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friction 2023年第6期11卷 894-910页

作者： Can WU Kai YANG Jing NI Shuigen LU Lidan YAO Xinglin LI School of Mechanical Engineering Hangzhou Dianzi UniversityHangzhou310018China Hangzhou Bearing Test&Research Center with Assistance of UNDP/UNIDO Hangzhou310022China Machinery Industry Bearing Quality Inspection Center(Hangzhou) Hangzhou310022China Sinopec Research Institute of Petroleum Processing Beijing100083China

In order to improve the starved lubrication condition of rolling bearings,three kinds of textures,namely dimple,groove texture,and gradient groove texture,were developed on the guiding surface of thrust ball bearings in this study.The results show that gradient groove texture has the one-way self-driving function of liquid droplets.The root mean square(RMS)value of vibration acceleration of gradient groove textured bearing(GGB)decreased by 49.1% and the kurtosis decreased by 24.6% compared with non-textured bearing(NB)due to the directional spreading effect of gradient groove textures on oil.The frequency domain analysis showed that the textures mainly suppressed the medium and high-frequency energy of bearing vibration,and the GGB was reduced the most with 65.3% and 48%,respectively.In addition,whether the grease is sufficiently sheared has a large impact on the oil guiding effect,and the friction torque of GGB could decrease by 10.5% compared with NB in the sufficiently sheared condition.Therefore,the gradient groove texture with oil self-driven effect on the guiding surface of rolling bearing can effectively improve the lubrication condition of the bearing and thus reduce the bearing vibration and friction torque,which has a promising application prospect.

关键词： self-driven textures gradient grooved bearing guiding surface bearing vibration friction torque

Grey Relation between Nonlinear Characteristic and Dynamic Uncertainty of Rolling Bearing friction torque

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Chinese Journal of Mechanical Engineering 2009年第2期22卷 244-249页

作者： XIA Xintao WANG Zhongyu College of Mechatronical Engineering Henan University of Science and Technology Luoyang 4 71003 China College of Instrumental Science and Optoelectronics Engineering Beijing University of Aeronautics and Astronautics Beijing 100191 China

The rolling bearing friction torque which is characterized by its uncertainty and nonlinearity affects heavily the dynamic performance of a system such as missiles, spacecrafts and radars, etc. It is difficult to use the classical statistical theory to evaluate the dynamic evaluation of the rolling bearing friction torque for the lack of prior information about both probability distribution and trends. For this reason, based on the information poor system theory and combined with the correlation dimension in chaos theory, the concepts about the mean of the dynamic fluctuant range （MDFR） and the grey relation are proposed to resolve the problem about evaluating the nonlinear characteristic and the dynamic uncertainty of the rolling bearing friction torque. friction torque experiments are done for three types of the rolling bearings marked with HKTA, HKTB and HKTC separately; meantime, the correlation dimension and MDFR are calculated to describe the nonlinear characteristic and the dynamic uncertainty of the friction torque, respectively. And the experiments reveal that there is a certain grey relation between the nonlinear characteristic and the dynamic uncertainty of the rolling bearing friction torque, viz. MDFR will become the nonlinear increasing trend with the correlation dimension increasing. Under the condition of fewer characteristic data and the lack of prior information about both probability distribution and trends, the unitive evaluation for the nonlinear characteristic and the dynamic uncertainty of the rolling bearing friction torque is realized with the grey confidence level of 87.7%-96.3%.

关键词： rolling bearing friction torque time series correlation dimension mean of dynamic fluctuant range （MDFR）,information poor system theory

Model analysis and experimental investigation of the friction torque during the CMP process

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Journal of Semiconductors 2011年第3期32卷 140-144页

作者：郭东明徐驰康仁科金洙吉 Key Laboratory for Precision and Non-Traditional Machining Technology of Ministry of Education Dalian University of Technology

A model for calculating friction torque during the chemical mechanical polishing（CMP） process is presented,and the friction force and torque detection experiments during the CMP process are carried out to verify the model.The results show that the model can well describe the feature of friction torque during CMP processing. The research results provide a theoretical foundation for the CMP endpoint detection method based on the change of the torque of the polishing head rotational spindle.

关键词： CMP friction torque endpoint detection

A combined experimental and analytical method to determine the EHL friction force distribution between rollers and outer raceway in a cylindrical roller bearing

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friction 2023年第8期11卷 1455-1469页

作者： Yu HOU Xi WANG Di YANG Zeliang XIAO School of Mechanical Electronic and Control EngineeringBeijing Jiaotong UniversityBeijing 100044China Hunan Provincial Key Laboratory of Intelligent Manufacturing Technology for High-performance Mechanical Equipment Changsha University of Science and TechnologyChangsha 410114China

friction force is a crucial factor causing power loss and fatigue spalling of rolling element bearings.A combined experimental and analytical method is proposed to quantitatively determine the elastohydrodynamic lubrication(EHL)friction force distribution between rollers and outer raceway in a cylindrical roller bearing(CRB).An experimental system with the instrumented bearing and housing was developed for measuring radial load distribution and friction torque of bearings.A simplified model of friction force expressed by dimensionless speed,load,and material parameters was given.An inequality constrained optimization problem was established and solved by using an experimental data-driven learning algorithm for determining the uncertain parameters in the model.The effect of speed,load,and lubricant property on friction force and friction coefficient was discussed.

关键词： cylindrical roller bearing(CRB) elastohydrodynamic lubrication(EHL) friction force distribution friction torque combined method

Research and experimental analysis of precision degradation method based on the ball screw mechanism

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High Technology Letters 2023年第3期29卷 247-256页

作者：孔德顺 GAO Xiangsheng JIANG Huizeng Institute of Standard Metrology China Academy of Railway Sciences Corporation LimitedBeijing 100081P.R.China Beijing Huaheng Technology Co.Ltd. Beijing 100081P.R.China Key Laboratory of Advanced Manufacturing Technology Beijing University of TechnologyBeijing 100124P.R.China Hebei Changxiang Rubber Plastic Technology Co.Ltd. Hengshui 053500P.R.China

As a key transmission component in computer numerical control(CNC) machine tools,the ball screw mechanism(BSM) is usually investigated under working load conditions. Its accuracy degradation process is relatively long,which is not conducive to the design and development of new products. In this paper,the normal wear depth of the BSM nut raceway is calculated under the variable speed operation condition using the fractal wear analysis method and the BSM’s accelerated degradation proportional wear model. Parameters of the acceleration degradation model of the double-nut preloaded ball screw pair are calculated based on the physical simulation results. The accelerated degradation test platform of the BSM is designed and manufactured to calculate the raceway wear model when the lubrication condition is broken under the variable-speed inertial load and the boundary lubrication condition under the uniform speed state. Three load forces and two samples are selected for the accelerated degradation test of the BSM. The measured friction torque of the BSM is employed as the evaluation index of the accuracy degradation test. In addition,the life cycle of the accuracy retention is accurately calculated by employing the parameters of the physical simulation model of the BSM. The calculations mentioned above can be used to estimate BSM’s accuracy performance degradation law under normal operating conditions. The application of the proposed model provides a new research method for researching the precision retention of the BSM.

关键词： ball screw mechanism(BSM) fractal theory wear model accelerated degradation method friction torque precision retention

Poor Information Evaluation of friction torque Test on Bearing for Space Application （I Theory）

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Poor Information Evaluation of Friction Torque Test on Beari...

2009中国控制与决策会议

作者： Xia Xintao~1,Lv Taomei~1,Meng Fannian~1,Zhang yong~2,Li Jianhua~3 1.College of Mechatronical Engineering,Henan University of Science and Technology,Luoyang,471003,China 2.Luoyang Mining Machinery Engineering design Institute,Luoyang,471039,China 3.Luoyang Bearing Research Institute,Luoyang,471039,China

＜正＞Considering poor information characteristics of friction torque for rolling bearing,a dynamic evaluation method called "from individual identification to population inference model" is proposed in the paper to evaluate the friction torque of bearing for space application.It mainly includes dynamic DGM（1,1） model,new initial value DGM（1,1） model and GBM（1,1） model.The former two models are used for individual identification,the latter population inference.This dynamic evaluation method can not only exactly forecast the friction torque values but also its fluctuation interval and reliability.The forecasting model solves the lagging and leading forecasting in DGM model,at the same time,it permits trend of non-stationary random process unknown and the number of data small without any requirements for probability distribution.

关键词： Bearing friction torque Evaluation Forecasting Poor Information System

Poor Information Evaluation of friction torque Test on Bearing for Space Application (II Experiment)

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Poor Information Evaluation of Friction Torque Test on Beari...

2009中国控制与决策会议

作者： Xia Xintao~1,Meng Fannian~1,Lv Taomei~1,Zhang yong~2,Li Jianhua~3 1.College of Mechatronical Engineering,Henan University of Science and Technology,Luoyang 471003,China 2.Luoyang Mining Machinery Engineering design Institute,Luoyang,471039,China 3.Research Institute of Luoyang Bearings,Luoyang 471039,China

Based on the grey system theory and bootstrap theory and by the more- than- one- year analysis of the experimental data of friction torque,we separately predict the fifth’s and the eighth year’s friction torque and their own fluctuant interval,and we can also offer the forecast errors and the confidence level.Many studies on the experiments of components and flywheels’ life span have shown that the confidence level in the 5 years is above 95%and still above 93%in the 8 years.Flywheel’s friction torque will change from 0.2778 to 0.3509 and the component’s friction torque from 0.1799 to 0.2729.The maximum of relative error of the forecasting result is 0.55%.

关键词： Bearing friction torque Evaluation Forecasting Poor Information System

Analysis of friction torque Properties and Evaluation of Waviness Based on Couple-joints Angular Contact Ball Bearings for Aerospace Field

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Analysis of Friction Torque Properties and Evaluation of Wav...

2010 International Symposium on Inertial Technology and Navigation

作者： ZHANG Xiao-ning XU Feng-mi (Institute No.16 of China Aerospace Academe No.9 Xi’an 710100 China)

＜正＞In view of couple-joints angular contact ball bearings for aerospace field,we simulated various status testing and monitored running circumstance.Furthermore,we analyzed friction torque properties of back-to-back arrangement bearings.And then we evaluated waviness of friction torque curve.The results show that the analysis method and evaluation measurement are correct and feasible. Therefore,it is guaranteed that the rotated accuracy of the shafting and thereof resist at a high level, moreover it ensures the accuracy of the overall structure system.

关键词： angular contact ball bearings platform friction torque properties waviness

Hinf Control for friction torque Simulation in Steer-by-wire Systems

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Hinf Control for Friction Torque Simulation in Steer-by-wire...

2014中国汽车工程学会年会

作者： Li Qi Chen Hui Lou Liming Shirou Nakano School of Automotive Studies & Clean Energy Automotive Engineering Center Tongji University

A modified coulomb friction model is widely used to simulate the steering friction torque felt by the driver in Steer- byWire(SBW) systems,which leads to system instability and torque ripple when a better friction feel is pursued.In this paper,Hcontrol method is applied to conquer the multi- objective control problem to improve the haptic simulation of friction torque,and two evaluation indexes of the friction feel is selected.Satisfying performance of the proposed method is verified by simulation and experiments.The method can be used to improve steering friction feel of Driving Simulator and SBW vehicles or other Virtual Reality systems.

关键词： haptic simulation friction torque Hinfcontrol driving simulator steer-by-wire

METHOD　TO　ELIMINATE　THE　INFLUENCE　OF　SERVO－MOTOR　friction　torqueON　ULTRA－LOW　SPEED　PERFORMANCE　OFELEC

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Chinese Journal of Mechanical Engineering 1994年第1期7卷 35-39页

作者： Li Shangyi Li Wanyu Zhao Keding Wang Wuyong Xu Hongguang(Harbin Institute of Technology)

A nonlinear observer of friction torque is formulated for valve controlled servomotor system. The effect of the observer is studied with simulating method and its applied condition is analyzed. When the above observer is not suitable foe use, a simple PID controlling method with variable parameters is presented. The method has been proved to be effective by the experimental results.

关键词： Nonlinear observer friction torque PID with variable parameters