椭圆齿轮传动系统齿面接触与动态磨损分析

doi:10.13229/j.cnki.jdxbgxb20200538

Abstract

Abstract:

In order to obtain the dynamic wear characteristics of elliptic gears， a pair of elliptic gears is taken as the research object. Based on Hertz contact theory and Arcard wear calculation formula， the calculation model of contact stress and wear of elliptic gears is established， and the numerical calculation method is used to simulate the contact stress and wear distribution at the meshing point. The distribution of the contact stress and the wear of the tooth surface with the pressure angle of the tooth profile under different design parameters and working conditions are obtained. The analysis shows that the contact stress of the tooth surface will change suddenly in the alternate region of single and double teeth engagement. With the increase of eccentricity and torque， the contact stress of the tooth surface presents an increasing trend. The amount of tooth surface wear decreases first and then increases from the root to the top of the tooth， and tends to zero in the pitch circle treatment. The amount of tooth surface wear increases with the increase of eccentricity， input torque and rotation speed. Therefore， under the condition of satisfying the given requirements and motion rules， reducing the eccentricity， input torque and rotation speed is conducive to reducing the tooth surface wear. The research results can provide some guidance for the subsequent non-circular gear dynamic wear analysis and gear tooth modification.

Key words: mechanical manufacture and automation, elliptic gear, eccentricity, pressure angle, contact stress, gear wear

CLC Number:

TH132.424

Yong-ping LIU,Chang-bin DONG,Yong-qiao WEI. Analysis of tooth surface contact and dynamic wear of elliptic gear transmission system[J].Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1620-1627.

Figures/Tables 12

Fig.1

Fig.2

Fig.3

Fig.4

Table 1

Elliptic gear design parameters"

名称	数值
模数m	3
齿数Z	47
中心距a/mm	145
齿顶高系数h_a^*	1
顶隙系数C^*	0.25
齿宽b/mm	30
偏心率e	0.3287
节曲线方程r	$r = 64.667 1 ± 0.3287 c o s θ$

Table 1

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

References 16

1	Smith W C. The math of noncircular gearing[J]. Gear Technology, 2000, 17(4): 18-21.
2	董长斌, 刘永平, 魏永峭. 不同载荷条件下椭圆柱齿轮动态接触特性分析[J]. 华中科技大学学报: 自然科学版, 2019, 47(8): 103-107.
	Dong Chang-bin, Liu Yong-ping, Wei Yong-qiao. Dynamic contact characteristics analysis of elliptic cylinder gear under different load conditions[J]. Journal of Huazhong University of Science and Technology(Natural Science Edition), 2019, 47(8): 103-107.
3	李波涛, 陈定方. 非圆齿轮设计、制造、检测及应用[J]. 机械工程学报, 2020, 56(9): 55-72.
	Li Bo-tao, Chen Ding-fang. Design, manufacture, inspection and application of non-circular gears[J].Journal of Mechanical Engineering,2020,56(9):55-72.
4	董长斌, 刘永平, 魏永峭, 等. 椭圆齿轮传动系统非线性动态特性分析[J]. 吉林大学学报: 工学版, 2020, 50(2): 483-493.
	Dong Chang-bin, Liu Yong-ping, Wei Yong-qiao, et al. Analysis of nonlinear dynamic characteristic of elliptic gear transmission system[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 483-493.
5	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): 24-36.
	Zhou Chang-jiang, Lei Yu-ying, Wang Hong-bing, et al. Adhesive wear models for helical gears under quasi-static and dynamic loads[J]. Journal of Mechanical Engineering, 2018, 54(23): 24-36.
6	潘冬, 赵阳, 李娜, 等. 齿轮磨损寿命预测方法[J]. 哈尔滨工业大学学报, 2012, 44(9): 29-33, 39.
	Pan Dong, Zhao Yang, Li Na, et al. The wear life prediction method of gear system[J]. Journal of Harbin Institute of Technology, 2012, 44(9): 29-33, 39.
7	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 Shi-yuan, Lu Qing, et al. Quasi-static-model-based wear analysis of spur gears[J]. Journal of Mechanical Engineering, 2017, 53(5): 136-145.
8	Archard J F. Contact and rubbing of flat surfaces[J]. Journal of Applied Physics, 1953, 24(8): 981-998.
9	Wu S, Cheng H S. A sliding wear model for partial-EHL contacts[J]. Journal of Tribology, 1991, 113(1): 134.
10	Wu S, Cheng H S. Sliding wear calculation in spur gears[J].Journal of Tribology,1993,115(3): 493-500.
11	Zhang J, Liu X Z. Effects of misalignment on surface wear of spur gears[J]. Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology, 2015, 229(9): 1-14.
12	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 surface wear characteristics in spur gear transmission system with dynamic loads and wear coefficients[J]. Journal of Central South University(Science and Technology), 2014, 45(2): 408-413.
13	何泽银,唐伟迤,林腾蛟,等.增速齿轮副非均匀磨损时变啮合刚度研究[J].机械传动,2019,43(12): 1-6.
	He Ze-yin, Tang Wei-yi, Lin Teng-jiao, et al. Study on the time-varying mesh stiffness of speed-increasing gear pair with non-uniform wear[J]. Journal of Mechanical Transmission, 2019, 43(12): 1-6.
14	胡波, 黄平. 渐开线直齿圆柱齿轮磨损的数值计算与分析[J]. 润滑与密封, 2017, 42(12): 23-28, 33.
	Hu Bo, Huang Ping. Numerical calculation and analysis of wear behavior of involute spur gear[J]. Lubrication Engineering, 2017, 42(12): 23-28, 33.
15	Litvin F L. Noncircular Gears: Design and Generation[M]. Canbridge: Cambridge University Press, 2009.
16	林超, 刘毅, 魏艳群, 等. 端曲面齿轮副复合运动规律及受力分析[J]. 吉林大学学报: 工学版, 2017, 47(1): 157-162.
	Lin Chao, Liu Yi, Wei Yan-qun, et al. Composite motion law and force condition of curve-face gear pair[J]. Journal of Jilin University(Engineering and Technology Edition), 2017, 47(1): 157-162.

Related Articles 15

[1]	Chang-bin DONG,Yong-ping LIU,Yong-qiao WEI,Hai-qing DENG,Jie Xu. Analysis of nonlinear dynamic characteristic of elliptic gear transmission system [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 483-493.
[2]	REN Qing-lei, WEI Xin, XIE Xiao-zhu, HU Wei. Micro contact mechanism based on force in self rotation grinding of silicon wafer [J]. 吉林大学学报(工学版), 2018, 48(3): 796-802.
[3]	DONG Li-chun, HAN Zhi-wu, ZHANG Lei, NIU Shi-chao, MA Rong-feng, REN Lu-quan. Numerical simulation on contact problem of ring model with bionic concave morphology [J]. 吉林大学学报(工学版), 2013, 43(增刊1): 543-546.
[4]	TONG Jin, WANG Ya-hui, LU Ji-sheng, ZHANG Shu-jun, CHEN Dong-hui. Coaxiality measurement of large-size forged components based on CCD [J]. 吉林大学学报(工学版), 2013, 43(04): 945-950.
[5]	ZHANG Hua-jun, HUANG Qing-xue, QUAN Long. Servo control of the composite controller based on combined given curve [J]. 吉林大学学报(工学版), 2013, 43(02): 346-351.
[6]	SHI Yong-jie, ZHENG Di, HU Li-yong, WANG Long-shan. Force-position-posture decoupling technique for NC polishing of aspherical part [J]. 吉林大学学报(工学版), 2012, 42(01): 116-121.
[7]	ZHANG Ying-zhi, ZHENG Rui, SHEN Gui-xiang, WANG Zhi-qiong, LI Huai-yang, et al. Failure dependency of CNC equipment based on copula theory [J]. 吉林大学学报(工学版), 2011, 41(6): 1636-1640.
[8]	REN Di, WANG Zu-Wen, BAO Gang, YANG Qing-Jun. Static characteristic for \|newstyle high stiffness externally pressurized spherical gas bearings [J]. 吉林大学学报(工学版), 2010, 40(06): 1599-1603.
[9]	KONG Fan-Sen, LIU Peng, CAO Yang-Hua, DAN Jin-Dan. Fuzzy comprehensive evaluation on work environment in a gearbox plant [J]. 吉林大学学报(工学版), 2010, 40(02): 475-0479.
[10]	CHEN Jun, HU Ping, MA Li-Li. Time buffer control mechanism based on drumbufferrope for remanufacturing system [J]. 吉林大学学报(工学版), 2009, 39(05): 1197-1201.
[11]	ZHAO Yang, ZHAO Ji, ZHANG Lei, JI Li-Zhe. Robotic blade grinding based on reverse engineering [J]. 吉林大学学报(工学版), 2009, 39(05): 1176-1180.
[12]	MENG Ling-qi，DU Yong,MA Sheng-biao，GUO Bin . Nonlinearity of vertical vibration of medium plate mill [J]. 吉林大学学报(工学版), 2009, 39(03): 712-0715.
[13]	JI Shi-jun, WANG Yang, Lv Han-ming . Parametrization of 3D foursided region on triangular mesh model [J]. 吉林大学学报(工学版), 2009, 39(02): 458-0462.
[14]	LI Jing-cai，WANG Tai-yong，HE Gai-yun，ZHENG Hui-jiang，FAN Sheng-bo . 3D solid accurate modeling of spiral bevel gear based on manufacture method and meshing theory [J]. 吉林大学学报(工学版), 2008, 38(06): 1315-1319.
[15]	He Qiu-wei;Wang Long-shan;Yu Zhong-dang;Li Guo-fa;Gao Li-guo. Defect detection for microgear based on image processing and support vector machine [J]. 吉林大学学报(工学版), 2008, 38(03): 565-0569.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 0

No Suggested Reading articles found!

Analysis of tooth surface contact and dynamic wear of elliptic gear transmission system

RICH HTML

PDF (PC)