Dynamic Wear Characteristics of Tooth Profile of RV Reducer for Industrial Robot

doi:10.12141/j.issn.1000-565X.220047

Abstract

Abstract:

In order to overcome the difficulty in accurate prediction of the dynamic wear of tooth profile of precision RV reducer for industrial robot, this paper took BX-40E reducer as an example, obtained the wear coefficients under different position conditions through equivalent experiment based on the generalized Archard wear formula, with the consideration of the influence of different position conditions after the wear evolution in the wear prediction process. According to the deformation coordination theory and Langkali-Nikraves contact force model, the load distribution and contact pressure between teeth were determined. Considering the time-varying tooth profile wear and meshing force excitation, the numerical calculation model of dynamic tooth profile wear of transmission system was established by analytical modeling method. As compared with the tooth profile wear curve with the constant wear coefficient, both the wear value and the tooth surface distribution are significantly different, and the overall difference increases with the increase of wear times. The accuracy and necessity of quantifying the tooth surface wear with the wear coefficient taking into account the difference of contact position conditions were obtained. The wear depth curve of cycloid gear and needle teeth presents an asymmetric and irregular inverted “W” shape along the tooth profile. Due to the wear, the teeth near the tooth root and tooth top first fall off and then mesh, resulting in impact and micro protrusion peak. There is almost no wear at the concave convex transition position of cycloid tooth profile. With the increase of wear times, the wear peak area becomes narrower, and the non-uniform increase of wear rate slows down. There is a functional mapping relationship between the meshing force and the pressure angle. The results of the study provide a theoretical basis for improving the wear reduction and vibration reduction of cycloidal needle gear.

Key words: RV reducer, wear coefficient, cycloid needle gear, tooth profile, dynamic wear, Langkali-Nikraves contact model

CLC Number:

TH132

ZHOU Jianxing, ZHANG Ronghua, ZENG Qunfeng, et al. Dynamic Wear Characteristics of Tooth Profile of RV Reducer for Industrial Robot[J]. Journal of South China University of Technology(Natural Science Edition), 2023, 51(1): 22-30.

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References 20

1	刘义才，高俊．工业机器人产业发展现状与对策研究［J］．中国商论，2021（18）：174-176．
	LIU Yicai， Gao Jun ．Research on the development status and countermeasures of industrial robot industry［J］．China Business Theory，2021（18）：174-176．
2	JOCHEN S， CLAUDIO Z， RUSTAM S ．Let’s push things forward：a survey on robot pushing［J］．Frontiers in Robotics and AI，2020，7：8/1-18．
3	殷埝生．我国工业机器人发展现状及未来发展探究［J］．中国新通信，2020，22（20）：135-136．
	YIN Niansheng ．Research on the development status and future development of industrial robots in China［J］．China New Communications，2020，22（20）：135-136．
4	沈智宪，乔百杰，罗巍，等．齿轮磨损故障动态响应特征与诊断指标研究［J］．机械工程学报，2021，57（17）：120-131．
	SHEN Zhixian， QIAO Baijie， LUO Wei，et al ．Study on dynamic response characteristics and diagnosis indexes of gear wear fault［J］．Journal of Mechanical Engineering，2021，57（17）：120-131．
5	PHAM A D， AHN H J ．Efficiency analysis of a cycloid reducer considering tolerance［J］．Journal of Friction and Wear，2017，38（6）：490-496．
6	机器人用精密行星摆线减速器：［S］．
7	XU H， SHI Z Y， YU B，et al ．Optimal measurement speed and its determination method in the transmission precision evaluation of precision reducers［J］．Applied Sciences，2019，9（10）：1-11．
8	陆龙生，张飞翔，唐恒，等．基于优化承载能力的RV减速器摆线齿轮齿廓的等距-移距修形［J］．中国机械工程，2019，30（17）：2022-2029．
	LU Longsheng， ZHANG Feixiang， TANG Heng，et al ．Isometric shift modification of cycloidal gear profile of RV reducer based on optimized bearing capacity［J］．China Mechanical Engineering，2019，30（17）：2022-2029．
9	REN Z， MAO S， GUO W，et al ．Tooth modification and dynamic performance of the cycloidal drive［J］．Mechanical Systems and Signal Processing，2017，85：857-866．
10	LIN K S， CHAN K Y， LEE J J ．Kinematic error analysis and tolerance allocation of cycloidal gear reducers［J］．Mechanism and Machine Theory，2018，124：73-91．
11	HSIEH C F， ALFONSO F A ．Performance prediction method of cycloidal speed reducers［J］．Journal of the Brazilian Society of Mechanical Sciences and Engineering，2019，41（4）：1-15．
12	WANG H， SHI Z Y， YU S B，et al ．Transmission performance analysis of RV reducers influenced by profile modification and load［J］．Applied Sciences，2019，9（19）：1-19．
13	QIAO X T， AHANG L b， CHEN C S，et al ．Study on transient contact performance of meshing transmission of cycloid gear and needle wheel in RV reducer［J］．The Journal of Engineering，2020，2020（14）：1001-1004．
14	XU L X， CHEN B K， LI C Y ．Dynamic modelling and contact analysis of bearing-cycloid-pinwheel transmission mechanisms used in joint rotate vector reducers［J］．Mechanism and Machine Theory，2019，137：432-458．
15	郑钰馨，奚鹰，李梦如，等．基于密切值法的RV减速器传动受力影响分析［J］．中国工程机械学报，2017，15（2）：153-157，164．
	ZHENG Yuxin， XI Ying， LI Mengru，et al ．Analysis of transmission force influence of RV reducer based on osculating value method［J］．Chinese Journal of Construction Machinery，2017，15（2）：153-157，164．
16	黄彬，常安全，潘安霞，等．机器人用关节减速器的失效分析及改善措施［J］．金属热处理，2021，46（2）：223-227．
	HUANG Bin， CHANG Anquan， PAN Anxia，et al ．Failure analysis and improvement measures of joint reducer for robot［J］．Metal Heat Treatment，2021，46（2）：223-227．
17	苏建新，李晨．RV减速器摆线轮磨损量的数值计算与分析［J］．机械传动，2021，45（4）：41-45，57．
	SU Jianxin， LI Chen ．Numerical calculation and analysis of cycloidal gear wear of RV Reducer［J］．Mechanical Transmission，2021，45（4）：41-45，57．
18	ARCHARD J F ．Contact and rubbing of flat surfaces［J］．Journal of Applied Physics，1953，24：981-988．
19	LANKARANI H M， NIARAVESH P E ．A contact force model with hysteresis damping for impact analysis of multibody systems［J］．Journal of Mechanical Design，1990，112（3）：369-376．
20	MA J， QIAN L f， CHEN G S，et al ．Dynamic analysis of mechanical systems with planar revolute joints with clearance［J］．Mechanism and Machine Theory，2015，94：148-164．

参数	取值或规格	参数	取值或规格
摆线轮齿数	39	摆线针齿齿宽/mm	15
针齿轮齿数	40	滚滑比	1
针齿半径/mm	3	摆线轮节圆半径/mm	50.7
中心圆半径/mm	69.5	节圆半径/mm	52
偏心距/mm	1.3	输出转速/（r·min^-1）	300
短幅系数	0.748 2	输入扭矩/（N·m）	412
二级传动比	40	材料	GCr15
太阳轮齿数	16	行星轮齿数	32
太阳轮齿宽/mm	9	行星轮齿宽/mm	9
中心距/mm	36	压力角/（°）	20
材料	17CrNiMo6	模数/mm	1.5

参数	规格或取值
参数	上试件（销）	下试件（盘）
压载/N	20 40 60 80
材料	GCr15	GCr15
弹性模量/MPa	2.19×10⁵	2.19×10⁵
密度/（kg·m^-3）	7.83×10⁶	7.83×10⁶
表面粗糙度（R_a）	3.2	3.2
直径/mm	5	50
转速/（r·min^-1）	—	30

[1]	WU Shangsheng SUN Hanlei YANG Qi. Design and Manufacturing Technology of Flexspline's Spatial Tooth Profile in Harmonic Drive [J]. Journal of South China University of Technology (Natural Science Edition), 2019, 47(1): 32-38,85.
[2]	LU Longsheng ZHANG Feixiang WAN Zhenping TANG Yong. Cycloidal Gear Tooth Profile Modification of RV Reducer Based on Backlash-Optimized [J]. Journal of South China University of Technology (Natural Science Edition), 2018, 46(9): 1-8.
[3]	Li Zheng-min-qing Zhu Ru-peng . Investigation into Geometrical Design of Tooth Profile and Undercut for Orthogonal Face Gear [J]. Journal of South China University of Technology (Natural Science Edition), 2008, 36(2): 78-82.