The dynamic effect of moving parts of rolling bearing plays an important role in load distribution and performance of rolling bearing, especially, under variable speed conditions.Here, taking a deep groove ball bearing as the study object, its dynamic model was established considering clearance, centrifugal force and gravity of rolling element, dynamic effect of rolling element and inner race.The operation process of the rolling bearing under acceleration condition was dynamically simulated to analyze dynamic load distribution characteristics of rolling element and their mechanism under the action of radial loads, and effects of clearance, inner race mass and angular acceleration on dynamic load of rolling element were revealed.The study results showed that under acceleration condition, the load distribution curve of rolling element is no longer symmetric along the load action line and has fluctuates with different degrees, especially, in the late stage of acceleration process; the maximum contact load of rolling element basically keeps unchanged in the early stage of acceleration process, but fluctuates and rises in the later stage, and the unstable motion of inner race in acceleration process causes the change of contact load of rolling element; the change degree of dynamic load in acceleration process increases with increase in radial clearance and inner race mass, and increase in angular acceleration makes the change of dynamic load more severe in the later stage of acceleration process; the study results can provide a theoretical basis for load calculation and design of rolling bearing.
TU Wenbing, LIANG Jie, LUO Ya, ZHOU Jianmin, ZHOU Shengtong.
Dynamic load characteristics of rolling bearing under acceleration condition[J]. Journal of Vibration and Shock, 2021, 40(9): 152-159
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参考文献
［1］STRIBECK R.Ball bearing for various loads ［J］.Transactions of the ASME，1907，29：420-463.
［2］SJOVALL H.The load distribution within ball and roller bearings under given external radial and axial load ［J］.Teknisk Tidskrift，1933，19(3)：72-75.
［3］JONES A B.Ball motion and sliding friction in ball bearings ［J］.Journal of Basic Engineering，1959，81(1)：1-12.
［4］HARRIS T A，MINDEL M H.Rolling element bearing dynamics ［J］.Wear，1973，23(3)：311-337.
［5］盛夏，李蓓智，张亚伟.高速滚动球轴承动态载荷计算改进方法的研究［J］.振动与冲击，2015，34(3)：161-166.
SHENG Xia，LI Beizhi，ZHANG Yawei.A simplified approach for calculation of rolling ball bearing internal dynamic load distribution ［J］.Journal of Vibration and Shock，2015，34(3)：161-166.
［6］王燕霜，袁倩倩.负游隙对特大型双排四点接触球轴承载荷分布的影响［J］.机械工程学报，2012，48(21)：110-115.
WANG Yanshuang，YUAN Qianqian.Influence of negative clearance on load distributions of large-size double row four-point-contact ball bearings ［J］.Journal of Mechanical Engineering，2012，48(21)：110-115.
［7］白晓波，吉晓民，王毅.滚针轴承载荷分布影响因素的分析及其优化［J］.机械科学与技术，2014，33(8)：1186-1191.
BAI Xiaobo，JI Xiaomin，WANG Yi.Analysis and optimization of load distribution influence factors of needle bearings ［J］.Mechanical Science and Technology for Aerospace Engineering，2014，33(8)：1186-1191.
［8］傅田，赵柏森.高速滚动轴承的负荷分布研究［J］.机械强度，2016，38(1)：133-137.
FU Tian，ZHAO Baisen.Finite element analysis of 3-D helical gear dynamic contact characteristics ［J］.Journal of Mechanical Strength，2016，38(1)：133-137.
［9］杜静，代学良，杨显刚，等.螺栓预紧力对大型双排四点接触球轴承载荷分布的影响［J］.太阳能学报，2017，38(10)：2645-2651.
DU Jing，DAI Xueliang，YANG Xiangang，et al.Influence of bolt pretension on load distribution of large type double row four-point-contact ball bearing ［J］.Acta Energiae Solaris Sinica，2017，38(10)：2645-2651.
［10］侯光辉，陈观慈，李超，等.螺栓预紧力对转盘轴承内部载荷分布的影响研究［J］.机械制造，2018，56(7)：48-51.
HOU Guanghui，CHEN Guanci，LI Chao，et al.Research on influence of bolt preload on load distribution inside turntable bearing ［J］.Machinery，2018，56(7)：48-51.
［11］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.
［12］张进华，方斌，朱永生，等.基于球-滚道非完全接触状态下的球轴承载荷分布计算及刚度特性研究［J］.机械工程学报，2020，56(9)：73-83.
ZHANG Jinhua，FANG Bin，ZHU Yongsheng，et al.Investigation of the load distribution and stiffness characteristic of ball bearing under ball-raceway separation condition ［J］.Journal of Mechanical Engineering，2020，56(9)：73-83.
［13］DAIDI A，CHAIB Z，GHOSN A.3D simplified finite elements analysis of load and contact angle in a slewing ball bearing ［J］.Journal of Mechanical Design，2008，130(8)：082601.
［14］LI Xu，YU Kun，MA Hui，et al.Analysis of varying contact angles and load distributions in defective angular contact ball bearing ［J］.Engineering Failure Analysis，2018，91：449-464.
［15］OLAVE M，SAGARTZAZU X，DAMIAN J，et al.Design of four contact-point slewing bearing with a new load distribution procedure to account for structural stiffness ［J］.Journal of Mechanical Design，2010，132(2)：021006.
［16］JIN Chao，WU Bo，HU Youmin.Heat generation modeling of ball bearing based on internal load distribution ［J］.Tribology International，2012，45(1)：8-15.
［17］HERAS I，AGUIRREBEITIA J，ABASOLO M，et al.Load distribution and friction torque in four-point contact slewing bearing considering manufacturing errors and ring flexibility ［J］.Mechanism and Machine Theory，2019，137：23-36.
［18］WANG Wenzhong，HU Lang，ZHANG Shengguang，et al.Modeling angular contact ball bearing without raceway control hypothesis ［J］.Mechanism and Machine Theory，2014，82：152-172.
［19］ZHANG Jinhua，FANG Bin，HONG Jun，et al.Effect of preload on ball-raceway contact state and fatigue life of angular contact ball bearing ［J］.Tribology International，2017，114：365-372.
［20］PETERSEN D，HOWARD C，PRIME Z.Varying stiffness and load distributions in defective ball bearings: analytical formulation and application to defect size estimation ［J］.Journal of Sound and Vibration，2015，337：284-300.
［21］MOAZEN A，PETERSEN D，HOWARD C.A nonlinear dynamic vibration model of defective bearings: the importance of modelling the finite size of rolling elements ［J］.Mechanical Systems & Signal Processing，2015，52/53：309-326.
［22］王云龙，王文中，卿涛，等.角接触球轴承-转子加减速过程动力学分析［J］.机械工程学报，2018，54(9)：9-16.
WANG Yunlong，WANG Wenzhong，QING Tao，et al.Dynamic analysis of angular contact ball bearing-rotor system during start up and shut down ［J］.Journal of Mechanical Engineering，2018，54(9)：9-16.
［23］曹伟，王家序，蒲伟，等.加速工况下圆柱滚子轴承运动特性［J］.中南大学学报(自然科学版)，2018，49(3)：583-591.
CAO Wei，WANG Jiaxu，PU Wei，et al.Kinetic characteristics of cylindrical roller bearing during acceleration ［J］.Journal of Central South University (Science and Technology)，2018，49(3)：583-591.
［24］HARRIS T A，KOTZALAS M N.Rolling bearing analysis ［M］.Boca Raton: Taylor & Francis，2007.
［25］BREWE D E，HAMROCK B J.Simplified solution for elliptical-contact deformation between two elastic solids ［J］.Journal of Lubrication Technology，1977，99(4)：485-487.
［26］SOPANEN J，MIKKOLA A.Dynamic model of a deep-groove ball bearing including localized and distributed defects, Part 1: theory ［J］.Proceedings of the Institution of Mechanical Engineers，Part K: Journal of Multi-body Dynamics，2003，217(3)：201-211.
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