Accurate Contact Modeling of Roller Bearings and its Transient Mechanical Response Analysis Method

doi:10.3901/JME.2024.21.112

Abstract

Abstract: Roller bearings are widely used in rotating systems because of their great load-bearing capacity and compact structure. However, the composite contact form and variable motion state between roller bearing components make the dynamics modeling difficult, and the accuracy of the current general multi-body dynamics software for solving the composite contact of roller bearings is limited by it. In this regard, a five-degree-of-freedom dynamics modeling method for roller bearings based on spatial coordinate system is proposed. Tapered roller bearings, which have the most complex geometric contact characteristics, are chosen for the study. By resolving the instantaneous geometric position relationship between the bearing components, the differential equations of the bearing component dynamics are established, and the WSTIFF I3 solution algorithm is used to ensure the accurate resolution of the composite contact process between the bearing components. Based on the two-roller gravity-free model and the analytical verification under the no-slip speed condition, the simulation results are less than 1% error from the theoretical value. The modeling method and its ability to simulate time-varying contact forces in complex operating conditions provide a new analytical approach to solving contact stresses and life prediction of roller-type bearings.

Key words: tapered roller bearing, modeling method, five-freedom roller, time-varying curve, secondary development

CLC Number:

TG156

LIU Zitan, MA Shuaijun, YAN Ke, FANG Bin, HONG Jun. Accurate Contact Modeling of Roller Bearings and its Transient Mechanical Response Analysis Method[J]. Journal of Mechanical Engineering, 2024, 60(21): 112-121.

References

[1] YANG Lihua，XU Tengfei，XU Haoliang，et al. Mechanical behavior of double-row tapered roller bearing under combined external loads and angular misalignment[J]. International Journal of Mechanical Sciences，2018，142-143：561-574.
[2] ZHANG Chi，GU Le，MAO Yuze，et al. Modeling the frictional torque of a dry-lubricated tapered roller bearing considering the roller skewing[J]. Friction，2019，7(6)：551-563.
[3] KANG Wei，ZHU Yongsheng，YAN Ke，et al. Modeling and fault size estimation for non-penetrating damage in the outer raceway of tapered roller bearing[J]. Machines，2022，10(7)：516.
[4] 刘静，吴昊，邵毅敏，等．考虑内圈挡边表面波纹度的圆锥滚子轴承振动特征研究[J]. 机械工程学报，2018，54(8)：26-34. LIU Jing，WU Hao，SHAO Yimin，et al. Investigation for vibrations of tapered roller bearing considering the surface waviness on the rib of the inner race[J]. Journal of Mechanical Engineering，2018，54(8)：26-34.
[5] 刘永强，王宝森，杨绍普. 含外圈故障的高速列车轴承转子系统非线性动力学行为分析[J]. 机械工程学报，2018，54(8)：17-25. LIU Yongqiang，WANG Baosen，YANG Shaopu. Nonlinear dynamic behaviors analysis of the bearing rotor system with outer ring faults in the high-speed train[J]. Journal of Mechanical Engineering，2018，54(8)：17-25.
[6] LIU Yuwei，FAN Xingyu，WANG Jia，et al. An investigation for the friction torque of a tapered roller bearing considering the geometric homogeneity of rollers[J]. Lubricants，2022，10(7)：154.
[7] WANG Mingkai，YAN Ke，ZHANG Xiaohong，et al. A comprehensive study on dynamic performance of ball bearing considering bearing deformations and ball-inner raceway separation[J]. Mechanical Systems and Signal Processing，2023，185：109826.
[8] 周献文. 双列圆锥滚子轴承力学特性分析与测试试验研究[D]. 大连：大连理工大学，2021. ZHOU Xianwen. Analysis and test study on mechanical properties of double row tapered roller bearings[D]. Dalian：Dalian University of Technology，2021.
[9] 田帅. 基于Adams的风力发电机主轴承动力学行为建模与仿真方法研究[D]. 包头：内蒙古科技大学，2021. TIAN Shuai. Research on dynamic behavior modeling and simulation method of main bearing of wind Turbine based on Adams[D]. Baotou：Inner Mongolia University of Science and Technology，2021.
[10] 马帅军，闫柯，张晓红，等. 滚动轴承运动-接触精确建模与二次开发[J]. 西安交通大学学报，2021，55(8)：33-41. MA Shuaijun，YAN Ke，ZHANG Xiaohong，et al. Accurate motion-contact modeling and secondary development of dynamic bearings[J]. Journal of Xi’an Jiaotong University，2021，55(8)：33-41.
[11] 李琦. 基于ADAMS的角接触球轴承的动力学分析与结构优化[D]. 广州：广东工业大学，2016. LI Qi. Dynamic analysis and structure optimization of Angular contact ball bearing based on ADAMS[D]. Guangzhou：Guangdong University of Technology，2016.
[12] 查浩，任尊松，徐宁. 高速动车组轴箱轴承振动特性[J]. 机械工程学报，2018，54(16)：144-151. ZHA Hao，REN Zunsong，XU Ning. Vibration performance of high-speed vehicles with axle box bearing[J]. Journal of Mechanical Engineering，2018，54(16)：144-151.
[13] DENG Sier，GU Jinfang，CUI Yongcun，et al. Dynamic Simulation analysis of a tapered roller Bearing[D]. Industrial Lubrication and Tribology，2018，70(1)：191-200.
[14] SIMON K，RYAN H M，MOURSITSEN O Ø. A new quasi-static multi-degree of freedom tapered roller bearing model to accurately consider non-Hertzian contact pressures in time-domain simulations[C]// Proceedings of the Institution of Mechanical Engineers，Part K：Journal of Multi-body Dynamics，2014，228(2)：111-125.
[15] HARRIS T A，KOTZALAS M N. Advanced concepts of bearing technology：Rolling bearing analysis[M]. Carabas：CRC Press，2006.
[16] POPLAWSKI J V. Slip and cage forces in a high-speed roller bearing[J]. Journal of Tribology，1972，94(2)：143-150.
[17] 邓四二，贾群义，薛金学. 滚动轴承设计原理[M]. 北京：中国标准出版社，2014. DENG Sier，JIA Qunyi，XUE Jinxue. Rolling bearing design principle[M]. Beijing：China Standards Press，2014.
[18] 罗继伟，罗天宇. 滚动轴承分析计算与应用[M]. 北京：机械工业出版社，2009. LUO Jiwei，LUO Tianyu. Analysis calculation and application of rolling bearing[M]. Beijing：China Machine Press，2019.
[19] 孔令贤. 基于Adams二次开发的复合齿轮传动系统动态接触仿真分析[D]. 哈尔滨：哈尔滨工业大学，2019. KONG Lingxian. Dynamic contact simulation analysis of compound gear transmission system based on Adams secondary development[D]. Harbin：Harbin Institute of Technology，2019.
[20] BRENAN K E，CAMPNELL S L，PETZOLD L R. Numerical solution of initial-value problems in differential- algebraic equations[M]. Philadelphia：Society for Industrial and Applied Mathematics，1995.
[21] 赫雄. ADAMS动力学仿真算法及参数设置分析[J]. 传动技术，2005(3)：27-30. HE Xiong. ADAMS dynamic simulation algorithm and parameter setting analysis[J]. Transmission Technology，2005(3)：27-30.
[22] 李乃成，梅立泉. 数值分析[M]. 北京：科学出版社，2011. LI Naicheng，MEI Liquan. Numerical analysis[M]. Beijing：Science Press，2011.
[23] GEAR C W. The simultaneous numerical solution of differential-algebraic equations[J]. IEEE Transactions on Circuit Theory，1971，18(1)：89-95.
[24] VAN BOKHOVEN W M G.Linear implicit differentiation formulas of variable step and order[J]. IEEE Transactions on Circuits and Systems，1975，22(2)：109-115.