构造拓扑修形齿面的面齿轮传动主动设计

彭先龙; 胡锡文; 方宗德

构造拓扑修形齿面的面齿轮传动主动设计

1. 西北工业大学机电学院, 西安 710072;
2. 中国核电工程有限公司化工所, 北京 100840

基金项目:

国家自然科学基金（51175423，51375384）

详细信息

作者简介:
彭先龙（1982- ），男，安徽安庆人，博士生，主要从事机械传动方面的研究.

中图分类号: V261.2⁺7;TH132.41
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- 被引次数: 0
出版历程
- 收稿日期: 2013-02-27
- 刊出日期: 2014-05-28

Active design of face gear drive for modifying ease-off topology flank

1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072;
2. Chemical Research Institute, China Nuclear Power Engineering Company Limited, Beijing 100840, China

摘要

摘要: 为了改善加工参数较少的面齿轮传动的啮合性能，提出了用给定的啮合性能对面齿轮和小齿轮齿面进行拓扑修形设计的方法.面齿轮用插齿法加工，面齿轮与插齿刀的转角关系由预设的传动误差确定，由此确定面齿轮的拓扑修形齿面.然后用接触路径的位置及其方向和接触椭圆的大小构造小齿轮的拓扑修形齿面，该齿面用共轭点接触法磨齿加工，建立了小齿轮拓扑修形齿面与加工参数之间的线性方程.结果表明：齿面接触分析（TCA）获得的传动误差、接触路径与预设的传动误差、接触路径相同，TCA仿真的椭圆长度与预设椭圆长度相差范围为0.1752~1.16mm.
- 面齿轮 /
- 啮合性能 /
- 拓扑修形 /
- 主动设计 /
- 齿面接触分析
Abstract: A method to redesign ease-off topology surfaces of pinion and face gear with given meshing performance was proposed to improve the meshing performances of face gear drives with small number of machining parameters.The face gear could be manufactured through shaping,and the pre-designed transmission errors could determine the relationship between the rotation angle of the shaper and the rotation angle of the face gear, thereby forming ease-off topology flank of the face gear.And then the ease-off topology flank of the pinion was calculated according to the location and direction of the pre-designed contact path and the pre-designed size of contact ellipse;finally,a grinding method of conjugation of point contact was used to obtain the ease-off topology flank of the pinion,while the linear equations between machining parameters and calculated ease-off topology flank of the pinion were deduced.The results show that,the transmission error and contact path simulated by tooth contact analysis (TCA) were the same as the pre-designed transmission error and contact path,with the difference between the length of contact ellipse simulated by TCA and the length of pre-designed contact ellipse from 0.1752mm to 1.16mm.
- face gear /
- meshing performance /
- ease-off topology /
- active design /
- tooth contact analysis

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参考文献(15)

[1]	Litvin F L.Gear geometry and applied theory[M].2nd ed.New York:Cambridge University Press, 2004:508-546.
[2]	Litvin F L, Egelja A, Tan J, et al.Handbook on face gear drives with a spur involute pinion[R].NASA/CR-2000-209909, 2000.
[3]	Litvin F L, Fuentes A.Face gear drive with helical involute pinion:geometry, generation by a shaper and a worm, avoidance of singularities and stress analysis[R].NASA/CR-2005-213443, 2005.
[4]	Zanzi C, Pedrero J I.Application of modified geometry of face gear drive[J].Computer Methods in Applied Mechanics and Engineering, 2005, 194(27/28/29):3047-3066.
[5]	Litvin F L, Fuentes A, Zanzi C.Design, generation and stress analysis of two version of geometry of face gear drives[J].Mechanism and Machine Theory, 2002, 37(10):1179-1211.
[6]	Litvin F L, ZHANG Yi.Local synthesis and tooth contact analysis of face milled spiral bevel gears[R].Washington:NASA Center for Aerospace Information, Technical Report 90-C-028, 1991.
[7]	Litvin F L, Gutman Y.Method of synthesis and analysis for hypoid bear-drives of "formate" and "helixform"[J].Journal of Mechanical Design, 1981, 103(83):2015-2021.
[8]	CAO Xuemei, FANG Zongde, XU Hao, et al.Design of pinion machine tool setting for spiral bevel gears by controlling contact path and transmission errors[J].Chinese Journal of Aeronautics, 2008, 21(2):179-186.
[9]	吴训成, 毛世民, 吴序堂.点啮合齿面主动设计研究[J].机械工程学报, 2000, 36(10):70-73. WU Xuncheng, MAO Shimin, WU Xutang.Study on the function-oriented design of point-contact tooth surfaces[J].Chinese Journal of Mechanical Enginerring, 2000, 36(10):70-73.(in Chinese)
[10]	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.
[11]	Kolivand M, Kahraman A.An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations[J].Journal of Mechanical Design, 2010, 132(7):1004-1013.
[12]	彭先龙, 方宗德, 苏进展, 等.采用碟形砂轮的面齿轮磨齿方法理论分析[J].航空动力学报, 2012, 27(5):1159-1165. PENG Xianlong, FANG Zongde, SU Jinzhan, et al.Theory analysis for application grinding disk in face gear grinding[J].Journal of Aerospace Power, 2012, 27(5):1159-1165.(in Chinese)
[13]	Litvin F L, Seol I H, Kim D, et al.Kinematic and geometric models of gear drives[J].Journal of Mechanical Design, 1996, 118(4):544-550.
[14]	Lee C K.Manufacturing process for a cylindrical crown gear drive with a controllable fourth order polynomial function of transmission error[J].Journal of Materials Processing Technology, 2009, 209(1):3-13.
[15]	邓效忠.高重合度弧齿锥齿轮加工参数设计与重合度测定[J].机械工程学报, 2004, 40(6):95-99. DENG Xiaozhong.Design and experiment of spiral bevel gears with high contact ratio[J].Chinese Journal of Mechanical Engineering, 2004, 40(6):95-99.(in Chinese)