In order to study the stability of friction and contact of the rotating tribological pair system,considering the influence of the changeable factors on the stability,the system dynamics analysis model based on the Lag...In order to study the stability of friction and contact of the rotating tribological pair system,considering the influence of the changeable factors on the stability,the system dynamics analysis model based on the Lagrange equation is firstly established.The surface contact stiffness model is determined on the basis of the fractal theory.The model of the friction torque with velocities is created by using the Stribeck friction effect.The Lyapunov indirect method is employed to explore the eigenvalue problem of the system state equation.The effects of the applied load,the fractal dimension,the fractal scaling coefficient and the Stribeck coefficient on the system stability are investigated in detail.The numerical simulation results demonstrate that the tribological pair system is prone to causing system instability at low speed,and the system instability boundary value decreases when the Stribeck coefficient decreases.The fractal dimension and the fractal scaling coefficient impact the system stability slightly when fractal dimensions are large,and the system instability can be reduced by properly increasing the surface smoothness.Moreover,the system instability evidently increases with the increase in the applied load and the Stribeck coefficient.These achievements can provide a reference and theoretical support for the analysis of the dynamic performance of the tribological pair system.展开更多
基金The Science and Technology Support Program of Jiangsu Province(No.BE2014133)the Transformation Program of Scientific and Technological Achievements of Jiangsu Province(No.201701213).
文摘In order to study the stability of friction and contact of the rotating tribological pair system,considering the influence of the changeable factors on the stability,the system dynamics analysis model based on the Lagrange equation is firstly established.The surface contact stiffness model is determined on the basis of the fractal theory.The model of the friction torque with velocities is created by using the Stribeck friction effect.The Lyapunov indirect method is employed to explore the eigenvalue problem of the system state equation.The effects of the applied load,the fractal dimension,the fractal scaling coefficient and the Stribeck coefficient on the system stability are investigated in detail.The numerical simulation results demonstrate that the tribological pair system is prone to causing system instability at low speed,and the system instability boundary value decreases when the Stribeck coefficient decreases.The fractal dimension and the fractal scaling coefficient impact the system stability slightly when fractal dimensions are large,and the system instability can be reduced by properly increasing the surface smoothness.Moreover,the system instability evidently increases with the increase in the applied load and the Stribeck coefficient.These achievements can provide a reference and theoretical support for the analysis of the dynamic performance of the tribological pair system.
