Oscillations Caused by Solid Friction in a Hydraulic Driving System : 2nd Report, In the Case of Maximum Static Friction different from Kinetic Friction without Slipping

Abstract

Oscillations caused by solid friction in the hydraulic driving system of the previous report are treated theoretically in the case where the critical value of static friction differs the value of kinetic friction withous slipping. The kinetic friction force-velocity characteristic considered is given by a polygon having two straight line segments. The system consists of a table lying on a rectilinear sliding surface, an actuator cylinder, a 4-way servo valve, a relief valve and an oil pump. The stick-slip motions of the table are analysed considering the 4-way valve pressure-flow characteristic, friction-velocity relation, oil compressibility and the sizes of the hydraulic driving elements. Several types of limit cycles and the regions in which they occur are shown in figures according to the parameters mentioned above. Lastly, the curves of amplitudes and their periods of the steady-state oscillations are given.