螺旋锥齿轮齿面误差修正技术研究

吴聪; 严宏志; 母福生; 肖蒙; 艾伍轶

doi:10.13433/j.cnki.1003-8728.20180006

螺旋锥齿轮齿面误差修正技术研究

doi: 10.13433/j.cnki.1003-8728.20180006

吴聪^1,2,
严宏志^1,2, ,,
母福生^1,2,
肖蒙^1,2,
艾伍轶^1,2

1.
中南大学高性能复杂制造国家重点实验室, 长沙 410083;
2.
中南大学机电工程学院, 长沙 410083

基金项目:

国家自然科学基金项目（51575533）资助

详细信息

作者简介:
吴聪(1992-),硕士研究生,研究方向为螺旋锥齿轮齿面误差精确修正,wucongcsu@163.com

通讯作者:
严宏志,教授,博士,yhzcsu@163.com

计量
- 文章访问数: 1035
- HTML全文浏览量: 61
- PDF下载量: 725
- 被引次数: 0
出版历程
- 收稿日期: 2017-07-23
- 刊出日期: 2018-08-05

Research on Tooth Surface Error Correction Technique of Spiral Bevel Gears

Wu Cong^1,2,
Yan Hongzhi^{1,2
, ,},
Mu Fusheng^1,2,
Xiao Meng^1,2,
Ai Wuyi^1,2

1.
State Key Laboratory for High Performance Complex Manufacturing, Central South University, Changsha 410083, China;
2.
College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China

摘要

摘要: 研究了机床调整参数误差对双重螺旋法加工的螺旋锥齿轮小轮齿面误差的影响规律。基于齿轮啮合原理，使用MATLAB软件建立误差齿面方程，推导出了含机床调整参数误差的齿面离散点误差解析式，获得了对应机床调整参数误差的凹、凸两齿面误差拓扑图，分析了机床调整参数误差与齿面误差的映射关系，确定了对齿面误差影响较大的调整参数。借助2阶曲面对齿面误差拓扑图的近似表达，得出机床调整参数误差对齿面误差的影响权重。基于齿面误差及两齿面误差敏感矩阵，建立了齿面误差修正模型，通过广义逆矩阵的最小二乘法解超越方程组，获得机床调整参数的修正量。最后通过实例验证了误差齿面的修正效果，结果表明修正后凹凸两面的齿面误差大幅下降。
- 螺旋锥齿轮 /
- 双重螺旋法 /
- 机床调整参数 /
- 差曲面 /
- 齿面误差修正
Abstract: The relationship between the machine setting parameter errors and the surface errors of spiral bevel gears manufactured by duplex helical method are studied. Based on the gear meshing theory,the equations of deviation surfaces are established and the analytic expression of tooth surface error caused by machine setting parameters errors are derived by MATLAB. The deviation topographies corresponding to the machine setting parameter errors are built,the mapping relationship between the each process parameter error and the tooth surface errors is analyzed,the major impact machine setting parameters are obtained. The influence weight of the change in machine setting parameters on the tooth surface error is obtained by using second order surface. Based on the tooth flank error and error sensitivity matrixes,the model for adjusting tooth flank error is developed,the generalized inverse matrix with least square method is adopted to solve the transcendental equations,and the correction quantities is obtained. A spiral bevel gear generated by the duplex helical method is used as an example to validate the effectiveness of the error correction method,the results reveal that the tooth flank errors of both side are greatly reduced.
- spiral bevel gears /
- duplex helical method /
- machine setting parameter /
- difference surface /
- tooth surface error correction

HTML全文

参考文献(12)

[1]	Lin C Y, Tsay C B, Fong Z H. Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques[J]. Journal of Materials Processing Technology, 2001,114(1):22-5
[2]	Kolivand M, Kahraman A. A load distribution model for hypoid gears using ease-off topography and shell theory[J]. Mechanism and Machine Theory, 2009,44(10):1848-1865
[3]	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, 2013,61:84——01
[4]	Artoni A, Bracci A, Gabiccini M, et al. Optimization of the loaded contact pattern in hypoid gears by automatic topography modification[J]. Journal of Mechanical Design, 2009,131(1):011008
[5]	Fan Q. Tooth surface error correction for face-hobbed hypoid Gears[J]. Journal of Mechanical Design, 2010,132(1):011004
[6]	Wang J, Wang X C, Jiang H, et al. Measurement and compensation of deviations of real tooth surface of spiral bevel gear[J]. Chinese Journal of Aeronautics, 2003,16(3):182-186
[7]	苏进展,方宗德.弧齿锥齿轮小轮粗切优化及验证[J].中南大学学报(自然科学版),2017,48(3):644-649 Su J Z, Fang Z D. Optimization and Validation of pinion roughing for spiral bevel gears[J]. Journal of Central South University (Science and Technology), 2017,48(3):644-649(in Chinese)
[8]	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 S H, Yan H Z. Research on tooth surface deviation correction algorithm of spiral bevel gear based on tilting method[J]. China Mechanical Engineering, 2011,22(9):1080-1084(in Chinese)
[9]	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):11-14,19 Yan H Z, Chen S H, Ming X Z, 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):11-14,19(in Chinese)
[10]	聂少武.基于完全共轭的摆线锥齿轮齿面失配设计及修正理论研究[D].西安:西北工业大学,2015:55-68 Nie S W. Study on tooth flank mismatch design and modification theory based on fully conjugated cycloid bevel gears[D]. Xi'an:Northwestern Polytechnical University, 2015:55-68(in Chinese)
[11]	唐进元,曹康,李国顺,等.机床调整参数误差对小轮齿面误差影响规律的理论研究[J].机械工程学报,2010,46(17):179-185 Tang J Y, Cao K, Li G S, et al. Research on the effect law between machine setting parameter errors and hypoid gears surface errors[J]. Journal of Mechanical Engineering, 2010,46(17):179-185(in Chinese)
[12]	王志永.摆线齿锥齿轮数控加工装备及其数字化制造关键技术的研究[D].长沙:中南大学机电工程学院,2010:67-79 Wang Z Y. Research on CNC machining equipment and key technologies of digital manufacturing of Cyclo-palloid spiral bevel gears[D]. Changsha:College of Mechanical and Electrical Engineering of CSU, 2010:67-79(in Chinese)