机械工程学报 >

2018 , Vol. 54 >Issue 23: 10 - 22

DOI: https://doi.org/10.3901/JME.2018.23.010

机构学及机器人

准静态与动态载荷下斜齿轮齿面粘着磨损计算

  • 周长江 ,
  • 雷玉英 ,
  • 汪红兵 ,
  • 韩旭
展开
  • 1. 湖南大学汽车车身先进设计制造国家重点实验室 长沙 410082;
    2. 中南大学高性能复杂制造国家重点实验室 长沙 410083
雷玉英,男,1990年出生,硕士研究生。主要研究方向为传动摩擦学。E-mail:leiyy@hnu.edu.cn;汪红兵,男,1992年出生,博士研究生。主要研究方向为传动摩擦学。E-mail:whb@hnu.edu.cn;韩旭,男,1968年出生,教授,博士研究生导师。主要研究方向为计算力学、机械设计及理论。E-mail:hanxu@hnu.edu.cn

收稿日期: 2017-12-25

  修回日期: 2018-05-31

  网络出版日期: 2018-12-05

基金资助

国家自然科学基金（51675168）和湖南省重点研发计划（2016JC2001）资助项目。

收起

Adhesive Wear Models for Helical Gears under Quasi-static and Dynamic Loads

  • ZHOU Changjiang ,
  • LEI Yuying ,
  • WANG Hongbing ,
  • HAN Xu
Expand
  • 1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082;
    2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083

Received date: 2017-12-25

  Revised date: 2018-05-31

  Online published: 2018-12-05

Fold

摘要

基于反向圆锥滚子等效接触模型和Archard磨损计算通式，提出了一种适用于标准斜齿轮齿面粘着磨损的计算方法。由时变接触线长百分比和弯-扭-轴耦合动力学模型确定齿面载荷，根据等效接触模型和Hertz接触理论计算齿面压力和滑移距离，求出准静态与动态载荷下的齿面磨损量。通过将主动轮磨损曲线与相关文献结果比较，验证了上述方法的正确性。几何与工作参数对磨损量的影响分析显示，齿根与齿顶处的磨损量较大，且齿根的磨损量大于齿顶，节圆处的磨损量趋近于零；齿轮前端面至后端面，主动轮磨损量逐渐减小而从动轮磨损量逐渐增大；宽齿轮的磨损量沿齿宽渐趋均布。参数分析表明：增大模数、传动比、齿宽或减小扭矩均可降低磨损量，增大螺旋角或改变转速对减小齿面磨损的作用不明显。上述研究对于提高齿轮表面质量与传动性能，对于减磨设计具有一定的参考价值。

关键词： 斜齿轮传动; 粘着磨损; 齿面磨损量; 准静态与动态载荷; 参数分析

本文引用格式

周长江 , 雷玉英 , 汪红兵 , 韩旭 . 准静态与动态载荷下斜齿轮齿面粘着磨损计算[J]. 机械工程学报, 2018 , 54(23) : 10 -22 . DOI: 10.3901/JME.2018.23.010

Abstract

According to the equivalent contact model of tapered rollers in opposite orientation and Archard's wear formula, a new adhesive wear model for helical gears is proposed in this work. Face loads are firstly determined by the time-varying contact ratio and bending-torsion-shaft coupling dynamic model of the helical gear drive, and then the tooth pressure and the sliding distance are evaluated based on the equivalent contact model and Hertz's theory. Thereafter, the wear depth is computed under quasi-static and dynamic loads. The presented method is verified by the comparative wear depth curves from this work and the published papers, and effects of the major geometrical and working parameters on the wear depth are investigated. The results show that larger wear depths are generated at the root and the tip, while the wear depth at the root is larger than the one at the tip, and that it trends to zero at the pitch line. From front transverse plane to rear one of the driving pinion or driven gear, the wear depth of the pinion becomes smaller whereas that of the gear turns larger. However, the wear depth of wide-faced helical gears trends to a uniform along face width. Additionally, the parameters analysis show that the wear depth decreases as modules, transmission ratios, face widths or input torques are increased, while helical angle or rotational speed variation has little influence on wear depth reduction. It is also indicated that accurate determination of the wear depth and rational match of the geometry and working parameters are valid in gear surface quality and transmission performance enhancement, and to wear resistance in engineering design.

Key words： helical gear drive; adhesive wear; wear depth; quasi-static and dynamic loads; parameters analysis

参考文献

[1] HANDSCHUH R,KILMAIN C. Experimental study of the influence of speed and load on thermal behavior of high-speed helical gear trains[R]. Washington:NASA/TM-2005-213632,2005.
[2] 熊党生,李建亮. 高温摩擦磨损与润滑[M]. 西安:西北工业大学出版社,2013. XIONG Dangsheng,LI Jianliang. High temperature friction wear and lubrication[M]. Xi'an:Northwestern Polytechnical University Press,2013.
[3] GÅÅRD A,HALLBÄCK N,KRAKHMALEV P,et al. Temperature effects on adhesive wear in dry sliding contacts[J]. Wear,2010,268(7-8):968-975.
[4] DING H. Dynamic wear models for gear systems[D]. Ohio:The Ohio State University,2007.
[5] HU C,SMITH W A,RANDALL R B,et al. Development of a gear vibration indicator and its application in gear wear monitoring[J]. Mechanical Systems & Signal Processing,2016,76-77:319-336.
[6] BRANDÃO J A,MARTINS R,SEABRA J H O,et al. An approach to the simulation of concurrent gear micropitting and mild wear[J]. Wear,2015,324(2):64-73.
[7] 格利布. 数值法解摩擦学技术问题[M]. 北京:机械工业出版社,1989. ГРИБ B B. Numerical method for solving tribological problems[M]. Beijing:China Machine Press,1989.
[8] FLODIN A,ANDERSON S. Simulation of mild wear in spur gears[J]. Wear,1997,207(1-2):16-23.
[9] FLODIN A,ANDERSON S. Simulation of mild wear in helical gears[J]. Wear,2000,241(2):123-128.
[10] FLODIN A,ANDERSON S. A simplified model for wear prediction in helical gears[J]. Wear,2001,249(3):285-292.
[11] BAJPAI P,KAHRAMAN A,ANDERSON N E. A surface wear prediction methodology for parallel-axis gear pairs[J]. Journal of Tribology,2004,126(3):597-605.
[12] PRIEST M,TAYLOR C M. Automobile engine tribology-approaching the surface[J]. Wear,2000,241(2):193-203.
[13] PARK D,KOLIVAND M,KAHRAMAN A. An approximate method to predict surface wear of hypoid gears using surface interpolation[J]. Mechanism and Machine Theory,2014,71(1):64-78.
[14] 李宝良,江亲瑜. 渐开线齿轮轮齿表面磨损规律的理论与实验研究[J]. 润滑与密封,2006(6):26-28. LI Baoliang,JIANG Qinyu. Theory and test research on wearing rules for involute gear tooth surface[J]. Lubrication Engineering,2006(6):26-28.
[15] 张俊,卞世元,鲁庆,等. 准静态工况下渐开线直齿轮齿面磨损建模与分析[J]. 机械工程学报,2017,53(5):136-145. ZHANG Jun,BIAN Shiyuan,LU Qing,et al. Quasi-static-model-based wear analysis of spur gears[J]. Journal of Mechanical Engineering,2017,53(5):136-145.
[16] WU S,CHENG H S. Sliding wear calculation in spur gears[J]. Journal of Tribology,1993,115(3):493-500.
[17] LIU X,YANG Y,ZHANG J. Investigation on coupling effects between surface wear and dynamics in a spur gear system[J]. Tribology International,2016,101(9):383-394.
[18] ATANASIU V,OPRISAN C,LEOCHI D. The effect of tooth wear on the dynamic transmission error of helical gears with smaller number of pinion teeth[J]. Applied Mechanics & Materials,2014,657:649-653.
[19] KAHRAMAN A,DING H. A methodology to predict surface wear of planetary gears under dynamic conditions[J]. Mechanics Based Design of Structures and Machines,2010,38(4):493-515.
[20] OSMAN T,VELEX P. Static and dynamic simulations of mild abrasive wear in wide-faced solid spur and helical gears[J]. Mechanism & Machine Theory,2010,45(6):911-924.
[21] 王晓笋,巫世晶,陈杰,等. 考虑动载荷与动态磨损系数的直齿轮传动系统动态磨损特性[J]. 中南大学学报,2014,45(2):408-413. WANG Xiaosun,WU Shijing,CHEN Jie,et al. Dynamic surface wear characteristics in spur gear transmission system with dynamic loads and wear coefficients[J]. Journal of Central South University,2014,45(2):408-413.
[22] BERGSETH E,OLOFSSON U,LEWIS R,et al. Effect of gear surface and lubricant interaction on mild wear[J]. Tribology Letters,2012,48(2):183-200.
[23] SCHULTHEISS H,TOBIE T,MICHAELIS K,et al. The slow-speed wear behavior of case-carburized gears lubricated with NLGI 00 grease under boundary lubrication conditions[J]. Tribology Transactions,2014,57(3):524-532.
[24] 石照耀,康焱,林家春. 基于齿轮副整体误差的齿轮动力学模型及其动态特性[J]. 机械工程学报,2010,46(17):55-61. SHI Zhaoyao,KANG Yan,LIN Jiachun. Comprehensive dynamics model and dynamic response analysis of a spur gear pair based on gear pair integrated error[J]. Journal of Mechanical Engineering,2010,46(17):55-61.
[25] 任朝晖,谢吉祥,周世华,等. 斜齿轮-转子-轴承弯扭轴耦合振动特性分析[J]. 机械工程学报,2015,51(15):75-89. REN Chaohui,XIE Jixiang,ZHOU Shihua,et al. Vibration characteristic analysis of helical gear-rotor-bearing system with coupled lateral-torsional-axial[J]. Journal of Mechanical Engineering,2015,51(15):75-89.
[26] 冯松,毛军红,谢友柏. 齿面磨损对齿轮啮合刚度影响的计算与分析[J]. 机械工程学报,2015,51(15):27-32. FENG Song,MAO Junhong,XIE Youbai. Analysis and calculation of gear mesh stiffness with tooth wear[J]. Journal of Mechanical Engineering,2015,51(15):27-32.
[27] LITVIN F L,FUENTES A. Gear geometry and applied theory[M]. Cambridge:Cambridge University Press,2004.
[28] YANG P,YANG P. Analysis on the thermal elastohydrodynamic lubrication of tapered rollers in opposite orientation[J]. Tribology International,2007,40(10):1627-1637.
[29] ARCHARD J F,ANDERSON S. Contact and rubbing of flat surfaces[J]. Journal of Applied Physics,1953,24(8):981-988.
[30] 苑士华,董辉立,李雪原. 基于MEPE和EHL理论的渐开线斜齿轮啮合特性分析[J]. 摩擦学学报,2012,32(3):286-290. YUAN Shihua,DONG Huili,LI Xueyuan. Contact analysis of helical gears based on MEPE and EHL theories[J]. Tribology,2012,32(3):286-290.
Options
文章导航

/

〈 〉

版权所有 © 《机械工程学报》编辑部

技术支持：北京玛格泰克科技发展有限公司