Stability of Sliding in a System Excited by a Rough Moving Surface

A two-degree-of-freedom translational system has been developed to study the influence of normal force oscillations on the stability of the steady sliding position. Excited by a small, periodic surface roughness, the normal and tangential motion are coupled through a velocity-dependent friction law. The linearized system has been examined using the first-order averaging technique of Krylov and Boguliubov. In addition to the primary forced resonance, a 2:1 parametric resonance and a 1/2 sub-harmonic resonance have been encountered. Arising from velocity-dependent coupling of the normal and tangential modes and the periodic normal force variations, the parametric resonance has been found to produce locally unstable responses in some cases. Conditions for the stability of the local response based upon local friction curve slope, static normal force, system damping, and surface velocity have been derived for a broad range of frequency.

[1]  A. Akay,et al.  Stability of Friction-Induced Vibrations in Multi-Degree-of-Freedom Systems , 1994 .

[2]  D. M. Tolstoĭ.  Significance of the normal degree of freedom and natural normal vibrations in contact friction , 1967 .

[3]  C. A. Brockley,et al.  Quasi-Harmonic Friction-Induced Vibration , 1970 .

[4]  Andres Soom,et al.  Friction-induced vibration, chatter, squeal, and chaos : presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992 , 1992 .

[5]  A. Ruina,et al.  Stability of Steady Frictional Slipping , 1983 .

[6]  A. Soom,et al.  Friction at a Lubricated Line Contact Operating at Oscillating Sliding Velocities , 1990 .

[7]  P. Dupont.  Avoiding stick-slip through PD control , 1994, IEEE Trans. Autom. Control..

[8]  Andres Soom,et al.  Unsteady Friction in the Presence of Vibrations , 1992 .

[9]  A. Nayfeh.  Introduction To Perturbation Techniques , 1981 .

[10]  K. L. Johnson,et al.  The dynamic response of elastic bodies in rolling contact to random roughness of their surfaces , 1972 .

[11]  E. Rabinowicz.  The Intrinsic Variables affecting the Stick-Slip Process , 1958 .

[12]  Andres Soom,et al.  Simulation of Random Surface Roughness-Induced Contact Vibrations at Hertzian Contacts During Steady Sliding , 1986 .

[13]  A. Soom,et al.  Roughness-Induced Dynamic Loading at Dry and Boundary-Lubricated Sliding Contacts , 1983 .

[14]  A. Soom,et al.  Interactions Between Dynamic Normal and Frictional Forces During Unlubricated Sliding , 1983 .