高速圆柱滚子轴承保持架运行稳定性分析

王自彬 1,邓四二 1, 2,张文虎 1,黄晓敏 3

振动与冲击 ›› 2019, Vol. 38 ›› Issue (9) : 100-108.

PDF(4655 KB)
PDF(4655 KB)
振动与冲击 ›› 2019, Vol. 38 ›› Issue (9) : 100-108.
论文

高速圆柱滚子轴承保持架运行稳定性分析

  • 王自彬 1,邓四二 1, 2 ,张文虎 1,黄晓敏 3
作者信息 +

Operational stability analysis for cage of high-speed cylindrical roller bearings

  • DENG Sier 1,2   WANG Zibin 1  ZHANG Wenhu 1  HUANG Xiaomin3
Author information +
文章历史 +

摘要

基于滚动轴承动力学理论,建立了高速圆柱滚子轴承的非线性动力学微分方程组,采用预估-校正的GSTIFF(Gear stiff)变步长积分算法对其进行求解,使用盒维数评价保持架质心轨迹的混乱程度,研究了保持架间隙比、轴承转速、轴承径向载荷、轴承径向游隙以及滚子个数等因素对保持架运行稳定性的影响。研究结果表明:盒维数能够发现相似保持架心轨迹之间的差别,并对保持架稳定性进行量化描述;较大的保持架间隙比不利于保持架的稳定运行,存在最佳间隙比使保持架质心轨迹涡动效果最好,保持架运行最稳定;内圈转速较低时,保持架质心不发生涡动,质心轨迹非常混乱,保持架运行不稳定;随着转速、滚子个数的增加,保持架运行稳定性增加;随着径向载荷、径向游隙的增加,保持架运行稳定性先增大后减小。

Abstract

Based on the dynamics theory of the rolling bearing, the nonlinear dynamic differential equations of high-speed cylindrical roller bearing were established and solved by the predicted-corrected GSTIFF(Gear stiff) integer algorithm with variable steps. Box dimension was used to evaluate the disorder level of orbits of cage's mass center. The influence of cage’s clearance ratio, bearing speed, bearing radial load, bearing radial clearance and the number of rollers on cage operational stability was investigated. The results show that: Box dimension can find the difference between similar orbits of cage’s mass center and describe the operational stability of cage quantitatively; Larger cage’s clearance ratio is not beneficial to cage’s stable operation, and there is an optimum clearance ratio that can make orbits of cage’s mass center whirl in the best effect, and the operation of the cage in the most stable state ; the mass center of cage doesn’t whirl when the rotation speed of inner ring is lower, and the cage center-of-mass orbits is complex, the operation of the cage is unstable; the operational stability of cage increased with the increase of rotation speed and the number of rollers; the operational stability of cage increased firstly and then decreased with the increase of radial load and radial internal clearance.
 

关键词

圆柱滚子轴承 / 保持架运行稳定性 / 动力学 / 盒维数 / 保持架质心轨迹

Key words

cylindrical roller bearing / stability of cage / dynamics / box dimension / orbit of cage’s mass center

引用本文

导出引用
王自彬 1,邓四二 1, 2,张文虎 1,黄晓敏 3. 高速圆柱滚子轴承保持架运行稳定性分析[J]. 振动与冲击, 2019, 38(9): 100-108
DENG Sier 1,2 WANG Zibin 1 ZHANG Wenhu 1 HUANG Xiaomin3 . Operational stability analysis for cage of high-speed cylindrical roller bearings[J]. Journal of Vibration and Shock, 2019, 38(9): 100-108

参考文献

[1] 焦育洁, 吕新生, 张锡昌. 航空发动机主轴圆柱滚子轴承典型故障分析[J]. 轴承, 2003(12):29-30.
JIAO Yujie, LV Xinsheng, ZHANG Xicheng. Analysis on typical fault of cylindrical roller bearing of aero-engine spindle[J]. Bearing, 2003(12):29-30.
[2] Ghaisas N, Wassgren C R, Sadeghi F. Cage Instabilities in Cylindrical Roller Bearings[J]. Journal of Tribology, 2004, 126(4):681-689.
[3] Gupta P K. Advanced Dynamics of Rolling Elements[M]. Springer-Verlag, 1984.
[4] Gupta P K. Dynamics of rolling bearing: part I-II[J]. Jour Lub Tech ASME Trans, 1979:298-311.
[5] Gupta P K. Cage unbalance and wear in ball bearings[J]. Wear, 1991, 147(1):93-104.
[6] Crawford R. Meeks. The Dynamics of Ball Separators in Ball Bearings—Part II: Results of Optimization Study [J]. Tribology Transactions, 1985, 28(3):288-295.
[7] Rivera M P. Bearing-Cage Frictional Instability—A Mechanical Model[J]. Tribology Transactions, 1991, 34(1):117-121.
[8] Tada S. Dynamic analysis of sound, vibration and motion of cage in high speed ball bearings[J]. KOYO Engineering Journal, 2001, 160:31-38.
[9] Takafumi Y, Yasuyoshi T, Hisao M, et al. Analysis of cage slip in cylindrical roller bearing considering Non-Newtonian behavior and temperature rise of lubricating oil[J]. Japanese Journal of Tribology, 2008, 53(6):647-662.
[10] Zhang W H, Deng S E, Chen G D, et al. Influence of lubricant traction coefficient on cage’s nonlinear dynamic behavior in high-speed cylindrical roller bearing[J]. Journal of Tribology, 2017, 139(6):061502-1.
[11] 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 Sier, 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.
[12] 刘秀海, 邓四二, 滕弘飞. 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 Sier, TENG Hongfei. Kinematics Analysis of Cages in High-Speed Cylindrical Roller Bearings[J]. Aeroengine, 20013, 39(2):31-38.
[13] 姜维, 靳国栋, 潘钢锋. 专用电机轴承保持架稳定性试验分析[J]. 轴承, 2009(1):36-38.
JIANG Wei, JIN Guodong, PAN Gangfeng. Experime- ntal analysis on stability of cages in dedicated motor bearing[J]. Bearing, 2009(01):36-38.
[14] 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):19-24.
HUANG Dishan. Detection and Characteristic Analysis for Mass Center Orbit of Bearing Cage[J]. China Mechanical Engineering, 2012, 23(15): 1779-1784.
[15] 胡家信. 分形分析引论[M]. 科学出版社, 2013.8
HU Jiaxin. An introduction to the fractal analysis[M]. Science Press, 2013. 8.
[16] 谭晶, 储著金, 顾志鑫,等. 基于盒维数的保持架质心轨迹稳定性分析[J]. 轴承, 2014(5):37-40.
TAN Jing, CHU Zhujin, GU Zhixin, et al. Analysis on Stability of Mass Center Trajectory for Cages Based on Box Dimension[J]. Bearing, 2014(5):37-40.
[17] 李曙光, 张梅军, 陈江海. 基于小波包和分形盒维数的滚动轴承故障诊断[J]. 机械, 2010, 37(8):21-23.
LI Shuguang, ZHANG Meijun, CHEN Jianghai. Application of wavelet packet and fractal box-counting dimension in fault diagnosis of rolling bearing[J]. Machinery, 2010, 37(8):21-23.
[18] 郝研, 王太勇, 万剑,等. 分形盒维数抗噪研究及其在故障诊断中的应用[J]. 仪器仪表学报, 2011, 32(3):540-545.
HAO Yan, WANG Taiyong, WANG Jian, et al. Research on fractal box dimension anti-noise performance and its application in fault diagnosis[J]. Chinese Journal of Scientific Instrument, 2011, 32(3):540-545.
[19] Cao Y P, Ying Y L, Li J C, et al. Study on roller bearing fault diagnosis approach based on improved generalized fractal box-counting dimension and adaptive gray relation algorithm[J]. Advances in Mechanical Engineering, 2016, 8(10):132-143.
[20] YANG Hai-sheng, CHENG Guo-ding, DENG Si-er, et al. Analysis of the roller-race contact deformation of cylindrical roller bearing using a improved slice method[C]. Jilin, IEEE Computer Society. 2011: 711-714.
[21] Zhang W H, Deng S E, Chen G D, et al. Study on the impact of roller convexity excursion of high-speed cylindrical roller bearing on roller's dynamic characteristics[J]. Mechanism & Machine Theory, 2016, 103:21-39.
[22] 王东升, 汤鸿霄, 栾兆坤. 分形理论及其研究方法[J]. 环境科学学报, 2001, 1(s1):10-16.
WANG Dongsheng, TANG Hongxiao, LUAN Zhaokun. A brief introduction to the fractal theory and methodology[J]. Acta Science Circumstantiae, 2001, 1(s1):10-16.
[23] Eric J O, James C R. A simple example concerning the upper Box-Counting Dimension of a Cartesian prod uct[J]. Real Analysis Exchange, 2015, 40(2):449-454.

PDF(4655 KB)

736

Accesses

0

Citation

Detail

段落导航
相关文章

/