收稿日期: 2015-12-31 出版日期: 2017-02-21

ZTFLH:

TH133

通讯作者:范子杰,教授,E-mail:zjfan@tsinghua.edu.cnE-mail: zjfan@tsinghua.edu.cn

引用本文:

田程, 丁炜琦, 桂良进, 范子杰. 基于回归分析的准双曲面齿轮齿面误差修正[J]. 清华大学学报（自然科学版）, 2017, 57(2): 141-146.
TIAN Cheng, DING Weiqi, GUI Liangjin, FAN Zijie. Flank error correction of hypoid gears based on regression analyses. Journal of Tsinghua University(Science and Technology), 2017, 57(2): 141-146.

链接本文:

http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2017.22.005或 http://jst.tsinghuajournals.com/CN/Y2017/V57/I2/141

图表:

图1 左旋小齿轮凹面加工坐标系

图2 齿面离散示意图

表1 准双齿面齿轮基本参数

表2 小轮初始加工参数

图3 初始齿面误差(专用齿轮检测机报告)

表3 两种方法计算得到的加工参数调整量

表4 两种方法误差修正效果

图4 修正后的齿面误差(专用齿轮检测机报告)

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