基于Stribeck摩擦模型的盘式摩擦副稳定性分析
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摘要
为了分析摩擦副滑动摩擦状态下的稳定性,分析系统的失稳条件,以Stribeck摩擦模型为基础,建立了速度相关的多自由度摩擦副滑动稳定性分析模型。建立了盘式摩擦副的系统动力学微分方程,进行了基于库仑摩擦定律摩擦力计算公式的级数展开,随后依据李雅普诺夫稳定性判据进行了系统稳定性求解,并分析了系统关键参数对系统稳定性的影响。研究结果表明,采用减小Stribeck系数和摩擦因数静动比、减小外载荷和增大系统阻尼等方法,能提高系统的稳定性。
In order to obtain system stability of friction pairs under sliding and analyze instability of the system,a multiple-degree-of-freedom and velocity-related sliding stability analysis model was established based on Stribeck friction model herein.The dynamics differential equations were established for the disc-friction pairs and the Coulomb friction formula was expanded with Taylor method.Then the system stability and the effects of key parameters on the system characteristics were analyzed depending on Liapunov's stability criterion.The results show that the system stability may be intensified by decreasing Stribeck coefficient,ratio of static friction and sliding friction and load,or increasing the system damping etc.
In order to obtain system stability of friction pairs under sliding and analyze instability of the system,a multiple-degree-of-freedom and velocity-related sliding stability analysis model was established based on Stribeck friction model herein.The dynamics differential equations were established for the disc-friction pairs and the Coulomb friction formula was expanded with Taylor method.Then the system stability and the effects of key parameters on the system characteristics were analyzed depending on Liapunov's stability criterion.The results show that the system stability may be intensified by decreasing Stribeck coefficient,ratio of static friction and sliding friction and load,or increasing the system damping etc.
引文
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[10]林朝安.基于能量法则的Stribeck摩擦模型参数辨识及其应用研究[D].南宁:广西大学,2015.LIN Chaoan.Parameter Identification of Stribeck Friction Model Based on Energy Principle and Its Application[D].Nanning:Guangxi University,2015.
[2]JOBCOBSEN L S.Steady Forced Vibration as Influenced by Damping[J].Trans.of the ASME,1931,53:169-181.
[3]DENHARTOG J P.Forced Vibration with Combined Coulomb and Viscous Friction[J].Trans.of the ASME,1931,52:107-115.
[4]KO P L.Autonomous Quasi-harmonic and Forced Vibration of Frictional System[D].Vancouver:University of British Columbia,1969.
[5]MARTINS J A C,ODEN J T,SIMOES F M F.A Study of Static and Kinetic Friction[J].International Journal of Engine Science,1990,28(1):29-92.
[6]BLOK H.Fundamental Aspects of Boundary Lubrication[J].Journal SOC Automotive Engineerings,1940:46-54.
[7]TOLSTOI D.Signiticance of the Normal Degree of Freedom and Natural Vibrations in Contact Friction[J].Wear,1984,102:193-213.
[8]KO P L,TAPONAT M C,PFAIFER R.Frictioninduced Vibration-with and without External Disturbance[J].Tribology international,2001,34(1):7-24.
[9]马建敏,黄协清,陈天宁.旋转与非旋转体间接接触摩擦诱发振动的理论分析[J].西安交通大学学报,1999,33(1):101-105.MA Jianmin,HUANG Xieqing,CHEN Tianning.Contact Friction Induced Vibration between Revolute and Non-revolute Bodies[J].Journal of Xi’an Jiaotong University,1999,33(1):101-105.
[10]林朝安.基于能量法则的Stribeck摩擦模型参数辨识及其应用研究[D].南宁:广西大学,2015.LIN Chaoan.Parameter Identification of Stribeck Friction Model Based on Energy Principle and Its Application[D].Nanning:Guangxi University,2015.