谐波减速器研究现状及问题研究

向珍琳; 李霆; 杨林; 尚应荣

doi:10.16578/j.issn.1004.2539.2020.07.025

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谐波减速器研究现状及问题研究

综述 | 更新时间：2022-10-20

- 谐波减速器研究现状及问题研究
- Study on Status and Problem Research of Harmonic Gear Drive
- 机械传动 2020年44卷第7期页码：151-162
- 作者机构：
  
  1.五邑大学智能制造学部，广东江门 529030
  2.佛山智能装备研究院，广东佛山 528200
- 作者简介：
  
  向珍琳（1992— ），男，湖南岳阳人，硕士研究生，主要研究方向谐波减速器疲劳寿命。
  [ " 李霆（1963— ）男，山西太原人，博士，教授，主要研究方向机械振动、疲劳寿命。 " ]
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.07.025
  中图分类号：
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向珍琳,李霆,杨林等.谐波减速器研究现状及问题研究[J].机械传动,2020,44(07):151-162.

Xiang Zhenlin,Li Ting,Yang Lin,et al.Study on Status and Problem Research of Harmonic Gear Drive[J].Journal of Mechanical Transmission,2020,44(07):151-162.
向珍琳,李霆,杨林等.谐波减速器研究现状及问题研究[J].机械传动,2020,44(07):151-162. DOI： 10.16578/j.issn.1004.2539.2020.07.025.

Xiang Zhenlin,Li Ting,Yang Lin,et al.Study on Status and Problem Research of Harmonic Gear Drive[J].Journal of Mechanical Transmission,2020,44(07):151-162. DOI： 10.16578/j.issn.1004.2539.2020.07.025.

摘要

简要回顾了近年谐波减速器的发展与应用现状。着重阐述轮齿齿形的发展及当前主流厂商应用的齿形以及影响减速器寿命的主要因素。在传统齿形方面，齿形经历了从直线齿形到圆弧齿形，再到双圆弧齿形的发展阶段，分析了各阶段齿形的啮合特性及疲劳寿命，当前产品化的代表齿形有“S”齿形、“P”齿形、“δ”齿形等。近年来柔轮筒体的薄壁和长寿命是研究的重点，大量研究集中在筒体、轮齿、波发生器等应力研究。在此基础上，对谐波减速器未来应关注的研究方向给出建议，包括齿形的研究、材料微观结构的分析、加工工艺的研究、理论体系的建立、固有频率波动大的问题、齿间啮合力的精确分析和计算、传动精度的影响因素等。

Abstract

The development and application of harmonic gear drive in recent years are briefly reviewed，the development of gear tooth profile and the main factors affecting the life of reducer are mainly expounded. In the traditional tooth profile，the tooth profile has undergone the development stage from the linear tooth profile to the arc tooth profile，and then to the double arc tooth profile，the meshing characteristic and fatigue life at each stage are analyzed. The representative teeth of the current products are "S" tooth profile，"P" tooth profile，"δ" tooth profile and so on. In recent years，thin wall and long life are the focus of research，and a large number of researches focus on stress research of cylinder，gear tooth and wave generator. On this basis，suggestions are given on the research direction of harmonic reducer that should be paid attention to in the future，that is，the research of tooth profile，the analysis of material microstructure，the research of processing technology，the establishment of theoretical system，the problem of large natural frequency fluctuation，the accurate analysis and calculation of tooth meshing force，the influencing factors of transmission accuracy，etc.

关键词

谐波减速器齿形应力润滑

Keywords

Harmonic gear driveTooth profileStressLubrication

references

JEON H S，HOON O S.A study on stress and vibration analysis of a steel and hybrid flexspline for harmonic drive[J].Composits Structures，1997，47（1/2/3/4）:827-833.

伊万诺夫 M H.谐波齿轮传动[M].沈允文，李克美，译.北京:国防工业出版社，1987:10-15.

Иванов M H.Harmonic gear drive[M].SHEN Yunwen，LI Kemei，Jr.Beijing:National Defense Industry Press，1987：10-15.

产业智能官.国内机器人减速器的市场现状及差距分析[EB/OL].[2018-10-25]https://www.sohu.com/a/271179396_755644https://www.sohu.com/a/271179396_755644.

Industrial Intelligence Officer. Market status and gap analysis of domestic robot reducer[EB/OL].[2018-10-25]https://www.sohu.com/a/271179396_755644https://www.sohu.com/a/271179396_755644.

沈允文.采用渐开线齿形的谐波齿轮传动的啮合分析[J].西北工业大学学报，1978，22（3）:137-147.

SHEN Yunwen.Meshing analysis of harmonic gear transmission with involute profile[J].Journal of Northwestern Polytechnical University，1978，22（3）:137-147.

沈允文.渐开线谐波齿轮啮合研究中的几个问题[J].齿轮，1979，3（3）:17-27.

SHEN Yunwen.Several problems in the meshing research of involute harmonic[J].Gears，1979，3（3）:17-27.

毛彬彬，王克武.谐波齿轮的齿形研究和发展概述[J].煤矿机械，2008，29（7）:6-8.

MAO Binbin，WANG Kewu.Overview of tooth profile research and development of harmonic gear[J].Coalmine Machinery，2008，29（7）:6-8.

MAITI R，ROY A K.Minimum tooth difference in internal-external involute gear pair，mech[J].Machanism and Machine Theory，1996，31（4）:475-484.

ROUTH B，MAITI R.On a gearing problem in conventional harmonic drives with involute toothed gear set[C]//Proceedings of the ASME IDETC Conference，29-31 August 2011，Washington，DC，USA.New York:ASME，2011:481-489.

刘书海，董慧敏，邹开其.基于运动几何学的谐波齿轮传动双圆弧齿形优化设计[J].大连大学学报，2002，23（2）:13-16.

LIU Shuhai，DONG Huimin，ZOU Kaiqi.The optimal design of double arc tooth profile of harmonic gear transmission based on motion geometry[J].Journal of Dalian University，2002，23（2）:13-16.

曾世强，杨家军，王宣福.双圆弧齿形谐波齿轮传动的运动特性分析[J].华中理工大学学报，2000，28（1）:12-14.

ZENG Shiqiang，YANG Jiajun，WANG Xuanfu.Analysis of motion characteristics of double arc-toothed harmonic gear transmission[J].Journal of Huazhong University of Science and Technology，2000，28（1）:12-14.

沈允文，叶庆泰.谐波齿轮传动的理论与设计[M].北京:机械工业出版社，1985：1-5.

SHEN Yunwen，YE Qingtai.Theory and design of harmonic gear transmission[M].Beijing:Machinery Industry Press，1985：1-5.

辛洪兵.圆弧齿廓谐波齿轮传动齿形设计中的几个问题[J].机械传动，1999，32（2）:11-13.

XIN Hongbing.Some problems in the design of the tooth profile of circular tooth profile harmonic gear transmission[J].Journal of Mechanical Transmission，1999，32（2）:11-13.

辛洪兵.双圆弧谐波齿轮传动基本齿廓设计[J].中国机械工程，2011，22（6）:656-662.

XIN Hongbing.Design for basic rack of harmonic drive with double-circular-arc tooth profile[J].China Mechanical Engineering，2011，22（6）:656-662.

辛洪兵.柔轮齿圈应力的有限元分析[J].机械科学与技术，2003，22（4）:558-559.

XIN Hongbing.Finite element analysis of stress on tooth rim of a flexspline[J].Mechanical Science and Technology，2003，22（4）:558-559.

王家序，周祥祥，李俊阳，等.公切线式双圆弧齿廓谐波齿轮传动设计[J].湖南大学学报（自然科学版），2016，43（2）:56-63.

WANG Jiaxu，ZHOU Xiangxiang，LI Junyang，et al.Common tangent double circular-arc tooth profile harmonic gear transmission design[J].Journal of Hunan University(Natural Science Edition)，2016，43（2）:56-63.

周林玉.双圆弧齿廓谐波传动的设计与分析[J].机械传动，2015，39（7）:90-93.

ZHOU Linyu.Design and analysis of double circular tooth profile harmonic drive[J].Journal of Mechanical Transmission,2015,39（7）:90-93.

CHEN X X，LIN S Z，XING J Z.Simulation on gear backlash and interference check of harmonic drive with circular-arc teeth profile[J].Computer Integreted Manufacture Systems，2011，17（3）:643-648.

余金宝，范元勋.谐波传动双圆弧共轭齿廓的优化设计[J].组合机床与自动化加工技术，2019，61（3）:33-36.

YU Jinbao，FAN Yuanxun.Optimization design of double arc conjugate tooth profile of harmonic drive[J].Combination Machine and Automatic Processing Technology，2019，61（3）3:33-36.

陈晓霞，宋宇，邢静忠，等.连续共轭啮合的双圆弧谐波齿轮齿廓设计及运动仿真验证[J].计算机辅助设计与图形学学报，2016，28（11）:1982-1988.

CHEN Xiaoxia，SONG Yu，XING Jingzhong，et al.Design and motion simulation of double-arc harmonic gear tooth profile with continuous conjugate mesh[J].Journal of Computer Aided Design and Graphics，2016，28（11）:1982-1988.

LAI T S.Design and machining of the epicycloid planet gear of cycloid drives[J].International Journal of Advanced Manufacturing Technology，2006，28（7/8）:665-670.

YAO Y P，CHEN X X，XING J Z.Complex cycloidal tooth profile of circular spline in harmonic drive and its optimal fitting research[J].Journal of Industrial and Production Engineering，2016，34（1）:1-8.

Yao Y P，Chen X X，Xing J Z.Complex cycloidal tooth profile of circular spline in harmonic drive and its optimal fitting research[J].Journal of Industrial and Production Engineering，2017，34（1）:1-8.

PARK M W，JEONG J H，RYU J H，et al.Development of speed reducer with planocentric involute gearing mechanism[J].Journal of Mechanical Science and Technology，2007，21（8）:1172-1177.

李谦.绿的谐波——领跑机器人精密谐波减速器[J].机器人技术与应用，2014，27（3）:21-22.

LI Qian.Leaderdrive—lead robot precision harmonic reducer[J].Robot Application Technology，2014，27（3）:21-22.

袁安富，张杰，杨燃，等.一种谐波减速器柔轮δ齿形：CN1055840A[P].2016-05-18.

YUAN Anfu，ZHANG Jie，YANG Ran，et al.δ teeth of a harmonic reducer:CN1055840A[P].2016-05-18.

KONDO K.TAKADA J.Study on tooth profiles of the harmonic drive[J].Journal of Mechanic Design，1990，112（1）:131-137.

邹赞成.一种谐波减速器的具有拱形轮齿的柔轮:CN205806389U[P].2016-12-14.

ZOU Zancheng.A flexible wheel with sinusoidal teeth for a harmonic derive:CN205806389U[P].2016-12-14.

邹赞成.一种谐波减速器的具有正弦形齿的柔轮:CN206017626U[P].2017-3-15.

ZOU Zancheng.A flexible wheel with sinusoidal teeth for a harmonic derive:CN206017626U[P].2017-3-15.

邹赞成.一种谐波减速器的具有梯形齿的柔轮:CN206206536[P].2017-5-31.

ZOU Zancheng.A flexible wheel with trapezoidal teeth for a harmonic reducer:CN206206536[P].2017-5-31.

毛彬彬.STS齿形谐波齿轮传动啮合理论与设计研究[D].南京：南京理工大学，2007:7-16.

MAO Binbin.Meshing theory and design of STS tooth harmonic gear transmission[D].Nanjing:Nanjing University of Science and Technology，2007:7-16.

范元勋，王敏杰，王华坤，等.一种谐波齿轮减速器:CN105299151A[P].2016-02-03.

FAN Yuanxun，WANG Minjie，WANG Huakun，et al.A harmonic gear derive:CN105299151A[P].2016-02-03.

石川昌一，泷泽登，有马贵弘，等.具有三维接触渐开线正偏位齿形的波动齿轮装置:CN102959275A[P].2013-03-06.

ISHIKAWA C，TAKI Z，YOU M，et al.A wave gear device with three-dimensional contact involute positive-offset tooth profile:CN102959275A[P].2013-03-06.

石川昌一.具有锥形可挠性外齿轮的波动齿轮装置:CN103827542A[P].2014-05-28.

ISHIKAWA C.A wave gear device with tapered flexible outer gear:CN103827542A[P].2014-05-28.

石川昌一.超越型啮合的负偏位波动齿轮装置:CN105899847A[P].2016-08-24.

ISHIKAWA C.Overmeshing negative offset wave gear device:CN105899847A[P].2016-08-24.

王家序，胡如康，周广武，等.双圆弧谐波减速器共轭啮合区混合润滑分析[J].哈尔滨工业大学学报，2018，50（7）:169-176.

WANG Jiaxu，HU Rukang，ZHOU Guangwu，et al.Mixed lubrication analysis of double arc harmonic reducer conjugate meshing region[J].Journal of Harbin Institute of Technology，2018，50（7）:169-176.

ZHENG J，YANG W.Failure analysis of a flexspline of harmonic gear drive in STC industrial robot:microstructure and stress distribution[J].Materials Science and Engineering,2018,452：1-8.

LI S T.Diaphragm stress analysis and fatigue strength evaluation of the flex-spline，avery thin-walled spur gear used in the strain wave gearing[J].Mechanism and Machine Theory，2016（104）:1-16.

沈允文.谐波齿轮传动的强度计算[J].西北工业大学学报，1978，2（2）:71-80.

SHEN Yunwen.Intensity calculation of harmonic gear transmission[J].Journal of Northwest Polytechnical University，1978，2（2）:71-80．

薄书信.谐波齿轮传动柔轮应力及轮齿磨损分析[D].哈尔滨:哈尔滨工业大学，2008:4-8．

BO Shuxin.Analysis of stress and tooth wear of harmonic gear drive flexible wheel[D].Harbin:Harbin Institute of Technology，2008:4-8.

MANSON S S，HALFORD G R.Practical implementation of the double linear damage rule and damage curve approach for treating cumulative fatigue damage[J].International Journal of Fracture，1981，17（2）:169-192.

CHEN X X，LIN S Z，XING J Z.Assemble modeling of harmonic drive based on deformation of elastic component[J].Computer Integrated Manufacture System，2011，17（2）:338-343.

CHEN X X，LIN S Z，XING J Z.The investigation of elongation of the neutral line in harmonic drive[C]//2010 International Conference on Computer Design and Appliations，2010:4383-4386.

CHEN X X，LIN S Z，XING J Z，et al.A novel method based on mechanical analysis for the stretch of the neutral line of the flexspline cup of a harmonic drive[J].Mechanism and Machine Theory，2014（76）:1-19.

CHEN X X，LIN S Z，XING J Z.Modeling of flexspline and contact analyses of harmonic drive[J].Key Engineering Materials，2009（419/420）:597-600.

邢静忠，张泽，陈晓霞，等.超短筒杯形和礼帽形谐波齿轮柔轮筒底应力的几何参数敏感性分析[J].机械传动，2018，42（12）:98-103.

XING Jingzhong，ZHANG Ze，CHEN Xiaoxia，et al.Sensitivity analysis of geometric parameters of bottom stress of flexible wheel cylinder that Super short cylinder cup and hat harmonic gear[J].Journal of Mechanical Transmission，2018，42（12）:98-103.

CHEN X X，LIN S Z，XING J Z，et al.Deformation of harmonic drive in transmission state based on contact analysis with shell element tooth[J].Applied Mechanics Materials，2011（86）:771-774.

CHEN X X，LIN S Z，XING J Z，et al.Deformation of flexspline under transmission force in harmonic drive[J].Advanced Materials Research，2010，97（101）:3536-3539.

余金宝，范元勋.基于Lsight和ABAQUS软件的柔轮筒体应力与结构优化[J].机械制造，2018，56（11）:60-63.

YU Jinbao，FAN Yuanxun.Stress and structural optimization of flexible wheel cylinder based on Isight and ABAQUS software[J].Machine Manufacturing，2018，56（11）:60-63.

林成新，王季康.封闭式谐波齿轮传动柔轮疲劳强度计算[J].机械设计，1999，17（10）:42-44.

LIN Chengxin，WANG Jikang.Fatigue intensity calculation of closed harmonic gear drive flexible wheel[J].Machine Design，1999，17（10）:42-44.

OSTAPSKI W，MUKHA I.Stress state analysis of harmonic drive elements by FEM[J].Bulletin of the Polish Academy of Sciences:Technical Sciences，2007，55（1）:115-123.

DONG H，ZHU Z，ZHOU W，et al.Dynamic simulation of harmonic gear drives considering tooth profiles parameters optimization[J].Journal of Computers（Taipei），2012，7（6）:1429-1436.

DONG H M，WANG D L.Elastic deformation characteristic of the flexspline in harmonic drive[C]//Proceedings of the 2009 ASME/IFTOMM International Conference on Reconfigurable Mechanisms and Robots，July 24，2009,London UK.New York:IEEE，2009：363-369.

严锋，杨为，段成财，等.谐波减速器柔轮的疲劳寿命分析[J].现代制造工程，2013，36（10）:17-19.

YAN Feng，YANG Wei，DUAN Chengcai，et al.Fatigue life analysis of flexible wheel of harmonic reducer[J].Modern Manufacturing Engineering,2013，36（10）:17-19．

夏田，杨世勇，王亚峰.谐波减速器柔轮疲劳分析[J].机械传动，2017，41（10）:133-135.

XIA Tian，YANG Shiyong，WANG Yafeng.Harmonic reducer flexible wheel fatigue analysis[J].Journal of Mechanical Transmission，2017，41（10）:133-135.

吴上生，孙韩磊，杨琪.谐波传动柔轮空间齿廓设计与制造工艺[J].华南理工大学学报（自然科学版），2019，47（1）:32-38.

WU Shangsheng，SUN Hanlei，YANG Qi.Design and manufacture of space tooth profile of harmonic drive flexible wheel[J].Journal of South China University of Technology （Natural Science Edition），2019，47（1）:32-38.

吴上生，孙韩磊，杨琪.基于冷滚压工艺的谐波减速器柔轮疲劳寿命分析[J].机械传动，2019，43（1）:131-135.

WU Shangsheng，SUN Hanlei，YANG Qi.Fatigue life analysis of flexible wheel of harmonic reducer based on cold rolling process[J].Journal of Mechanical Transmission，2019，43（1）:131-135.

田浩，韩念琛，郭文亮.谐波减速器柔轮结构改善与分析[J].机械传动，2019，43（3）:145-148.

TIAN Hao，HAN Nianchen，GUO Wenliang.Improvement and analysis of harmonic reducer flexible wheel structure[J].Journal of Mechanical Transmission，2019，43（3）:145-148.

ZOU C，TAO T，JIANG G D，et al.Deformation and stress analysis of short flexspline in the harmonic derive system with load[C]//Proceedings of the 2013 IEEE international coference on mechatronics and automation，August 4-7,2013，Takamatsu，Japan.New York:IEEE,2013：676-680.

纪名刚.用有限元—线性规划法解弹性接触问题[J].机械设计，1983（1）：1-11.

JI Mingang.Finite element-linear programming method for solving elastic contact problems[J].Mechanical Design，1983（1）：1-11.

CONRY T F，SEIREG A.A mathematical programming method for design of elastic bodies in contact[J].Journal of Applied Mechanics，1971，38（2）:387-392.

CONRY T F，SEIREG A.A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems[J].Journal of Engineering for Industry，1973，95（4）:1115-1122.

ISHIDA T，LI S.A method for analyzing tooth load distribution and contact stress of a thin wall spur gear using FEM and a mathematical programming method[J].Transaction of the Japan Society of Mechanical Engineers，1997，63（606）:585-591.

LI S.Gear contact model and loaded tooth contact analysis of a three-dimensional，thin-rimmed gear[J].Journal of Mechanical Design，2002，124（3）:511-517.

LI S.Contact problem and numeric method of a planetary drive with small teeth number difference[J].Mechanism & Machine Theory，2008，43（9）:1065-1086.

OGUZ K，FEHMI E.Shape optimization of tooth profile of a flexspline for a harmonic drive by finite element modeling[J].Materials and Design，2007，28（2）:441-447.

KIKUCHI M，NITTA R，KIYOSAWA Y，et al.Stress analysis of cup type strain wave gearing[J].Key Engineering Materials，2003（243/244）:129-134.

ISHIKAWA C，TAKAZAWA N.Wave gear drive having negative deflection meshing tooth profile:US 2007266819[P].2007-11-22.

SAHOO V，MAITI R.Load sharing by tooth pairs in involute toothed harmonic drive with conventional wave generator cam[J].Meccanica，2018，53（1）:373-394.

DONG H M，WANG D L，TING K L.Kinematic effect of the compliant cup in harmonic drives[J].Journal of Mechanical Design，2011，133（5）:1-7.

DONG H M，ZHU Z，LU Y.Dynamic simulation of harmonic drives based on FEM[J].Advanced Materials Research，2011（323）:28-33.

SAHOO V，MAITI R.State of stress in strain wave gear flexspline cup on insertion of drive camexperiment and analysis[C]//Proceedings of the 2016

International Conference on Mechanical Engineering，World Congress on Engineering，June 29-July 1，2016，London，UK，2016:966-971.

MAITI R，ROY A K.Minimum tooth difference in internal-external involute gear pair[J].Mechanism and Machine Theory，1996，31（4）:475-485.

MAITI R.A novel harmonic drive with pure involute tooth gear pair[J].Journal of Mechanical Design，2004，126（1）:178-182.

刘邓辉，邢静忠，陈晓霞.渐开线谐波齿轮的空间齿廓设计及啮合特性分析[J].机械设计，2016，33（3）:24-29.

LIU Denghui，XING Jingzhong，CHEN Xiaoxia.Spatial profile design and meshing characteristic analysis of involute harmonic gear[J].Journal of Mechanical Design,2016，33（3）:24-29.

XIAO Qianjin，HAN Xuefeng，JIA Hongguang.Dynamic optimum design and analysis of cam wave generator for harmonic gear drive[C]//IEEE International Conference on Information & Automation，June 6-8,2011,Shenzhen，China.New York:IEEE，2011:315-319.

BHABANI M，VINEET S，RATHINDRANATH M..Effect of cam insertion on stresses in harmonic drive in industrial robotic joints[J].Procedia Computer Science，2018（133）:432-439.

MAITI R，BISWAS I，NEMA V，et al.Design and development of strain wave generating cam for a new concept‘harmonic drive’[J].Proceedings of the Institution of Mechanical Engineers，Part C:Journal of Mechanical Engineering Science，2012，227（8）:1870-1884.

WU G H，PENG X J.Load distribution among the teeth of flexspline of harmonic drive with double circular-arc tooth profile[C]//4th International Conference on Computer，Mechatronics，Control and Electronic Engineering，September 28-29，2015，Hangzhou，China.New York:IEEE，2015:1090-1093.

DONG H，TING K L，WANG D.Kinematic fundamentals of planar harmonic drives[J].Journal of Mechanical Design，2011，133（11）:1-7.

小林优，清泽芳秀.波动齿轮装置及多层中空体的制造方法:CN106104076A[P].2016-11-09.

KOBAYACHI Yu，CHIMIZAWA Yoshihide.Manufacturing method of undulating gear device and multi-layer hollow body:CN106104076A[P].2016-11-09.

张雷，张立华，王家序，等.基于响应面的柔轮应力和刚度分析[J].浙江大学学报（工学版），2019，53（4）:638-644.

ZHAGN Lei，ZHANG Lihua，WANG Jiaxu，et al.Stress and stiffness analysis of flexible wheel based on response surface[J].Journal of Zhejiang University （Engineering Version），2019，53（4）:638-644.

叶南海，邓鑫，何韵，等.谐波柔轮力学分析与疲劳寿命研究[J].湖南大学学报（自然科学版），2018，45（2）:18-25.

YE Nanhai，DENG Xin，HE Yun，et al.Mechanical analysis and fatigue life study of harmonic flexible wheel[J].Journal of Hunan University （Natural Science），2018，45（2）:18-25.

李奇.不同参数对谐波减速器柔轮动态特性的影响[D].重庆:重庆大学，2016：31-56.

LI Qi.The influence of different parameters on the dynamic characteristics of harmonic reducer's flexible wheel[D].Chongqing:Chongqing University，2016：31-56.

余飞鹏，张立勇，韦乐余，等.柔轮壁厚对其性能影响的仿真分析[J].机械传动，2018，42（7）:147-150.

YU Feipeng，ZHANG Liyong，WEI Leyu，et al.Simulation analysis of the effect of the wall thickness of flexible wheel on its performance[J].Journal of Mechanical Transmission，2018，42（7）:147-150.

夏田，江鹏，马超，等.谐波减速器柔轮摩擦磨损及失效机理研究进展[J].机械传动，2016，40（1）:173-176.

XIA Tian，JIANG Peng，MA Chao，et al.Research progress on friction wear and failure mechanism of flexible wheel of harmonic reducer[J].Journal of Mechanical Transmission，2016，40（1）:173-176.

李俊阳，王家序，周广武，等.空间润滑谐波减速器失效机理研究[J].摩擦学学报，2013，33（1）:44-48.

LI Junyang，WANG Jiaxu，ZHOU Guangwu，et al.Study on failure mechanism of spatial lubrication harmonic reducer[J].Journal of Tribology，2013，33（1）:44-48.

翁立军，汪晓萍，李陇旭，等.谐波齿轮传动减速器的固体润滑失效机理[J].摩擦学学报，1997，17（2）:178-181.

WENG Lijun，WANG Xiaoping，LI Longxu，et al.Failure mechanism of solid lubrication in harmonic gear drive reducer[J].Journal of Tribology，1997，17（2）:178-181．

SUN J Y，WENG L J，YU D Y，et al.Rf－sputtered REMF-MoS2-Au/Au nanocomposite multilayer film[J].Vacuum，2002，65（1）:51-58.

李波.空间润滑谐波减速器传动性能正交试验分析[J].机械工程学报，2012，48（3）:82-87.

LI Bo.Orthogonal test analysis of space lubrication harmonic reducer transmission performance[J].Chinese Journal of Mechanical Engineering，2012，48（3）:82-87．

吴继强，王家序，蒲伟，等.齿廓形状对谐波齿轮共轭啮合区润滑性的影响[J].华中科技大学学报（自然科学版），2017，45（4）:29-33.

WU Jiqiang，WANG Jiaxu，PU Wei，et al.Influence of tooth profile on lubricity of harmonic gear in yoke meshing zone[J].Journal of Huazhong University of Science and Technology （Natural Science Edition），2017，45（4）:29-33．

王家序，胡如康，周广武，等.双圆弧谐波减速器共轭啮合区混合润滑分析[J].哈尔滨工业大学学报，2018，50（7）:169-176.

WANG Jiaxu，HU Rukang，ZHOU Guangwu，et al.Analysis of mixed lubrication in conjugate meshing area of double circular arc harmonic reducer[J].Journal of Harbin Institute of Technology，2018，50（7）:169-176.

裴欣，周广武，王家序，等.柔轮凸齿廓半径对双圆弧谐波齿轮传动摩擦学性能的影响[J].中南大学学报（自然科学版），2018，49（10）:2454-2461.

PEI Xin，ZHOU Guangwu，WANG Jiaxu，et al.Effect of convex tooth profile radius on tribological properties of double circular arc harmonic wave gear transmission[J].Journal of central South University（Natural Science Edition），2018，49（10）:2454-2461.

蒲伟，王家序，李俊阳，等.齿向修形对滤波减速器润滑性能的影响分析[J].摩擦学学报，2014，34（4）:393-399.

PU Wei，WANG Jiaxu，LI Junyang，et al.Analysis of the influence of tooth profile modification on the lubrication performance of filter reducer[J].Journal of Tribology，2014，34（4）:393-399.

UEURA K，KIYOSAWAL Y，KUROGI J，et al.Tribological aspects of a strain wave gearing system with specific reference to its space application[J].Journal of Engineering Tribology，2008，222（8）:1051-1061.

SCHAFER I，BOURLIER P，HANTSCHACK F，et al.Space lubrication and performance of harmonic drive gears[C]//Proceedings of the 11th European Space Mechanisms and Tribology Symposium，2005，September 21-23，2005:65-72.

MAHANTO B S，MAITI R.Stresses in flex gear cup due to insertion of wave generating cams in harmonic drives[C]//Proceedings of the 13th World Congress in Mechanism and Machine Science，Guanajuato，2011，June 19-25，2011:88-96.

BIKASH R，MAITI R.ASOK K R.Analysis of coning and lubrication at flexspline cup and cam interface in conventional harmonic drives[J].Industrial Lubrication and Tribology，2017，69（6）:817-827.

ROUTH B，MAITI R，Ray A K.Aspects of lubrication at the wave generator-flexspline interface in strain wave gearing units[C]//Proceedings of the International Gear Conference，August 26-28,2014，Lyon，2014:709-720.

李俊阳，王家序，范凯杰，等.谐波减速器黏着磨损失效加速寿命模型研究[J].摩擦学学报，2016，36（3）:297-303.

LI Junyang，WANG Jiaxu，FAN Kaijie，et al.Study on adhesive wear failure acceleration life model of harmonic reducer[J].Journal of Tribology，2016，36（3）:297-303.

HUANG B，WANG Y Z，ZHAO K.Thermodynamic research on flexible bearing in harmonic drive[C]//Proceedings of the International Conference on Mechanical Design，Advances in Mechanical Design，ICMD,2017:227-237.

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