圆柱滚子轴承多体接触动力学研究

PDF(4152 KB)

振动与冲击 ›› 2015, Vol. 34 ›› Issue (7) : 15-23.

论文

圆柱滚子轴承多体接触动力学研究

考虑滚子和套圈、滚子和保持架、保持架和引导套圈的动态接触关系，提出了机械系统中圆柱滚子轴承多体动力学分析的新方法。基于圆柱套圈滚道的三角网格模型，实现了圆柱滚子和套圈滚道的动态接触力的预测搜索算法，进而建立了计及润滑摩擦作用和Hertz接触作用的圆柱滚子轴承的三维多体接触全动力学模型。运用广义-α方法计算分析了不同工况条件下圆柱滚子轴承的动态特性和保持架的稳定性，获得了不同工况下轴承的运动轨迹、角速度、滚子和倾斜扭转振动、动态接触力，拖动力和相轨迹等动态响应的变化规律。计算结果表明低速或较小径向力下，滚子和保持架的拖动力相对较小且不稳定，滚子和保持架侧梁、外圈挡边之间存在明显的频繁接触冲击作用，内圈中心的振动位移相对较大，保持架中心的径向平面运动轨迹形成不稳定的近似圆周运动，圆柱滚子轴承的运动稳定性相对较差。随着转速或旋转径向力的增加，保持架中心的径向平面运动轨迹为圆周运动和单周期的相轨迹运动，保持架中心的轴向振动明显，滚子倾斜扭转振动相对较小。

作者信息 +

Multibody Contact Dynamics Research on Cylindrical Roller Bearing

Considering the dynamic contact relationship between rollers, rings and cage, a new method is brought out for multibody dynamics analysis and dynamic design of cylindrical roller bearings in mechanical systems. Based on the triangle mesh models of ring races, the searching algorithm for prediction of dynamic contact force is carried out. The three dimensional multibody contact dynamics model of cylindrical roller bearing is constructed with lubrication friction and Hertz contact .The dynamic characteristics and stability of cage are calculated by generalized-α algorithms under different conditions. The results of trajectory of motion, angular velocity, tilt and torsional vibration of rollers, dynamic contact-impact force, drag force and phase diagram are achieved. Under low speed or small radial force, the motion of cylindrical roller bearing is unstable. The drag force is relative small and unstable, there’re the frequently contact-impact between rollers, cage and rings, the vibration displacements of inner’s center are relative large, the radial plane motion of cage is unstable and approximate circular motion. The angular speed or rotate radial force is increasing gradually, the radial plane motion of cage is stable circular motion and single periodic phase motion, the axial vibration of cage is obvious and the tilt and torsional vibration of rollers are relative small.

Author information +

文章历史 +

摘要

考虑滚子和套圈、滚子和保持架、保持架和引导套圈的动态接触关系，提出了机械系统中圆柱滚子轴承多体动力学分析的新方法。基于圆柱套圈滚道的三角网格模型，实现了圆柱滚子和套圈滚道的动态接触力的预测搜索算法，进而建立了计及润滑摩擦作用和Hertz接触作用的圆柱滚子轴承的三维多体接触全动力学模型。运用广义-α方法计算分析了不同工况条件下圆柱滚子轴承的动态特性和保持架的稳定性，获得了不同工况下轴承的运动轨迹、角速度、滚子和倾斜扭转振动、动态接触力，拖动力和相轨迹等动态响应的变化规律。计算结果表明低速或较小径向力下，滚子和保持架的拖动力相对较小且不稳定，滚子和保持架侧梁、外圈挡边之间存在明显的频繁接触冲击作用，内圈中心的振动位移相对较大，保持架中心的径向平面运动轨迹形成不稳定的近似圆周运动，圆柱滚子轴承的运动稳定性相对较差。随着转速或旋转径向力的增加，保持架中心的径向平面运动轨迹为圆周运动和单周期的相轨迹运动，保持架中心的轴向振动明显，滚子倾斜扭转振动相对较小。

Abstract

Considering the dynamic contact relationship between rollers, rings and cage, a new method is brought out for multibody dynamics analysis and dynamic design of cylindrical roller bearings in mechanical systems. Based on the triangle mesh models of ring races, the searching algorithm for prediction of dynamic contact force is carried out. The three dimensional multibody contact dynamics model of cylindrical roller bearing is constructed with lubrication friction and Hertz contact .The dynamic characteristics and stability of cage are calculated by generalized-α algorithms under different conditions. The results of trajectory of motion, angular velocity, tilt and torsional vibration of rollers, dynamic contact-impact force, drag force and phase diagram are achieved. Under low speed or small radial force, the motion of cylindrical roller bearing is unstable. The drag force is relative small and unstable, there’re the frequently contact-impact between rollers, cage and rings, the vibration displacements of inner’s center are relative large, the radial plane motion of cage is unstable and approximate circular motion. The angular speed or rotate radial force is increasing gradually, the radial plane motion of cage is stable circular motion and single periodic phase motion, the axial vibration of cage is obvious and the tilt and torsional vibration of rollers are relative small.

导出引用

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 Research on Cylindrical Roller Bearing[J]. Journal of Vibration and Shock, 2015, 34(7): 15-23

参考文献

[1] 李松生，杨柳欣，张钢.高速轴系圆柱滚子轴承-转子系统动力学的研究与发展[J].轴承.2005.4:34-37.
LI Song-sheng, YANG Liu-xing, ZHANG Gang. Research and development on dynamics of high speed ball bearings-spindle systems [J]. Bearing,2005,4:34-37.
[2] 汪久根,王庆九,章维明.滚动轴承动力学的研究[J].轴承，2007,(3):40-45.
WANG Jiu-gen, WANG Qing-jiu, ZHANG Wei-ruing. Study on Dynamics of Rolling Bearings[J]. Bearing, 2007,(3):40-45.
[3] 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 Jian-zhong，MA Guo-han. Research progress oil dynamics of rolling bearing cages[J]. Bearing. 2011.1:56-60.
[4] 张志华, 邓四二, 周彦伟等. 高速圆柱滚子轴承保持架动力学分析[J].河南科技大学学报.自然科学版.2006.2:16-19.
ZHANG Zhi-hua,DENG Si-er, ZHouYan-wei,et al. Dynamics Analysis of High-Speed Cylindrical Roller Bearing Cage[J].Journal of Henan University of Science and Technology: Natural Science, ,2011,(2):7-11.
[5] 薛峥, 汪久根, Rymuza Z等. 圆柱滚子轴承的动力学分析[J]. 轴承, 2009,7:1-6.
XUE Zheng, WANG Jiu-gen, Rymuza Z, et al. Dynamic Analysis on Cylindrical Roller Bearings[J].Bearing, , 2009,7:1-6.
[6] 苏敏, 付金辉, 郑红威等. 高速薄壁圆柱滚子轴承拟静力学分析[J].轴承，2010.10:1-4.
SU Min, FU Jin-hui, ZHENG Hong-wei, et al. Quasi-static Analysis on High-speed Cylindrical Roller Bearing with Thin- walled Rings[J].Bearing,2010.10:1-4.
[7] 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 Yu-xue, YANG Shu-nian. Load distribution of roller bearings[J].Bearing,2007,1:9-11.
[8] 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):397-404.
ZHANG Zhan-li, WANG Yan-shuang, DENG Si-er, et al. Analysis on dynamic characteristics of high speed cylindrical roller bearing[J]. Journal of Aerospace Power,2011,26(2):397-404.
[9] HARRIS T. Rolling bearing analysis[M]. 4th ed. New York: Wiley-Interscience, 2001.
[10] H. Rubio, J.C.Garcia Prada, C.Castejon .Dynamic analysis of rolling bearing system using Lagrangian model Vs. FEM code. 12th IFToMM World Congress, Besançon (France), 2007.6:18-21.
[11] ZHAO H. Analysis of load distribution within solid and hollow roller bearings[J]. ASME Trans. J. Tribol., 1998, 120:134-139.
[12] DEMIRHAN N, KANBER B. Stress and displacement distributions on cylindrical roller bearing rings using FEM[J]. Mechanics Based Design of Structures and Machines, 2008, 36 (1):86-102.
[13] 徐弘毅张晨辉.基于塑性材料模型的滚动轴承有限元分析[J].机械工程学报,2010,(46)11:29-35.
XU Hongyi ZHANG Chenhui. Finite Element Analysis of Roller Bearing Based on the Plastic Material Models[J]. Journal of mechanical engineering,2010,(46)11:29-35.
[14] 童宝宏,刘颖,程新明等. 轴颈倾斜时滚柱轴承动态接触特性的有限元分析[J].农业工程学报,2012,28 (13):42-47.
Tong Bao-hong, Liu Ying, Cheng Xin-ming, et al. Finite-element analysis on dynamic contact characteristics of cylindrical roller bearing considering misalignment with journal[J]. Transactions of the Chinese Society of Agricultural Engineering,,2012,28 (13):42-47.
[15] Gupta P K. Advanced Dynamics of Rolling Elements[M]. Springer Verlag, New York, 1984.
[16] 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]：[博士学位论文].大连：大连理工大学，2011.
LIU Xiu-hai. Dynamies analysis model of high-speed rolling bearing and dynamic performance of cages[D][PHD Thesis]. DA Lian:Dalian University of Technology,2011.
[17] 张风琴,杜辉,邓四二等.基于ADAMS的圆柱滚子轴承仿真分析[J].轴承,2009,30(2):15-19.
ZHANG Feng-Qin, DU Hui, DENG Si-er, et al. Simulat ion Analysis of Cy lindr ical Roller Bearing on ADAMS[J].Bearing, 2009,30(2):15-19.
[18] 李晌,蒋新力,姜艳红等.高速圆柱滚子轴承柔性保持架的动力学分析[J].轴承,2010,(7):1-5.
LI Shang，JIANG Xin-li ，JIANG Yan-hong, et al. Dynamic Analysis on Flexible Cage in High Speed Cylindrical Roller Bearing[J].Bearing, ,2010,(7):1-5.
[19] 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体动力学仿真[J].轴承,2011,(2):7-11.
YANG Hai-shen, DENG si-er, LI Shan, et al. Flexible Dynamic Simulation on Cage of Aeroengine High Speed Cylindrical Roller Bearings[J].Bearing,2011,(2):7-11.
[20] 陈小安，刘俊峰，陈宏等.计及套圈变形的电主轴角接触球轴承动刚度分析[J].振动与冲击,2013,32(2):81-85.
CHEN Xiao-an,LIU Jun-feng,CHEN Hong,et al.Dynamic stiffness analysis for motorized-spindle angular contact ball bearings considering ferrule deformation[J].Journal of Vibration and Shock,2013,32(2):81-85.
[21] 姚廷强,迟毅林,王立华等.球轴承柔性多体动力学分析与接触振动研究[J].振动与冲击,2009,28(10):158-162.
Yao Tingqiang,Chi Yilin,Wang Lihua, et al. Contact Vibration and Dynamics Analysis on Flexible multibdoy Ball Bearing[J]. Journal of Vibration and Shock,2009,28(10):158-162.
[22] 姚廷强, 王立华, 迟毅林等. 球轴承多体接触动力学研究[J]. 航空动力学报, 2013,28(7):1624-1636.
YAO Ting-qiang，WANG Li-hua，ChI Yi-lin, et al. Multibody contact dynamics research on ball bearing[J].Journal of Aerospace Power, , 2013,28(7):1624-1636.