Thermo-mechanical model of frictional self-excited vibrations

A novel thermo-mechanical model of frictional self-excited stick-slip vibrations is proposed. Contrary to the tribo-mechanical models known in literature, the proposed model does not include any massless elastic parts. The applied friction force depends on a relative velocity of the sliding bodies. The period of vibrations depends on both heating expansion conditions and on conditions of heat taking up (giving up). Stability of the stationary solutions is studied. A computation of contact parameters during heating of the bodies is performed. Possibility of the existence of frictional auto-vibrations is shown.