| Citation: | WANG Lin, GUO Yu. Dynamic modeling of IAS for outer raceway spalling in main bearings subjected to time-varying load[J]. Journal of Aerospace Power, 2026, 41(5):20250213 doi: 10.13224/j.cnki.jasp.20250213 |
In view of the problem of outer raceway spalling in the main bearing of industrial robot rotary vector (RV) reducers under time-varying load conditions, a dynamic model of outer raceway spalling under time-varying loads was proposed based on instantaneous angular speed (IAS). The time-varying loads generated during robotic arm motion and the influence of impact forces caused by outer raceway spalling on additional torque were considered. The Runge-Kutta numerical integration method was employed to solve the dynamic equations, and the correctness of the dynamic model was verified through comparative analysis of simulated and measured signals. The research showed that the disturbance waveform in IAS signals caused by faults was clearer under low-speed and heavy-load conditions. Additionally, the IAS-based method for estimating bearing spalling size was unaffected by speed fluctuations, making it more suitable for spalling size estimation under variable-speed conditions. The findings contributed to improving the dynamic theory of fault detection methods for main bearings in industrial robot joints based on IAS.
| [1] |
黄健. RV减速器传动构件与轴承一体化设计理论及实验研究[D]. 重庆: 重庆大学, 2021. HUANG Jian. Theoretical and experimental research on integrated design of transmission components and bearings of RV reducer[D]. Chongqing: Chongqing University, 2021. (in Chinese
HUANG Jian. Theoretical and experimental research on integrated design of transmission components and bearings of RV reducer[D]. Chongqing: Chongqing University, 2021. (in Chinese)
|
| [2] |
THIBAULT N, BOURDON A, RÉMOND D, et al. Dynamic model of a deep grooves ball bearing dedicated to the study of instantaneous angular speed of rotating assemblies[J]. Tribology International, 2022, 174: 107753. doi: 10.1016/j.triboint.2022.107753
|
| [3] |
BIZARRE L, NONATO F, CAVALCA K L. Formulation of five degrees of freedom ball bearing model accounting for the nonlinear stiffness and damping of elastohydrodynamic point contacts[J]. Mechanism and Machine Theory, 2018, 124: 179-196. doi: 10.1016/j.mechmachtheory.2018.03.001
|
| [4] |
LUO Maolin, ANDRÉ H, GUO Yu, et al. Analysis of contact behaviours and vibrations in a defective deep groove ball bearing[J]. Journal of Sound and Vibration, 2024, 570: 118104. doi: 10.1016/j.jsv.2023.118104
|
| [5] |
QIN Yi, CAO Folin, WANG Yi, et al. Dynamics modelling for deep groove ball bearings with local faults based on coupled and segmented displacement excitation[J]. Journal of Sound and Vibration, 2019, 447: 1-19. doi: 10.1016/j.jsv.2019.01.048
|
| [6] |
NIU Linkai, CAO Hongrui, HOU Huipeng, et al. Experimental observations and dynamic modeling of vibration characteristics of a cylindrical roller bearing with roller defects[J]. Mechanical Systems and Signal Processing, 2020, 138: 106553. doi: 10.1016/j.ymssp.2019.106553
|
| [7] |
雷春丽, 宋瑞哲, 樊高峰, 等. 考虑冲击激励的局部缺陷角接触球轴承振动特性[J]. 航空动力学报, 2025, 40(2): 20230211. LEI Chunli, SONG Ruizhe, FAN Gaofeng, et al. Vibration characteristics of angular contact ball bearing with local defect considering impact excitation[J]. Journal of Aerospace Power, 2025, 40(2): 20230211. (in Chinese
LEI Chunli, SONG Ruizhe, FAN Gaofeng, et al. Vibration characteristics of angular contact ball bearing with local defect considering impact excitation[J]. Journal of Aerospace Power, 2025, 40(2): 20230211. (in Chinese)
|
| [8] |
陈立海, 谭奥, 杨丽秀. 角接触球轴承内外圈复合故障尺寸评估[J]. 河南科技大学学报(自然科学版), 2023, 44(1): 20-27, 5. CHEN Lihai, TAN Ao, YANG Lixiu. Defect size evaluation of angular contact ball bearing with compound faults on inner and outer races[J]. Journal of Henan University of Science and Technology (Natural Science), 2023, 44(1): 20-27, 5. (in Chinese
CHEN Lihai, TAN Ao, YANG Lixiu. Defect size evaluation of angular contact ball bearing with compound faults on inner and outer races[J]. Journal of Henan University of Science and Technology (Natural Science), 2023, 44(1): 20-27, 5. (in Chinese)
|
| [9] |
QIN Yi, LI Chengcheng, CAO Folin, et al. A fault dynamic model of high-speed angular contact ball bearings[J]. Mechanism and Machine Theory, 2020, 143: 103627. doi: 10.1016/j.mechmachtheory.2019.103627
|
| [10] |
唐志霖, 蒋迪永, 张文虎, 等. 时变载荷激励的空调滑片式压缩机用球轴承振动特性分析[J]. 振动与冲击, 2023, 42(1): 169-180, 223. TANG Zhilin, JIANG Diyong, ZHANG Wenhu, et al. Vibration characteristics of ball bearing for air conditioning sliding vane compressor excited by time-varying load[J]. Journal of Vibration and Shock, 2023, 42(1): 169-180, 223. (in Chinese
TANG Zhilin, JIANG Diyong, ZHANG Wenhu, et al. Vibration characteristics of ball bearing for air conditioning sliding vane compressor excited by time-varying load[J]. Journal of Vibration and Shock, 2023, 42(1): 169-180, 223. (in Chinese)
|
| [11] |
周志刚, 秦大同, 杨军, 等. 变载荷下风力发电机行星齿轮传动系统齿轮-轴承耦合动力学特性[J]. 重庆大学学报, 2012, 35(12): 7-14. ZHOU Zhigang, QIN Datong, YANG Jun, et al. Gear-bearing coupling dynamics characteristics of wind turbine planetary gear transmission system under variable load[J]. Journal of Chongqing University, 2012, 35(12): 7-14. (in Chinese
ZHOU Zhigang, QIN Datong, YANG Jun, et al. Gear-bearing coupling dynamics characteristics of wind turbine planetary gear transmission system under variable load[J]. Journal of Chongqing University, 2012, 35(12): 7-14. (in Chinese)
|
| [12] |
张放歌, 赵自强, 王文中. 变载荷作用下的角接触球轴承动力学分析[J]. 轴承, 2024(6): 1-8, 15. ZHANG Fangge, ZHAO Ziqiang, WANG Wenzhong. Dynamic analysis of angular contact ball bearings under variable load[J]. Bearing, 2024(6): 1-8, 15. (in Chinese
ZHANG Fangge, ZHAO Ziqiang, WANG Wenzhong. Dynamic analysis of angular contact ball bearings under variable load[J]. Bearing, 2024(6): 1-8, 15. (in Chinese)
|
| [13] |
YAMAMOTO K. Monitoring and diagnostics of gear train systems using angular motionmeasurements[D]. Melbourne, Australia: Florida Institute of Technology, 2001.
|
| [14] |
GU Fengshou, YESILYURT I, LI Yuhua, et al. An investigation of the effects of measurement noise in the use of instantaneous angular speed for machine diagnosis[J]. Mechanical Systems and Signal Processing, 2006, 20(6): 1444-1460. doi: 10.1016/j.ymssp.2005.02.001
|
| [15] |
AIT S K, COUSINARD O, EL B M. Diagnostic of rolling element bearing in low-speed regime using the instantaneous angular speed and cyclo-stationary tools[C]//International Conference on Noise and Vibration Engineering (ISMA). Leuven, Belgium: Katholieke Universiteit Leuven, 2014: 2749-2763.
|
| [16] |
MOUSTAFA W, COUSINARD O, BOLAERS F, et al. Low speed bearings fault detection and size estimation using instantaneous angular speed[J]. Journal of Vibration and Control, 2016, 22(15): 3413-3425. doi: 10.1177/1077546314560600
|
| [17] |
RENAUDIN L, BONNARDOT F, MUSY O, et al. Natural roller bearing fault detection by angular measurement of true instantaneous angular speed[J]. Mechanical Systems and Signal Processing, 2010, 24(7): 1998-2011. doi: 10.1016/j.ymssp.2010.05.005
|
| [18] |
GOMEZ J L, KHELF I, BOURDON A, et al. Angular modeling of a rotating machine in non-stationary conditions: application to monitoring bearing defects of wind turbines with instantaneous angular speed[J]. Mechanism and Machine Theory, 2019, 136: 27-51. doi: 10.1016/j.mechmachtheory.2019.01.028
|
| [19] |
WANG Dongxiao, LIU Xiaoqin, WU Xing, et al. Instantaneous angular speed extraction based on nonuniform local polynomial differentiator for the stiffness identification of the robot joint[J]. IEEE Transactions on Instrumentation and Measurement, 2023, 72: 6500110.
|
| [20] |
RÉMOND D, ANTONI J, RANDALL R B. Editorial for the special issue on instantaneous angular speed (IAS) processing and angular applications[J]. Mechanical Systems and Signal Processing, 2014, 44(1/2): 1-4.
|
| [21] |
孙蓓. 基于小波包和径向基神经网络的机械手臂关节内部轴承故障诊断[D]. 沈阳: 沈阳化工大学, 2021. SUN Bei. Fault detection of bearings in joints of robot arms based on wavelet packet and radial basis neural network[D]. Shenyang: Shenyang University of Chemical Technology, 2021. (in Chinese
SUN Bei. Fault detection of bearings in joints of robot arms based on wavelet packet and radial basis neural network[D]. Shenyang: Shenyang University of Chemical Technology, 2021. (in Chinese)
|
| [22] |
HARRIS T, KOTZALAS M, Rolling bearing analysis essential concepts of bearing technology[M]. 5th ed. New York: Taylor and Francis, 2006.
|
| [23] |
罗茂林, 郭瑜, 伍星. 球轴承内圈剥落缺陷双冲击特征动力学建模[J]. 航空动力学报, 2019, 34(4): 778-786. LUO Maolin, GUO Yu, WU Xing. Dynamic modeling for double-impulse behavior of ball bearing in the presence of a spall on inner race[J]. Journal of Aerospace Power, 2019, 34(4): 778-786. (in Chinese
LUO Maolin, GUO Yu, WU Xing. Dynamic modeling for double-impulse behavior of ball bearing in the presence of a spall on inner race[J]. Journal of Aerospace Power, 2019, 34(4): 778-786. (in Chinese)
|
| [24] |
雷春丽, 薛伟, 樊高峰, 等. 弹流润滑条件下考虑冲击力的局部缺陷角接触球轴承动力学建模[J]. 北京航空航天大学学报, 2025, 51(6): 1965-1977. LEI Chunli, XUE Wei, FAN Gaofeng, et al. Dynamic modeling of angular contact ball bearing with local defects under EHL considering impact force[J]. Journal of Beijing University of Aeronautics and Astronautics, 2025, 51(6): 1965-1977. (in Chinese
LEI Chunli, XUE Wei, FAN Gaofeng, et al. Dynamic modeling of angular contact ball bearing with local defects under EHL considering impact force[J]. Journal of Beijing University of Aeronautics and Astronautics, 2025, 51(6): 1965-1977. (in Chinese)
|
| [25] |
罗茂林. 球轴承剥落损伤双冲击机理建模及其量化研究[D]. 昆明: 昆明理工大学, 2020. LUO Maolin. Modeling and quantitative estimation of spalled ball bearing based on dual-impulse excitation mechanism[D]. Kunming: Kunming University of Science and Technology, 2020. (in Chinese
LUO Maolin. Modeling and quantitative estimation of spalled ball bearing based on dual-impulse excitation mechanism[D]. Kunming: Kunming University of Science and Technology, 2020. (in Chinese)
|
| [26] |
韩谯, 郭瑜, 樊家伟. 外圈故障引起圆柱滚子轴承IAS扰动动力学建模[J]. 振动工程学报, 2025, 38(2): 441-448. HAN Qiao, GUO Yu, FAN Jiawei. Dynamic modeling of instantaneous angular speed disturbances in cylindrical roller bearings caused by outer ring failure[J]. Journal of Vibration Engineering, 2025, 38(2): 441-448. (in Chinese
HAN Qiao, GUO Yu, FAN Jiawei. Dynamic modeling of instantaneous angular speed disturbances in cylindrical roller bearings caused by outer ring failure[J]. Journal of Vibration Engineering, 2025, 38(2): 441-448. (in Chinese)
|