[1] 林基恕. 航空发动机主轴滚动轴承的技术进展[J]. 燃气涡轮试验与研究, 2003, 16(4):52-56. LIN J S. Technical advance in rolling bearing of aero-engine shaft[J]. Gas Turbine Experiment and Research, 2003, 16(4):52-56(in Chinese).
[2] 杨晓蔚. 机床主轴轴承最新技术[J]. 轴承, 2010(1):61-63. YANG X W. Latest technology for machine tool spindle bearings[J]. Bearing, 2010(1):61-63(in Chinese).
[3] 刘春浩, 顾家铭, 周赤忠, 等. 陀螺仪电动机转子轴承研究现状与展望[J]. 机械工程学报, 2006, 42(11):17-25. LIU C H, GU J M, ZHOU C Z, et al. Research of present state and prospective on gyro-spin bearings[J]. Journal of Mechanical Engineering, 2006, 42(11):17-25(in Chinese).
[4] SATHYAN K, HSU H Y, LEE S H, et al. Long-term lubrication of momentum wheels used in spacecrafts-An overview[J]. Tribology International, 2010, 43(1-2):259-267.
[5] SATHYAN K, GOPINATH K, LEE S H, et al. Bearing retainer designs and retainer instability failure in spacecraft moving mechanical systems[J]. Tribology Transactions, 2012, 55(4):503-511.
[6] 刘德林, 姜涛, 何玉怀, 等. 浅论国内航空轴承的失效问题[J]. 失效分析与预防, 2015, 10(5):324-330. LIU D L, JIANG T, HE Y H, et al. Discussion on failure problems of aero-bearing[J]. Failure Analysis and Prevention, 2015, 10(5):324-330(in Chinese).
[7] 张森, 石军, 王九龙. 卫星在轨失效统计分析[J]. 航天器工程, 2010, 19(4):41-46. ZHANG S, SHI J, WANG J L. Satellite on-board failure statistics and analysis[J]. Spacecraft Engineering, 2010, 19(4):41-46(in Chinese).
[8] 卿涛, 周宁宁, 周刚, 等.空间摩擦学在卫星活动部件轴系的应用研究现状及发展[J]. 润滑与密封, 2015, 40(2):100-108. QING T, ZHOU N N, ZHOU G, et al. Application research status and development of space tribology in shafting of satellite moving parts[J]. Lubrication Engineering, 2015, 40(2):100-108(in Chinese).
[9] BURT R R, LOFFI R W. Failure analysis of international space station control moment gyro[C]//Proceedings of the 10th European Space Mechanisms & Tribology Symposium. San Sebastian, Spain, 2003:13-25.
[10] KINGSBURY E P. Torque variations in instrument ball bearings[J]. ASLE Transactions, 1965(8):435-441.
[11] 汪久根, 王庆九, 章维明. 滚动轴承动力学的研究[J]. 轴承, 2007(3):41-46. WANG J G, WANG Q J, ZHANG W M. Study on dynamics of rolling bearings[J]. Bearing, 2007(3):41-46(in Chinese).
[12] 张建忠, 马国翰. 滚动轴承保持架动力学研究进展[J]. 轴承, 2011(1):56-60. ZHANG J Z, MA G H. Research progress on dynamic of rolling bearing cages[J]. Bearing, 2011(1):56-60(in Chinese).
[13] GUPTA P K. Current status of and future innovations in rolling bearing modeling[J]. Tribology Transactions, 2011, 54(3):394-403.
[14] WALTERS C T. Thedynamics of ball bearings[J]. Journal of Lubrication Technology, 1971, 93(1):1-10.
[15] KANNEL J W, BUPARA S S. A simplified model of cage motion in angular contact bearings operating in the EHD lubrication regime[J]. Journal of Lubrication Technology, 1978, 100(3):395-403.
[16] GUPTA P K. Dynamicloads and cage wear in high-speed rolling bearings[J]. Wear, 1991, 147:119-134.
[17] ARCHARD J F. Contact and rubbing of flat surface[J].Journal of Applied Physics, 2004, 24(8):981-988.
[18] 立石佳男. 角接触球轴承保持架的动态涡动[J]. 国外轴承技术, 1995(3):14-21. YOSHIO T. Cage dynamic whirl motion of angular contact ball bearings[J]. Foreign Bearing Technology, 1995(3):14-21(in Chinese).
[19] GHAISAS N, WASSGREN C R, SADEGHI F. Cage instabilities in cylindrical roller bearings[J]. Journal of Tribology, 2004, 126(4):681-689.
[20] ZHANG W H, DENG S E, CHEN G D, et al. Impact of lubricant traction coefficient on cage's dynamic characteristics in high-speed angular contact ball bearing[J]. Chinese Journal of Aeronautics, 2017, 30(2):827-835.
[21] NOGI T, MANIWA K, MATSUOKA N. A dynamic analysis of cage instability in ball bearings[J]. Journal of Tribology, 2018, 140(1):011101-1-12.
[22] GUPTA P K. Advanced dynamic of rolling elements[M]. New York:Springer-Verlag, 1984:1-144.
[23] GUPTA P K. Dynamic of rolling-element bearings-Part Ⅲ, IV[J]. Journal of Lubrication Technology, 1979, 101(7):312-326.
[24] GUPTA P K, DILL J F, BANDOW H E. Dynamics of rolling element bearings experimental validation of the DREB and RAPIDREB computer programs[J]. Journal of Tribology, 1985, 107(1):132-137.
[25] GUPTA P K, FORSTER N H. Modeling of wear in a solid-lubricated ball bearing[J]. Tribology Transactions, 1987, 30(1):55-62.
[26] GUPTA P K. Frictional instabilities in ball bearings[J]. Tribology Transactions, 1988, 31(2):258-268.
[27] GUPTA P K. On the geometrical imperfections in ball bearings[J]. Journal of Tribology, 1988, 110(1):19-25.
[28] GUPTA P K. Modeling of instabilities induced by cage clearances in ball bearings[J]. Tribology Transaction, 1991, 34(1):93-99.
[29] GUPTA P K. Cage unbalance and wear in ball bearings[J]. Wear, 1991, 147:93-104.
[30] GUPTA P K. Dynamicloads and cage wear in high-speed rolling bearings[J]. Wear, 1991, 147:119-134.
[31] MEEKS C R, NG K O. The dynamics of ball separators in ball bearings-Part I:Analysis[J]. ASLE Transaction, 1985, 28(3):277-287.
[32] MEEKS C R. The dynamics of ball separators in ball bearings-Part Ⅱ:Results of optimization study[J]. ASLE Transaction, 1985, 28(3):288-295.
[33] BOESIGER E A, DONLEY A D, LOEWENTHAL S. An analytical and experimental investigation of ball bearing retainer instabilities[J]. Journal of Tribology, 1992, 114(3):530-538.
[34] WEINZAPFEL N, SADEGHI F. A discrete element approach for modeling cage flexibility in ball bearing dynamic simulations[J]. Journal of Tribology, 2009, 131(4):021102-1-11.
[35] ASHTEKAR N, SADEGHI F. A new approach for including cage flexibility in dynamic bearing models by using combined explicit finite and discrete element methods[J]. Journal of Tribology, 2012, 134(10):041502-1-12.
[36] 李锦标, 吴林丰. 高速滚子轴承的动力学分析[J]. 航空学报, 1992, 13(12):25-32. LI J B, WU L F. Dynamic analysis of high-speed roller bearings[J]. Acta Aeronautica et Astronautica Sinica, 1992, 13(12):25-32(in Chinese).
[37] 张成铁, 陈国定. 高速滚动轴承的动力学分析[J]. 机械科学与技术, 1997, 16(1):136-139. ZHANG C T, CHEN G D. Dynamic analysis of high-speed rolling bearings[J]. Mechanical Science and Technology, 1997, 16(1):136-139(in Chinese).
[38] 周延泽, 陆震. 高速球轴承球/保持架碰撞模型与冲击特性研究[J]. 机械设计, 2001(7):33-36. ZHOU Y Z, LU Z. Study on ball/cage collision model and impact characteristics of high speed ball bearings[J]. Mechanical Design, 2001(7):33-36(in Chinese).
[39] 刘文秀, 杨咸启, 陈贵. 高速滚子轴承保持架碰撞模型与运动分析[J]. 轴承, 2003(9):1-5. LIU W X, YANG X Q, CHEN G. Collision model and motion analysis on cage of high speed roller bearing[J]. Bearing, 2003(9):1-5(in Chinese).
[40] 薛峥. 深沟球和圆柱滚子轴承动力学分析[D]. 杭州:浙江大学, 2008:1-16. XUE Z. Dynamic analysis of deep groove ball and cylindrical bearings[D]. Hangzhou:Zhejiang University, 2008:1-16(in Chinese).
[41] 刘秀海. 高速滚动轴承动力学分析模型与保持架动态性能研究[D]. 大连:大连理工大学, 2011:85-115. LIU X H. Dynamic analysis model of high-speed rolling bearings and dynamics performance of cages[D]. Dalian:Dalian University of Technology, 2011:85-115(in Chinese).
[42] 叶振环. 航空发动机高速滚动轴承动力学行为研究[D]. 哈尔滨:哈尔滨工业大学, 2013:57-83. YE Z H. Research on dynamics behavior of high-speed rolling bearings in aeroengine[D]. Harbin:Harbin Institute of Technology, 2013:57-83(in Chinese).
[43] DONG G H, LIU Y, JING M Q, et al. Effect of elastrohydronic lubrication on the dynamic analysis of ball bearing[J]. Proceedings of the Institution of Mechanical Engineers, Park K:Journal of Multi-body Dynamics, 2016, 230(2):134-146.
[44] NIU L K, CAO H R, HE Z J, et al. An investigation on the occurrence of stable cage whirl motions in ball bearings based on dynamic simulations[J]. Tribology International, 2016, 103:12-24.
[45] KINGSBURY E P, WALKER R. Motions of an unstable retainer in an instrument ball bearing[J]. Journal of Tribology, 1994, 116(4):202-208.
[46] SCHLICHTING H, GERSTEN K. Boundary-layer theory[M]. Berlin:Springer-Verlag, 2000:1-20.
[47] HONGS W, TONGV C. Rolling-element bearing modeling:A review[J]. International Journal of Precision Engineering and Manufacturing, 2016, 17(12):1729-1749.
[48] STACKE L E, FRITZSON D, NORDLING P. BEAST-A rolling bearing simulation tool[J].Proceedings of the Institution of Mechanical Engineers, Park K:Journal of Multi-body Dynamics, 1999, 213(2):63-71.
[49] STACKE L E, FRITZSON D. Dynamic behavior of rolling bearings:Simulations and experiments[J]. Proceedings of the Institution of Mechanical Engineers, Park K:Journal of Engineering Tribology, 2001, 215(6):499-508.
[50] ARAMAKI H. Rolling bearing analysis program package ‘BRAIN’[J]. Motion & Control, 1997(3):15-24.
[51] SEKIYA M. Integrated bearing dynamic analysis system ‘IBDAS’[J]. NTN Technical Review, 2011(79):119-124.
[52] Schaeffler Technologies GmbH & Co.KG. CABA3D:An insight into rolling bearing dynamics[EB/OL]. (2014-10)[2018-03-20]. http://www.schaeffler.com/calculation.
[53] HOUPERT L. CAGEDYN:A contribution to roller bearing dynamic calculations. Part I, Ⅱ:Basic tribology concepts and description of the numerical tool and its outputs[J]. Tribology Transactions, 2010, 53(1):1-21.
[54] POPLAWSKI J V. Computer code COBRA[EB/OL].[2018-03-20]. http://www.bearingspecialists.com.
[55] 张凤琴, 李兵建, 田宇, 等. ADAMS二次开发技术在滚动轴承动力学分析中的应用[J]. 轴承, 2011(5):52-54. ZHAGN F Q, LI B J, TIAN Y, et al. Application of ADAMS secondary development technology in rolling bearing dynamics analysis[J]. Bearing, 2011(5):52-54(in Chinese).
[56] 邓四二, 谢鹏飞, 杨海生, 等. 高速角接触球轴承保持架柔体动力学分析[J]. 兵工学报, 2011, 32(5):625-631. DENG S E, XIE P F, YANG H S, et al. Flexible-body dynamic analysis on cage of high-speed angular contact ball bearing[J]. Acta Armamentarii, 2011, 32(5):625-631(in Chinese).
[57] SAKAGUCHI T, HARADA K. Dynamic analysis of cage behavior in a tapered roller bearing[J]. Journal of Tribology, 2006, 128(3):165-166.
[58] 崔立, 时大方, 郑建荣, 等. 基于ANSYS/LS-DYNA的保持架动力学分析[J]. 机械传动, 2012, 36(6):78-81. CUI L, SHI D F, ZHENG J R, et al. Dynamic analysis of cage based on ANSYS/LS-DYNA[J]. Journal of Mechanical Transmission, 2012, 36(6):78-81(in Chinese).
[59] 姚廷强, 谢伟, 谭阳. 角接触球轴承保持架柔性多体动力学分析[J]. 中国机械工程, 2014, 25(1):117-122. YAO T Q, XIE W, TAN Y. Flexible multi-body dynamic analysis on cage of angular contact ball bearings[J]. China Mechanical Engineering, 2014, 25(1):117-122(in Chinese).
[60] STEVENS K T. Experimental observations on torque variation caused by ball bearing cage instabilities[C]//Proceedings of the Second Space Tribology Workshop. Rigley, UK, 1980:101-110.
[61] 彭忠献. 保持架产生啸声的试验分析[J]. 轴承, 1989(2):53-56. PENG Z X. Test analysis of cage squeal[J]. Bearing, 1989(2):53-56(in Chinese).
[62] 葛世东, 郭金芳, 毕先忠. 陀螺马达轴承保持架稳定性的试验分析[J]. 轴承, 2000(11):25-27. GE S D, GUO J F, BI X Z. Test analysis on cage stability of gyro motor bearings[J]. Bearing, 2000(11):25-27(in Chinese).
[63] 黄迪山. 微型轴承保持架质心轨迹检测与特性分析[J]. 中国机械工程, 2012, 23(15):1779-1784. HUANG D S. Detection and characteristic analysis for mass center orbit of bearing cage[J]. China Mechanical Engineering, 2012, 23(15):1779-1784(in Chinese).
[64] 陈后清, 王芳, 瞿庆春, 等. 保持架动态轨迹及滑动比测试试验机[J]. 轴承, 2012(7):36-42, 46. CHEN H Q, WANG F, QU Q C, et al. Tester for measuring cage dynamic trajectory and sliding ratio[J]. Bearing, 2012(7):36-42, 46(in Chinese).
[65] WEN B G, REN H J, ZHANG H, et al. Experimental investigation of cage motions in angular contact ball bearing[J]. Proceedings of the Institution of Mechanical Engineers, Park J:Journal of Engineering Tribology, 2017, 231(8):1350650116689457.
[66] HAN Q K,WEN B G, WANG M L, et al. Investigation of cage motions affected by its unbalance in a ball bearing[J/OL]. Proceedings of the Institution of Mechanical Engineers, Park K:Journal of Multi-body Dynamics, (2017-08)[2018-03-20]. doi:10.1177/1464419317727197.
[67] 束坤. 高速轻载航空轴承打滑监测技术研究[D]. 哈尔滨:哈尔滨工业大学, 2015:1-9. SHU K. Research on monitoring technologies of high-speed and light-load aero-bearings'skidding[D]. Harbin:Harbin Institute of Technology, 2015:1-9(in Chinese).
[68] 占明学. 高速滚子轴承中滚子运动规律的试验研究[J]. 辽宁机械, 1982(5):11-15. ZHAN M X. Experimental study on the motion of roller in high speed roller bearing[J]. Liaoning Machinery, 1982(5):11-15(in Chinese).
[69] 孙岩, 乔鸿春. 光纤传感器在轴承保持架转速测量中的应用[J]. 轴承, 1993(1):30-32. SUN Y, QIAO H C. Application of optical fiber sensor in rotation speed measurement of bearing cage[J]. Bearing, 1993(1):30-32(in Chinese).
[70] 生寿华. DZ-8208轴承打滑仪的原理及使用[J]. 轴承, 1985(3):29-32. SHENG S H. Principle and application of DZ-8208 bearing skidding instrument[J]. Bearing, 1985(3):29-32(in Chinese).
[71] LIU Z X, XU C, LI M, et al. Study on the rotational speed of bearing cage based on ultrasonic measurement[J]. Proceedings of the Institution of Mechanical Engineers, Park K:Journal of Multi-body Dynamics, 2017, 231(4):1464419317697855.
[72] ABELE E, HOLLAND L, NEHRBASS A. Image acquisition and image processing algorithms for movement analysis of bearing cages[J]. Journal of Tribology, 2016, 138(4):021105-1-7.
[73] PALLADINO M, NEGLIA S G, WYGACHIEWICZ M. Analysis and monitoring of cage dynamics in ball bearings for space applications[C]//Proceedings of the ESMATS 2017. Hatfield:2017, 1-8.
[74] YANG Z, CHEN H, LI B. A high-precision instrument for analyzing nonlinear dynamic behavior of bearing cage[J]. Review of Scientific Instruments, 2016, 87(8):085105-1-5.
[75] YE Z H, WANG L Q. Effect of external loads on cage stability of high-speed ball bearings[J]. Proceedings of the Institution of Mechanical Engineers, Park J:Journal of Engineering Tribology, 2015, 229(11):1300-1318.
[76] BOVET C, ZAMPONI L. An approach for predicting the internal behaviour of ball bearings under high moment load[J]. Mechanism and Machine Theory, 2016, 101:1-22.
[77] MARQUART M, WAHL M, EMRICH S, et al. Enhancing the lifetime of MoS2-lubricated ball bearings[J]. Wear, 2013, 303(1-2):169-177.