吉林大学学报(工学版) ›› 2021, Vol. 51 ›› Issue (5): 1628-1634.doi: 10.13229/j.cnki.jdxbgxb20200410

• 车辆工程·机械工程 • 上一篇    

低速工况下渐开线圆柱直齿轮齿面粘着磨损计算

陈魏1(),雷雨龙1,李兴忠1,付尧1(),扈建龙2,侯利国1   

  1. 1.吉林大学 汽车仿真与控制国家重点实验室，长春 130022
    2.吉林大学 青岛汽车研究院，山东 青岛 266100
  • 收稿日期:2020-06-11 出版日期:2021-09-01 发布日期:2021-09-16
  • 通讯作者: 付尧 E-mail:chenwei16@mails.jlu.edu.cn;fu_yao@jlu.edu.cn
  • 作者简介:陈魏（1991-），男，博士研究生.研究方向：汽车传动系统理论与控制技术.E-mail：chenwei16@mails.jlu.edu.cn
  • 基金资助:
    国家重点研发计划项目(2018YFB0104901);国家国际科技合作专项项目(2014DFA71790);吉林省科技发展计划项目(20170204073GX);青岛市科技计划项目(18-1-2-17-zhc)

Calculation of adhesive wear of involute cylindrical spur gear under low⁃speed conditions

Wei CHEN1(),Yu-long LEI1,Xing-zhong LI1,Yao FU1(),Jian-long HU2,Li-guo HOU1   

  1. 1.State Key Laboratory of Automotive Simulation and Control，Jilin University，Changchun 130022，China
    2.Qingdao Automotive Research Institute，Jilin University，Qingdao 266100，China
  • Received:2020-06-11 Online:2021-09-01 Published:2021-09-16
  • Contact: Yao FU E-mail:chenwei16@mails.jlu.edu.cn;fu_yao@jlu.edu.cn

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摘要：

针对低速工况车辆传动系统中齿轮磨损影响系统寿命问题，基于考虑齿面磨损的载荷分配系数模型和Archard磨损模型，提出了一种适用于渐开线圆柱直齿轮的齿面粘着磨损计算方法。通过与试验数据对比，验证了模型的有效性。进而研究了齿面载荷和磨损因数等因素对齿面磨损深度影响规律，仿真结果表明：渐开线直齿轮节点附近磨损量几乎为零；小齿轮齿根附近齿面磨损最为严重；单、双齿啮合交替区域齿面磨损量相对于其他位置有突变。本文提出的齿面粘着磨损计算模型可以为低速工况齿轮磨损寿命的预测提供理论基础。

关键词: 机械设计及理论, 直齿轮传动, 低速工况, 齿面载荷, 粘着磨损

Abstract:

Aiming at gear wear in the transmission system of vehicles at low speeds， which affects the service life of the transmission system， a calculation method for tooth surface adhesive wear of involute cylindrical spur gears is proposed based on the load distribution coefficient model considering the depth of tooth surface wear and the Archard wear model. The wear amount of the tooth surface of the spur gear was obtained. The evolution rule of the tooth surface wear was studied， and the accuracy of the model was verified by comparison with the published paper. Meanwhile， the effects of tooth surface load and wear factor on the tooth surface wear depth were studied， and the relationship between the two factors was revealed. The tooth surface load will directly affect the wear coefficient and further affect the tooth surface wear depth. The simulation results show that： the wear amount of area near the pitch point of the involute cylindrical spur gear is almost zero； the wear of the tooth surface near the tooth root of the pinion is the most serious； the amount of wear on the tooth surface near the alternating area of single tooth meshing and double tooth meshing has abrupt changes relative to other positions.

Key words: mechanical design and theory, spur gear transmission, low-speed conditions, tooth surface load, adhesive wear

中图分类号: 

  • TH117.1

图1

渐开线直齿轮齿面分配载荷"

图2

沿作用线方向磨损轮齿啮合示意图"

图3

齿轮接触等效模型端面图"

图4

齿轮副的相对滑动摩擦距离"

表1

渐开线直齿轮几何及工作参数"

齿轮几何及工作参数数值
齿数zP/zg16/24
模数m/mm4.5
压力角α0/(°)20
齿宽b/mm14
弹性模量E/Pa2.1×1011
泊松比ν0.3
主动齿轮转速nP/(r?min-1)100
主动齿轮扭矩T/(N?m)302
表面粗糙度均方根Ra_rms/μm0.3

图5

主动轮齿根处磨损深度对比"

图6

齿面载荷分配系数"

图7

啮合齿轮磨损系数"

图8

齿面累积磨损量"

1 Tunalioğlu M Ş, Tuç B. Theoretical and experimental investigation of wear in internal gears[J]. Wear, 2014, 309(1/2): 208-215.
2 周长江, 雷玉英, 汪红兵, 等. 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.
Zhou Chang-jiang, Lei Yu-ying, Wang Hong-bing, et al. Calculation of adhesive wear of helical gear tooth surfaces under quasi-static and dynamic loads[J]. Journal of Mechanical Engineering, 2018, 54(23): 10-22.
3 Ding H. Dynamic wear models for gear systems[D]. Ohio: Graduate School, Ohio State University, 2007.
4 Kuang J H, Lin A D. The effect of tooth wear on the vibration spectrum of a spur gear pair[J]. Journal of Vibration and Acoustics, 2001, 123(3): 311-317.
5 Choy F K, Polyshchuk V, Zakrajsek J J, et al. Analysis of the effects of surface pitting and wear on the vibration of a gear transmission system[J]. Tribology international, 1996, 29(1): 77-83.
6 Archard J F. Contact and rubbing of flat surfaces[J]. Journal of Applied Physics, 1953, 24(8): 981-988.
7 Bajpai P, Kahraman A, Anderson N E. A surface wear prediction methodology for parallel-axis gear pairs[J]. Journal Tribology, 2004, 126(3): 597-605.
8 Dhanasekaran S, Gnanamoorthy R. Gear tooth wear in sintered spur gears under dry running conditions[J]. Wear, 2008, 265(1): 81-87.
9 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: 64-78.
10 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: 自然科学版, 2014, 45(2): 408-413.
Wang Xiao-sun, Wu Shi-jing, Chen Jie, et al. Dynamic wear characteristics of spur gear transmission system considering dynamic load and dynamic wear coefficient[J]. Journal of Central South University (Natural Science Edition), 2014, 45(2): 408-413.
11 张建阁, 刘少军, 方特. 混合润滑下齿面磨损预测研究及试验验证[J]. 华南理工大学学报: 自然科学版, 2018, 46(2): 22-30.
Zhang Jian-ge, Liu Shao-jun, Fang Te. Research and experimental verification of tooth surface wear prediction under mixed lubrication[J]. Journal of South China University of Technology(Natural Science Edition), 2018, 46(2): 22-30.
12 Flodin A. Wear investigation of spur gear teeth[J]. Tribotest, 2000, 7(1): 45-60.
13 Brandão J A, Cerqueira P, Seabra J H O, et al. Measurement of mean wear coefficient during gear tests under various operating conditions[J]. Tribology International, 2016, 102: 61-69.
14 Dhanasekaran S, Gnanamoorthy R. Gear tooth wear in sintered spur gears under dry running conditions[J]. Wear, 2008, 265(1/2): 81-87.
15 Chen Z, Shao Y. Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack[J]. Mechanism and Machine Theory, 2013, 62: 63-74.
16 Põdra P, Andersson S. Wear simulation with the winkler surface model[J]. Wear, 1997, 207(1/2): 79-85.
17 程功, 肖科, 王家序, 等. 混合润滑状态下齿轮接触刚度[J]. 吉林大学学报: 工学版, 2020, 50(2): 484-503.
Cheng Gong, Xiao Ke, Wang Jia-xu, et al. Gear contact stiffness under mixed lubrication status[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 484-503.
18 Wang H, Zhou C, Lei Y, et al. An adhesive wear model for helical gears in line-contact mixed elastohydrodynamic lubrication[J]. Wear, 2019, 426: 896-909.
19 Priest M, Taylor C M. Automobile engine tribology—approaching the surface[J]. Wear, 2000, 241(2): 193-203.
20 Dowson D. Modelling of elastohydrodynamic lubrication of real solids by real lubricants[J]. Meccanica, 1998, 33(1): 47-58.
21 Janakiraman V, Li S, Kahraman A. An investigation of the impacts of contact parameters on wear coefficient[J]. Journal of Tribology, 2014, 136(3): 031602.
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