圆弧兜孔圆柱滚子轴承的动态不稳定规律特性研究
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摘要
以具有圆弧兜孔保持架的圆柱滚子轴承为对象,研究其高速轻载工况下滚子打滑和保持架涡动规律。利用牛顿-欧拉动力学及接触力学理论,建立了轴承的动力学模型,考虑滚子直径的加工误差,利用龙格库塔法对轴承进行了动力学数值仿真,分析了兜孔的弧面偏置角、弧面半径对滚子打滑和保持架涡动的影响规律,结果表明,高速轻载工况下兜孔的弧面偏置角、弧面半径对滚子打滑和保持架涡动的影响显著,当弧面偏置角为锐角且弧面半径显著大于滚子半径时,可有效抑制滚子打滑和保持架涡动。
A cylindrical roller bearing with arc cage pocket was taken as the study object, its roller skidding and cage whirling laws under conditions of high-speed and light-load were investigated. Using Newton-Euler dynamics and the contact mechanics theory, the bearing's dynamic model was built considering machining error of roller diameter. Runge-Kutta method was used to do dynamic numerical simulation for the bearing to analyze effect laws of pocket hole's arc surface offset angle and arc surface radius on roller skid and cage whirl. The results showed that under conditions of high-speed and light-load, pocket hole's arc surface offset angle and arc surface radius affect roller skid and cage whirl significantly; when arc surface offset angle is an acute one and arc surface radius is obviously larger than roller radius, roller skid and cage whirl can be suppressed effectively.
A cylindrical roller bearing with arc cage pocket was taken as the study object, its roller skidding and cage whirling laws under conditions of high-speed and light-load were investigated. Using Newton-Euler dynamics and the contact mechanics theory, the bearing's dynamic model was built considering machining error of roller diameter. Runge-Kutta method was used to do dynamic numerical simulation for the bearing to analyze effect laws of pocket hole's arc surface offset angle and arc surface radius on roller skid and cage whirl. The results showed that under conditions of high-speed and light-load, pocket hole's arc surface offset angle and arc surface radius affect roller skid and cage whirl significantly; when arc surface offset angle is an acute one and arc surface radius is obviously larger than roller radius, roller skid and cage whirl can be suppressed effectively.
引文
[1] 张成铁, 陈国定, 李建华. 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 Chengtie, CHEN Guoding, LI Jianhua. Dynamic analysis of high-speed roller bearings[J]. Mechanical Science and Technology, 1997, 16(1): 136-139.
[2] 刘秀海, 邓四二, 腾弘飞. 高速圆柱滚子轴承保持架运动分析[J]. 航空发动机, 2013, 39(2): 31-38. LIU Xiuhai, DENG Si’er, TENG Hongfei. Kinematics analysis of cages in high-speed cylindrical roller bearings[J]. Aeroengine, 2013, 39(2): 31-38.
[3] CAVALLARO G, NELIAS D, BON F. Analysis of high-speed intershaft cylindrical roller bearing with flexible rings[J]. Tribology Transactions, 2005, 48(2): 154-164.
[4] YOSHIDA T, TOZAKI Y, MIYAKE H, et al. Analysis of cage slip in cylindrical roller bearings considering non-Newtonian behavior and temperature rise of lubricating oil[J]. Journal of Japanese Society of Tribologists, 2008, 53(11): 752-761.
[5] LANIADO-JáCOME E, MENESES-ALONSO J, DIAZ-LóPEZ V. A study of sliding between rollers and races in a roller bearing with a numerical model for mechanical event simulations[J]. Tribology International, 2010, 43(43): 2175-2182.
[6] SELVARAJ A, MARAPPAN R. Experimental analysis of factors influencing the cage slip in cylindrical roller bearing[J]. The International Journal of Advanced Manufacturing Technology, 2011, 53(5): 635-644.
[7] 张占立, 王燕霜, 邓四二, 等. 高速圆柱滚子轴承动态特性分析[J]. 航空动力学报, 2011, 26(2): 397-403. ZHANG Zhanli, WANG Yanshuang, DENG Si’er, et al. Analysis on dynamic characteristics of high speed cylindrical roller bearing[J]. Journal of Aerospace Power, 2011, 26(2): 397-403.
[8] 胡绚, 罗贵火, 高德平. 航空发动机中介轴承的特性分析[J]. 航空动力学报, 2007, 22(3): 439-443. HU Xuan, LUO Guihuo, GAO Deping. Performance analysis of aero engine intershaft bearing[J]. Journal of Aerospace Power, 2007, 22(3): 439-443.
[9] 杨海生, 邓四二, 李晌, 等. 航空发动机主轴高速圆柱滚子轴承保持架柔性动力学仿真[J]. 轴承, 2011(2): 7-11. YANG Haisheng, DENG Si’er, LI Shang, et al. Flexible dynamic simulation on cage of aeroengine high speed cylindrical roller bearings[J]. Bearing, 2011(2): 7-11.
[10] 邓四二, 顾金芳, 崔永存, 等. 高速圆柱滚子轴承保持架动力学特性分析[J]. 航空动力学报, 2014, 29(1): 207-215. DENG Si’er, GU Jinfang, CUI Yongcun, et al. Analysis on dynamic characteristics of cage in high-speed cylindrical roller bearing[J]. Journal of Aerospace Power, 2014, 29(1): 207-215.
[11] 刘红彬, 张帅, 邢国玺, 等. 圆柱滚子轴承滚子打滑机理研究[J]. 轴承, 2014(3): 1-6. LIU Hongbin, ZHANG Shuai, XING Guoxi, et al. Study on skidding mechanism for rollers of cylindrical roller bearings[J]. Bearing, 2014(3): 1-6.
[12] 金海善, 朱爱斌, 陈渭. 利用改进牛顿-拉夫逊法的高速圆柱滚子轴承打滑分析[J]. 西安交通大学学报, 2015, 49(1): 133-138. JIN Haishan, ZHU Aibin, CHEN Wei. Skidding analysis of high-speed cylindrical roller bearings using improved Newton-Raphson method[J]. Journal of Xi’an Jiaotong University, 2015, 49(1): 133-138.
[13] 姚廷强, 黄亚宇, 王立华. 圆柱滚子轴承多体接触动力学研究[J]. 振动与冲击, 2015, 34(7): 15-23. YAO Tingqiang, HUANG Yayu, WANG Lihua. Multibody contact dynamics for cylindrical roller bearing[J]. Journal of Vibration and Shock, 2015, 34(7): 15-23.
[14] 毛宇泽, 王黎钦, 古乐. 负游隙对高速高温薄壁圆柱滚子轴承动态性能的影响分析[J]. 航空动力学报, 2016, 31(11): 2795-2800. MAO Yuze, WANG Liqin, GU Le. Effect of negative clearance dynamic characteristics of high-speed high-temperature thin-walled cylindrical roller bearings[J]. Journal of Aerospace Power, 2016, 31(11): 2795-2800.
[15] PALMGREN A. Ball and roller bearing engineering[M]. Philadelphia: SKF Industries Inc, 1959.
[16] 董富祥, 洪嘉振. 多体系统动力学碰撞问题研究综述[J]. 力学进展, 2009, 39(3): 352-359. DONG Fuxiang, HONG Jiazhen. Review of impact problem for dynamics of multibody system[J]. Advances in Mechanics, 2009, 39(3): 352-359.
[17] 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.
[18] SAKAGUCHI T, HARADA K. Dynamic analysis of cage behavior in a tapered roller bearing[J]. Journal of Tribology, Transaction of the ASME, 2006, 128(3): 604-611.
[19] 王燕霜. 航空润滑油流变特性及其对润滑性能影响的研究[D]. 哈尔滨: 哈尔滨工业大学, 2006.
[20] 平克斯 O, 斯德因李希特 B. 流体动力润滑理论[M]. 北京: 机械工业出版社, 1980.
[21] GHAISAS N, WASSGREN C R, SADEGHI F. Cage instabilities in cylindrical roller bearing[J]. Journal of Tribology, 2004, 126(4): 681-689.
[2] 刘秀海, 邓四二, 腾弘飞. 高速圆柱滚子轴承保持架运动分析[J]. 航空发动机, 2013, 39(2): 31-38. LIU Xiuhai, DENG Si’er, TENG Hongfei. Kinematics analysis of cages in high-speed cylindrical roller bearings[J]. Aeroengine, 2013, 39(2): 31-38.
[3] CAVALLARO G, NELIAS D, BON F. Analysis of high-speed intershaft cylindrical roller bearing with flexible rings[J]. Tribology Transactions, 2005, 48(2): 154-164.
[4] YOSHIDA T, TOZAKI Y, MIYAKE H, et al. Analysis of cage slip in cylindrical roller bearings considering non-Newtonian behavior and temperature rise of lubricating oil[J]. Journal of Japanese Society of Tribologists, 2008, 53(11): 752-761.
[5] LANIADO-JáCOME E, MENESES-ALONSO J, DIAZ-LóPEZ V. A study of sliding between rollers and races in a roller bearing with a numerical model for mechanical event simulations[J]. Tribology International, 2010, 43(43): 2175-2182.
[6] SELVARAJ A, MARAPPAN R. Experimental analysis of factors influencing the cage slip in cylindrical roller bearing[J]. The International Journal of Advanced Manufacturing Technology, 2011, 53(5): 635-644.
[7] 张占立, 王燕霜, 邓四二, 等. 高速圆柱滚子轴承动态特性分析[J]. 航空动力学报, 2011, 26(2): 397-403. ZHANG Zhanli, WANG Yanshuang, DENG Si’er, et al. Analysis on dynamic characteristics of high speed cylindrical roller bearing[J]. Journal of Aerospace Power, 2011, 26(2): 397-403.
[8] 胡绚, 罗贵火, 高德平. 航空发动机中介轴承的特性分析[J]. 航空动力学报, 2007, 22(3): 439-443. HU Xuan, LUO Guihuo, GAO Deping. Performance analysis of aero engine intershaft bearing[J]. Journal of Aerospace Power, 2007, 22(3): 439-443.
[9] 杨海生, 邓四二, 李晌, 等. 航空发动机主轴高速圆柱滚子轴承保持架柔性动力学仿真[J]. 轴承, 2011(2): 7-11. YANG Haisheng, DENG Si’er, LI Shang, et al. Flexible dynamic simulation on cage of aeroengine high speed cylindrical roller bearings[J]. Bearing, 2011(2): 7-11.
[10] 邓四二, 顾金芳, 崔永存, 等. 高速圆柱滚子轴承保持架动力学特性分析[J]. 航空动力学报, 2014, 29(1): 207-215. DENG Si’er, GU Jinfang, CUI Yongcun, et al. Analysis on dynamic characteristics of cage in high-speed cylindrical roller bearing[J]. Journal of Aerospace Power, 2014, 29(1): 207-215.
[11] 刘红彬, 张帅, 邢国玺, 等. 圆柱滚子轴承滚子打滑机理研究[J]. 轴承, 2014(3): 1-6. LIU Hongbin, ZHANG Shuai, XING Guoxi, et al. Study on skidding mechanism for rollers of cylindrical roller bearings[J]. Bearing, 2014(3): 1-6.
[12] 金海善, 朱爱斌, 陈渭. 利用改进牛顿-拉夫逊法的高速圆柱滚子轴承打滑分析[J]. 西安交通大学学报, 2015, 49(1): 133-138. JIN Haishan, ZHU Aibin, CHEN Wei. Skidding analysis of high-speed cylindrical roller bearings using improved Newton-Raphson method[J]. Journal of Xi’an Jiaotong University, 2015, 49(1): 133-138.
[13] 姚廷强, 黄亚宇, 王立华. 圆柱滚子轴承多体接触动力学研究[J]. 振动与冲击, 2015, 34(7): 15-23. YAO Tingqiang, HUANG Yayu, WANG Lihua. Multibody contact dynamics for cylindrical roller bearing[J]. Journal of Vibration and Shock, 2015, 34(7): 15-23.
[14] 毛宇泽, 王黎钦, 古乐. 负游隙对高速高温薄壁圆柱滚子轴承动态性能的影响分析[J]. 航空动力学报, 2016, 31(11): 2795-2800. MAO Yuze, WANG Liqin, GU Le. Effect of negative clearance dynamic characteristics of high-speed high-temperature thin-walled cylindrical roller bearings[J]. Journal of Aerospace Power, 2016, 31(11): 2795-2800.
[15] PALMGREN A. Ball and roller bearing engineering[M]. Philadelphia: SKF Industries Inc, 1959.
[16] 董富祥, 洪嘉振. 多体系统动力学碰撞问题研究综述[J]. 力学进展, 2009, 39(3): 352-359. DONG Fuxiang, HONG Jiazhen. Review of impact problem for dynamics of multibody system[J]. Advances in Mechanics, 2009, 39(3): 352-359.
[17] 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.
[18] SAKAGUCHI T, HARADA K. Dynamic analysis of cage behavior in a tapered roller bearing[J]. Journal of Tribology, Transaction of the ASME, 2006, 128(3): 604-611.
[19] 王燕霜. 航空润滑油流变特性及其对润滑性能影响的研究[D]. 哈尔滨: 哈尔滨工业大学, 2006.
[20] 平克斯 O, 斯德因李希特 B. 流体动力润滑理论[M]. 北京: 机械工业出版社, 1980.
[21] GHAISAS N, WASSGREN C R, SADEGHI F. Cage instabilities in cylindrical roller bearing[J]. Journal of Tribology, 2004, 126(4): 681-689.