考虑滚子位置变化的圆柱滚子轴承非线性刚度特性分析

摘要/Abstract

摘要： 以圆柱滚子轴承为研究对象，考虑轴承运转过程中滚子周向位置分布的周期性变化，对经典圆柱滚子轴承载荷分布理论进行改进，并对由此引起的轴承刚度时变特性进行分析，同时研究圆柱滚子轴承平均刚度及平均接触滚子数随径向力的非线性变化规律。为了对改进理论算法进行验证，采用有限元接触分析方法对圆柱滚子轴承刚度及滚子接触状态进行分析。研究结果表明，改进理论算法和有限元接触法均能准确预测轴承瞬时刚度的时变特性及平均刚度随径向力的非线性变化特性，同时证明轴承平均接触滚子数的改变是轴承刚度变化的根源。基于改进理论算法进而分析轴承初始径向游隙、径向力、滚子设计数量等关键参数对圆柱滚子轴承性能的定量影响规律。

关键词: 圆柱滚子轴承, 时变轴承刚度, 非线性, 平均接触滚子数

Abstract: Taking the cylindrical roller bearings as the research object, considering the periodic variation of the roller positions in the circumferential direction during bearing rotating, the classical theory of the load distribution for the cylindrical roller bearings was modified.The time-varying characteristics of bearing stiffness as well as the nonlinear variations of average bearing stiffness and average contacted roller numbers with radial forces were analyzed.In order to verify the accuracy of the modified theoretical method, a finite element/contact mechanics method was utilized to analyze the cylindrical roller bearing stiffnesses and roller contact conditions.The results show that both of the modified theoretical method and the finite element/contact mechanics method may accurately predict the time-varying characteristics of the instantaneous bearing stiffness and the nonlinear features of the mean bearing stiffness.The results also verify that the changes of average contacted roller numbers are the primary factor of bearing stiffness variations.Based on the modified theoretical method, the influences of bearing initial radial clearances, radial forces and the number of designed bearing rollers on bearing characteristics are further conducted quantificationally.

Key words: cylindrical roller bearing, time-varying bearing stiffness, nonlinear, average contacted roller number

中图分类号:

TH133

刘光辉1;洪军1;孙岩辉1;吴文武2. 考虑滚子位置变化的圆柱滚子轴承非线性刚度特性分析[J]. 中国机械工程.

LIU Guanghui1;HONG Jun1;SUN Yanhui1;WU Wenwu2. Nonlinear Stiffness Characteristic Analysis of Cylindrical Roller Bearings Considering Variation of Roller Positions[J]. China Mechanical Engineering.

参考文献

[1]HARRIS T A.Rolling Bearing Analysis[M].New York:John Wiley & Sons, Inc., 2001.

[2]黄浩, 张鹏顺, 温建民.高速圆柱滚子轴承的刚度研究[J].中国机械工程, 2001, 12(11):1245-1247.

HUANG Hao, ZHANG Pengshun, WEN Jianmin.Study on Stiffness for High-speed Cylindrical Roller Bearing[J].China Mechanical Engineering, 2001, 12(11):1245-1247.

[3]陈家庆, 周海, 吴世勤.圆柱滚子轴承载荷分布的理论研究[J].轴承, 2001(6):8-11.

CHEN Jiaqing, ZHOU Hai, WU Shiqin.Study on the Distribution of Load in Spherical Roller Bearing[J].Bearing, 2001(6):8-11.

[4]李伟建, 潘存云, 王荣吉.空心圆柱滚子轴承刚度分析[J].中国机械工程, 2009, 20(7):795-798.

LI Weijian, PAN Cunyun, WANG Rongji.Stiffness Analysis of Hollow Cylindrical Roller Bearings[J].China Mechanical Engineering, 2009, 20(7):795-798.

[5]GUO Y, PARKER R G.Stiffness Matrix Calculation of Rolling Element Bearings Using a Finite Element/Contact Mechanics Model[J].Mechanism & Machine Theory, 2012, 51(5):32-45.

[6]LIU Guanghui, HONG Jun, WU Wenwu, et al.Investigation on the Influence of Interference Fit on the Static and Dynamic Characteristics of Spindle System[J].International Journal of Advanced Manufacturing Technology, 2018, 99(5):1953-1966.

[7]韩勤锴, 李兴林, 闫国斌，等.变载偏斜圆柱滚子轴承打滑动力学分析[J].机械工程学报, 2017, 53(9):58-65.

HAN Qinkai, LI Xinglin, YAN Guobin, et al.Dynamic Skidding Behavior of Skew Cylindrical Roller Bearings under Time-variable Loads[J].Journal of Mechanical Engineering, 2017, 53(9):58-65.

[8]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.

[9]HONG Jun, LIU Guanghui, LI Xiaohu, et al.Influence of Bearing Configuration on Spindle Modal Characteristics[C]//Proceedings of the ASME International Mechanical Engineering Congress & Exposition.Montreal, 2014:V02AT02A045.

[10]汪久根, 徐鹤琴.深沟球轴承内部载荷序列与寿命计算[J].机械工程学报, 2017, 53(15):131-140.

WANG Jiugen, XU Heqin.Load Sequence and Life Analysis of Deep Groove Ball Bearing[J].Journal of Mechanical Engineering, 2017, 53(15):131-140.

[11]姚廷强, 迟毅林, 黄亚宇, 等.滚动轴承刚柔多体接触动力学分析[J].中国机械工程, 2008, 19(16):1924-1928.

YAO Tingqiang, CHI Yilin, HUANG Yayu, et al.Rigid and Flexible Contact Dynamics Analysis on Rolling Bearing[J].China Mechanical Engineering, 2008, 19(16):1924-1928.

[12]AKTURK N, UNEEB M, GOHAR R.The Effects of Number of Balls and Preload on Vibrations Associated with Ball Bearings[J].Journal of Tribology, 1997, 119(4):747-753.

[13]ZHANG X, HAN Q, PENG Z, et al.Stability Analysis of a Rotor-bearing System with Time-varying Bearing Stiffness Due to Finite Number of Balls and Unbalanced Force[J].Journal of Sound & Vibration, 2013, 332(25):6768-6784.

[14]曹宏瑞, 李亚敏, 何正嘉, 等.高速滚动轴承-转子系统时变轴承刚度及振动响应分析[J].机械工程学报, 2014, 50(15):73-81.

CAO Hongrui, LI Yamin, HE Zhengjia, et al.Time Varying Bearing Stiffness and Vibration Response Analysis of High Speed Rolling Bearing-rotor Systems[J].Journal of Mechanical Engineering, 2014, 50(15):73-81.

[15]ELSAEIDY F M A.Time-varying Total Stiffness Matrix of a Rigid Machine Spindle-angular Contact Ball Bearings Assembly:Theory and Analytical/Experimental Verifications[J].Shock & Vibration, 2015, 18(5):641-670.

[16]张学宁, 韩勤锴, 褚福磊.含双频时变滚动轴承刚度的转子-轴承系统响应特征研究[J].振动与冲击, 2017, 36(13):116-121.

ZHANG Xuening, HAN Qinkai, CHU Fulei.Response Characteristics of a Rotor-bearing System with Double-frequency Time-varying Bearing Stiffness[J].Journal of Vibration & Shock, 2017, 36(13):116-121.

[17]陈於学, 杨曙年.圆柱滚子轴承的动载荷分布[J].轴承, 2007(1):9-11.

CHEN Yuxue, YANG Shunian.Dynamic Load Distribution of Cylindrical Roller Bearing[J].Bearing, 2007(1):9-11.

[18]SHARMA A, AMARNATH M, KANKAR P K.Effect of Varying the Number of Rollers on Dynamics of a Cylindrical Roller Bearing[C]//ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.Buffalo, 2014:V008T11A067.

[19]LIEW H V, LIM T C.Analysis of Time-varying Rolling Element Bearing Characteristics[J].Journal of Sound & Vibration, 2005, 283(3/5):1163-1179.

[20]YANG J, LIM T C.Dynamics of Coupled Nonlinear Hypoid Gear Mesh and Time-varying Bearing Stiffness Systems[J].SAE International Journal of Passenger Cars:Mechanical Systems, 2011, 4(2):1039-1049.

[21]SHI Z, LIM T C.Nonlinear Time-varying DynamicInteractions of Hypoid Gear-shaft-bearing Systems[J].SAE International Journal of Vehicle Dynamics, Stability, and NVH, 2017, 1(2):372-383.
[22]GUO Y, ERITENEL T, ERICSON T M, et al.Vibro-acoustic Propagation of Gear Dynamics in a Gear-bearing-housing System[J].Journal of Sound and Vibration, 2014, 333(22):5762-5785.