1. School of Mechanical Engineering, Qinghai University, Xining 810016, China; 2. State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; 3. Luoyang Bearing Research Institute Co., Ltd, Luoyang 471039, China
Abstract:Grease lubricated angular contact ball bearings are usually used in spindle bearings of high-speed machine tools. The large temperature increases during high-speed operation seriously affect the bearing precision, resulting in a loss of operating precision and reduced service lives. This study predicts the bearing loads with the influence of thermal deformation on the force equilibrium of angular contact ball bearings. The local heat generation rates are predicted with grease lubrication using a multi-node thermal network to model the angular contact ball bearings that predicts each node temperature. The results show the influence of the thermal deformation on the bearing temperature rise and the forces on the bearing with the simulation results verified through experiments. The predicted bearing outer ring temperatures based on the force balance calculation with the thermal deformation are in good agreement with experimental data with errors of less than 10% which verifies the reliability of this method for predicting the temperature rise of grease lubricated high-speed bearings.
[1] PALMGREN A. Ball and roller bearing engineering[M]. Philadelphia:Burbank, 1959. [2] HARRIS T A, KOTZALAS M N. Advanced concepts of bearing technology. Rolling bearing analysis[M]. 5th ed. New York:CRC Press, Taylor & Francis Group, 2006. [3] 陈观慈, 王黎钦, 古乐, 等. 高速球轴承的生热分析[J]. 航空动力学报, 2007, 22(1):163-168. CHEN G C, WANG L Q, GU L, et al. Heating analysis of the high speed ball bearing[J]. Journal of Aerospace Power, 2007, 22(1):163-168. (in Chinese) [4] JIN C, WU B, HU Y M. Heat generation modeling of ball bearing based on internal load distribution[J]. Tribology International, 2012, 45(1):8-15. [5] TAKABI J, KHONSARI M M. Experimental testing and thermal analysis of ball bearings[J]. Tribology International, 2013, 60:93-103. [6] 胡小秋, 陈维福. 角接触球轴承热特性分析及试验[J]. 西安交通大学学报, 2015, 49(2):106-110. HU X Q, CHEN W F. Thermal characteristics analysis and experiment for angular contact ball bearing[J]. Journal of Xi'an Jiaotong University, 2015, 49(2):106-110. (in Chinese) [7] 雷默涵, 姜歌东, 梅雪松, 等. 高速球轴承微接触弹流摩擦及生热分析[J]. 西安交通大学学报, 2016, 50(4):81-88. LEI M H, JIANG G D, MEI X S, et al. Micro-contact EHL friction and heat generation analysis of high speed ball bearings[J]. Journal of Xi'an Jiaotong University, 2016, 50(4):81-88. (in Chinese) [8] THAN V T, HUANG J H. Nonlinear thermal effects on high-speed spindle bearings subjected to preload[J]. Tribology International, 2016, 96:361-372. [9] NEUROUTH A, CHANGENET C, VILLE F, et al. Thermal modeling of a grease lubricated thrust ball bearing[J]. Proceedings of the Institution of Mechanical Engineers, Part J:Journal of Engineering Tribology, 2014, 228(11):1266-1275. [10] AI S Y, WANG W Z, WANG Y L, et al. Temperature rise of double-row tapered roller bearings analyzed with the thermal network method[J]. Tribology International, 2015, 87:11-22. [11] MA F B, LI Z M, QIU S C, et al. Transient thermal analysis of grease-lubricated spherical roller bearings[J]. Tribology International, 2016, 93:115-123. [12] 高超. 脂润滑角接触球轴承摩擦力矩的动态预测及热特性分析[D]. 兰州:兰州理工大学, 2016. GAO C. Dynamic prediction of friction torque and analysis of thermal characteristics in grease lubricated angular contact ball bearings[D]. Lanzhou:Lanzhou University of Technology, 2016. (in Chinese) [13] POULY F, CHANGENET C, VILLE F, et al. Investigations on the power losses and thermal behaviour of rolling element bearings[J]. Proceedings of the Institution of Mechanical Engineers, Part J:Journal of Engineering Tribology, 2009, 224(9):925-933. [14] YAN K, HONG J, ZHANG J H, et al. Thermal-deformation coupling in thermal network for transient analysis of spindle-bearing system[J]. International Journal of Thermal Sciences, 2016, 104:1-12. [15] NEUROUTH A, CHANGENET C, VILLE F, et al. Influence of rolling element bearing modeling on the predicted thermal behavior of the FZG test rig[J]. Tribology Transactions, 2017, 60(4):753-761. [16] ZHENG D X, CHEN W F. Thermal performances on angular contact ball bearing of high-speed spindle considering structural constraints under oil-air lubrication[J]. Tribology International, 2017, 109:593-601. [17] NIEL D, CHANGENET C, VILLE F, et al. Thermomecanical study of high speed rolling element bearing:A simplified approach[J]. Proceedings of the Institution of Mechanical Engineers, Part J:Journal of Engineering Tribology, 2018, 233(4):541-552. [18] JORGENSEN B R, SHIN Y C. Dynamics of machine tool spindle/bearingsystems under thermal growth[J]. Journalof Tribology, 1997, 119(4):875-882. [19] LI H Q, SHIN Y C. Integrated dynamic thermo-mechanical modeling of high speed spindles, part 1:Model development[J]. Journal of Manufacturing Science and Engineering, 2004, 126(1):148-158. [20] BIAN W, WANG Z H, YUAN J T, et al. Thermo-mechanical analysis of angular contact ball bearing[J]. Journal of Mechanical Science and Technology, 2016, 30(1):297-306. [21] ZHENG D X, CHEN W F. Effect of structure and assembly constraints on temperature of high-speed angular contact ball bearings with thermal network method[J]. Mechanical Systems and Signal Processing, 2020, 145:106929. [22] ZHAO C J, YU X K, HUANG Q X, et al. Analysis on the load characteristics and coefficient of friction of angular contact ball bearing at high speed[J]. Tribology International, 2015, 87:50-56. [23] 陈观慈. 航空发动机主轴高速滚动轴承热分析[D]. 哈尔滨:哈尔滨工业大学, 2008.CHEN G C. Thermal analysis of high-speed rolling bearing used in main shaft of aeroengine[D]. Harbin:Harbin Institute of Technology, 2008.(in Chinese) [24] 陈观慈, 王黎钦, 古乐, 等. 高速球轴承的生热分析[J]. 航空动力学报, 2007, 22(1):163-168. CHEN G C, WANG L Q, GU L, et al. Heating analysis of the high speed ball bearing[J]. Journal of Aerospace Power, 2007, 22(1):163-168. (in Chinese) [25] 金燕, 刘少军, 张建阁. 高速角接触球轴承热分析及试验验证[J]. 轴承, 2018(12):30-33, 38. JIN Y, LIU S J, ZHANG J G. Thermal analysis and experimental verification for high speed angular contact ball bearings[J]. Bearing, 2018(12):30-33, 38. (in Chinese) [26] 梁群. 角接触球轴承的热特性分析[D]. 青岛:青岛理工大学, 2015. LIANG Q. Analysis of the thermal characteristics in angular contact ball bearings[D]. Qingdao:Qingdao Technological University 2015. (in Chinese) [27] BURTON R A, STAPH H E. Thermally activated seizure of angular contact bearings[J]. A S L E Transactions, 1967, 10(4):408-417.