基于齿面Ease off拓扑的弧齿锥齿轮齿面偏差等效修正方法

中国机械工程

基于齿面Ease off拓扑的弧齿锥齿轮齿面偏差等效修正方法

聂少武1;邓静2;邓效忠2;杨建军1;李聚波1

1.河南科技大学机电工程学院，洛阳，471003
2.河南科技大学机械装备先进制造河南省协同创新中心，洛阳，471003

出版日期:2017-10-25 发布日期:2017-10-24
基金资助:
国家自然科学基金资助项目（51475141，51675161，51405135）；
河南省高等学校重点科研项目计划资助项目（16A460032）；
河南省高校科技创新人才支持计划资助项目（15HASTIT025）；
河南科技大学博士科研启动基金资助项目（13480004）
National Natural Science Foundation of China （No. 51475141，51675161，51405135）

Tooth Surface Error Equivalent Correction Method of Spiral Bevel Gears Based on Ease off Topology

NIE Shaowu1;DENG Jing2;DENG Xiaozhong2;YANG Jianjun1;LI Jubo1

1.School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang,Henan,471003
2.Advanced Manufacturing Machinery and Equipment in Henan Province Collaborative Innovation Center,Henan University of Science and Technology,Luoyang,Henan,471003

Online:2017-10-25 Published:2017-10-24
Supported by:
National Natural Science Foundation of China （No. 51475141，51675161，51405135）

摘要/Abstract

摘要： 为提高弧齿锥齿轮齿面修正的效率，提出了一种仅修正小轮齿面偏差的等效修正方法。通过比较实测齿面与设计齿面Ease off之间的失配值,计算出小轮齿面等效偏差。通过建立齿面等效偏差与加工参数之间的修正数学模型，反求出满足理论失配要求的小轮加工参数。实验结果表明：通过对小轮齿面偏差进行等效修正，小轮实际齿面与大轮实际齿面之间的失配值与设计值误差在5μm以内，传动误差幅值与理论值相差0.5″，实际齿面啮合结果满足理论设计要求。

关键词: 弧齿锥齿轮, 齿面Ease off拓扑, 齿面偏差, 等效修正

Abstract: In order to improve modify efficiency of spiral bevel gears, a kind of tooth surface error equivalent correction method which only modified pinion was proposed. By means of comparing the differences between real tooth surface and design tooth surface Ease off, the pinion tooth surface equivalent errors were calculated. By means of establishing the modification mathematical model between the pinion tooth surface equivalent errors and processing parameters, the pinion processing parameters meeting theoretical mismatch requirements were calculated. Experimental results demonstrate that the differences between real tooth surface mismatch values and design values are within 5μm after modifying the pinion tooth surfaces, and the differences between the real transmission errors and theoretic values are as 0.5″, so the real tooth meshing performance is in accordance with the theoretic results.

Key words: spiral bevel gear, tooth surface Ease off topology, tooth surface error, equivalent correction

中图分类号:

TH132.4

聂少武1;邓静2;邓效忠2;杨建军1;李聚波1. 基于齿面Ease off拓扑的弧齿锥齿轮齿面偏差等效修正方法[J]. 中国机械工程.

NIE Shaowu1;DENG Jing2;DENG Xiaozhong2;YANG Jianjun1;LI Jubo1. Tooth Surface Error Equivalent Correction Method of Spiral Bevel Gears Based on Ease off Topology[J]. China Mechanical Engineering.

参考文献

[1]李敬财,王太勇,范胜波,等.基于数字化制造的螺旋锥齿轮齿面误差修正[J].农业机械学报,2008,39(5): 174-177.
LI Jingcai, WANG Taiyong, FAN Shengbo, et al. Error Corrections of Spiral Bevel Gear Tooth Surface Based on Digitized Manufacturing[J].Transactions of the Chinese Society for Agricultural Machinery, 2008, 39(5):174-177.
[2]李天兴,邓效忠,魏冰阳. 基于一维测头准双曲面齿轮齿面偏差的测量[J]. 中国机械工程, 2007, 18(8): 958-961.
LI Tianxing, DENG Xiaozhong, WEI Bingyang.Tooth Surface Deviation Measurement of Hypoid Gears Based on One-dimensional Probe[J]. China Mechanical Engineering, 2007,18(8): 958-961.
[3]李天兴,邓效忠,李聚波,等. 螺旋锥齿轮齿面误差分析与自动反馈修正[J]. 航空动力学报, 2011, 26(5): 1194-1120.
LI Tianxing, DENG Xiaozhong, LI Jubo, et al.Automatic Feedback Correction and Deviation Analysis for Tooth Surface of Spiral Bevel and Hypoid Gear[J]. Journal of Aerospace Power, 2011, 26(5):1194-1120.
[4]陈书涵,严宏志,明兴祖,等.螺旋锥齿轮误差齿面及差曲面的建立与分析[J].中国机械工程, 2008,19(18):2156-2160.
CHEN Shuhan, YAN Hongzhi, MING Xingzu,et al. Establishment and Analysis of Error and Difference Surfaces in Spiral Bevel Gear[J].China Mechanical Engineering, 2008,19(18):2156-2160.
[5]陈书涵,严宏志. 基于刀倾法的螺旋锥齿轮齿面误差修正算法研究[J]. 中国机械工程, 2011, 22(9): 1080-1084.
CHEN Shuhan, YAN Hongzhi. Research on Tooth Surface Deviation Correction Algorithm of Spiral Bevel Gear Based on Tilting Method[J]. China Mechanical Engineering, 2011, 22(9): 1080-1084.
[6]严宏志,陈书涵,明兴祖,等.机床调整误差对螺旋锥齿轮齿面影响的研究[J].中国机械工程, 2009, 20(1): 11-14.
YAN Hongzhi, CHEN Shuhan, MING Xingzu, et al. Research on the Influence of Adjustment Errors of Machine on Tooth Surfaces of Spiral Bevel Gear[J]. China Mechanical Engineering, 2009,20(1): 11-14.
[7]唐进元,曹康,周超,等.小轮齿面误差与调整参数误差敏感性研究[J].航空动力学报, 2009,24(9):2145-2151.
TANG Jinyuan, CAO Kang, ZHOU Chao, et al. Research on the Sensitivity between the Machine Adjustment Parameter Errors and the Spiral Bevel Gears Surface Errors[J]. Journal of Aerospace Power, 2009, 24(9):2145-2151.
[8]曹康,唐进元,李国顺,等. 弧齿锥齿轮齿面误差的最少参数修正法[J].中国机械工程, 2010, 21(4): 469-476.
CAO Kang, TANG Jinyuan, LI Guoshun, et al.Least Parametrical Modification Method of Spiral Bevel Gear Tooth Surface Errors [J]. China Mechanical Engineering, 2010, 21(4):469-476.
[9]张宇,严宏志,曾韬.弧齿锥齿轮双重螺旋法切齿原理及齿面接触分析研究[J]. 机械工程学报, 2015, 51 (21): 15-23.
ZHANG Yu, YAN Hongzhi, ZENG Tao. Cutting Principle and Tooth Contact Analysis of Spiral Bevel and Hypoid Gears Generated by Duplex Helical Method[J]. Journal of Mechanical Engineering, 2015, 51(21):15-23.
[10]苏进展,贺朝霞.弧齿锥齿轮齿面的高精度修形方法[J].华南理工大学学报,2014,42(4):91-96.
SU Jinzhan, HE Zhaoxia. High-precision Modification of Tooth Surface for Spiral Bevel Gears[J]. Journal of South China University of Technology, 2014, 42(4):91-96.
[11]ARTONI A, GABICCINI M, KOLIVAND M. Ease off Based Compensation of Tooth Surface Deviations for Spiral Bevel and Hypoid Gears: Only the Pinion Needs Corrections[J]. Mechanism and Machine Theory, 2013,61(3):84-101.
[12]曹雪梅,邓效忠,聂少武. 基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计[J]. 航空动力学报, 2015, 30(1):195-200.
CAO Xuemei, DENG Xiaozhong, NIE Shaowu.Ease-off Flank Topography Design for Aviation Spiral Bevel Gears with Higher-order Transmission Errors by Modification of Conjugate Flank[J]. Journal of Aerospace Power, 2015, 30(1):195-200.
[13]SHIH Y P. A Novel Ease-off Flank Modification Methodology for Spiral Bevel and Hypoid Gears[J]. Mechanism and Machine Theory, 2010, 45(8):1108-1124.
[14]SHIH Y P, FONG Z H. Flank Modification Methodology for Face-hobbing Hypoid Gears Based on Ease-off Topography[J]. Journal of Mechanical Design, 2007,129(12): 1294-1302.
[15]唐进元,聂金安,王智全. 螺旋锥齿轮HFT法加工的反调修正方法[J]. 中南大学学报, 2012, 43(6): 2142-2149.
TANG Jinyuan, NIE Jinan, WANG Zhiquan.Reverse Correction of Spiral Bevel Gear HFT Method[J]. Journal of Central South University, 2012, 43(6): 2142-2149.