弧线齿面齿轮齿面接触分析

doi:CNKI:11-1929/V.20101111.0914.025

材料工程与机械制造

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弧线齿面齿轮齿面接触分析

苏进展, 方宗德, 崔艳梅

西北工业大学机电学院, 陕西西安 710072

收稿日期:2010-05-31 修回日期:2010-07-16 出版日期:2011-03-25 发布日期:2011-03-24
通讯作者: Tel.: 029-88493958 E-mail: fauto@nwpu.edu.cn E-mail:fauto@nwpu.edu.cn
作者简介:苏进展(1982- ) 男,博士研究生。主要研究方向:齿轮先进设计、制造与分析。 Tel: 029-88493958 E-mail: sujinzhan@mail.nwpu.edu.cn;方宗德(1948- ) 男,教授,博士生导师。主要研究方向:机械系统动力学、机械设计、车辆工程等。 Tel: 029-88493958 E-mail: fauto@nwpu.edu.cn
基金资助:
国家自然科学基金 (50875211)

Tooth Contact Analysis on Face Gears with Arcuate Tooth

SU Jinzhan, FANG Zongde, CUI Yanmei

School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China

Received:2010-05-31 Revised:2010-07-16 Online:2011-03-25 Published:2011-03-24

摘要/Abstract

摘要： 为了提高面齿轮副的强度并解决其磨齿问题,提出了弧线齿面齿轮副的一种新的加工方法,并研究其啮合特性。用有刀倾的刀盘旋转而成的切削面作为假想齿轮的齿面,模拟产形齿轮和被加工齿轮啮合过程,推导弧线齿面齿轮副齿面方程;根据两齿面在啮合过程中连续相切条件,建立了考虑安装误差的轮齿接触分析(TCA)模型;齿轮副计算机啮合仿真结果表明,刀倾角、产形齿轮齿数、刀尖半径等加工参数和安装误差向量对啮合迹线和接触椭圆等参数影响较大。齿轮副的凹凸齿面有利于提高齿轮副强度,用现有砂轮和数控机床可实现面齿轮加工。

关键词: 弧线齿面齿轮, 齿轮接触分析, 产形齿轮, 接触椭圆, 安装误差

Abstract: To improve tooth strength and make tooth grinding implement for face gear, a new generating method of face gear drive has been proposed, and the meshing characteristics are investigated. First, the tooth surface of imaginary gear is formed by a rotary cutting surface of cutter head with a tilted angle. The meshing process of the imaginary gear and manufactured gear is simulated, and the tooth surface mathematics model of face gear drive has been deduced. Then the tooth contact analysis model which considers the assemble errors is established under the conditions of continuous tangency of two contact surfaces. The computerized simulation of meshing and contact shows that, the machine settings of initial tilted angle, the number of imaginary tooth, cutter head radius and the vectors of assembly errors have a significant effect on the contact path and contact ellipse. The concave and convex of face gear tooth surface benefits gear strength, and the grinding process can be conducted on the general wheel and numerical control machine.

Key words: face gear with arcuate tooth, tooth contact analysis, imaginary gear, contact ellipses, assembly errors

中图分类号:

TH132

苏进展, 方宗德, 崔艳梅. 弧线齿面齿轮齿面接触分析[J]. 航空学报, 2011, 32(3): 546-551.

SU Jinzhan, FANG Zongde, CUI Yanmei. Tooth Contact Analysis on Face Gears with Arcuate Tooth[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011, 32(3): 546-551.

参考文献

[1] Hendrik K, Emmeloord N. Face gear transmission:US, 4744263. 1998-05-17. [2] Litvin F L, Fuentes A, Howkins M. Design, generation and TCA of new type of asymmetric face-gear drive with modified geometry[J]. Computer Methods Applied Mechanics and Engineering, 2001, 190(43-44): 5837-5865. [3] Lewicki D G, Handschuh R F, Heath G F, et al. Evaluation of carburized and ground face gears. NASA/TM-1999-209188, ARL2-442, 1999. [4] Guingand M, Vaujany J P, Icard Y. Analysis and optimization of the loaded meshing of face gears[J]. Journal of Mechanical Design, Transaction of the ASME, 2005, 127(1): 135-143. [5] Litvin F L, Zhang Y, and Wang J C. Design and geometry of face-gear drive[J]. Journal of Mechanical Design, Transactions of the ASME, 1992, 114(4): 642-647. [6] Litvin F L, Egelja A. Handbook on face gear drives with a spur involute pinion. NASA/CR-2000-209909, NCC3-356, 2000. [7] Litvin F L, Fuentes A, Zanzi C, et al. Design, generation, and stress analysis of two versions of geometry of face-gear drives[J]. Mechanism and Machine Theory, 2002, 37(10): 1179-1211. [8] Bibel G. Procedure for tooth contact analysis of face gear meshing with a spur gear using finite element analysis. NASA/CR-2002-211277, NCC3-904, 2002. [9] Litvin F L, Gonzalez-Perez I, Fuentes A, et al. Design, generation and stress analysis of face-gear drive with helical pinion[J]. Computer Methods Applied Mechanics and Engineering, 2005, 194(36-38): 3870-3901. [10] 方宗德,沈云波. 弧线齿面齿轮副及其加工方法: 中国,200710017256. 2010-04-23. Fang Zongde, Shen Yunbo. Face gears with arcuate tooth and manufacture method: China, 2007100172563. 2010-04-23. (in Chinese) [11] 方宗德,曹雪梅,沈云波. 弧线齿面齿轮的齿面设计与加工[J]. 航空动力学报,2010,25(1): 224-227. Fang Zongde, Cao Xuemei, Shen Yunbo. Tooth surface design and manufacture for arcuate tooth trace face-gear[J]. Journal of Aerospace Power, 2010, 25(1): 224-227. (in Chinese) [12] 苏进展, 方宗德,曹雪梅. 成形法加工的弧线齿面齿轮几何接触分析[J]. 航空动力学报,2010,25(6):1427-1431. Su Jinzhan, Fang Zongde, Cao Xuemei. Tooth contact analysis of face gear drive with curvilinear shaped tooth by format cutting[J]. Journal of Aerospace Power, 2010, 25(6): 1427-1431. (in Chinese) [13] 沈云波,方宗德,赵宁, 等. 齿廓方向修形的斜齿面齿轮啮合特性研究[J]. 中国机械工程,2008,19(18):2219-2222. Shen Yunbo, Fang Zongde, Zhao Ning, et al. Meshing performance of modified face gear drive with helical pinion in the profile direction[J]. China Mechanical Engineering, 2008, 19(18): 2219-2222. (in Chinese) [14] Litvin F L, Fuentes A, Zanzi C, et al. Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2002, 191(25-26): 2785-2813. [15] Litvin F L. Gear geometry and applied theory[M]. New Jersey: Prentice Hall, 1994.

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弧线齿面齿轮齿面接触分析

Tooth Contact Analysis on Face Gears with Arcuate Tooth

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