Forced torsional vibration of a two degrees of freedom system including clearance and friction. 2nd report Case of stick-slip motion.

Abstract

The engine-clutch-manual transmission system of an automobile is modelled by a forced torsional vibration system of two degrees of freedom including two nonlinear terms, namely clearance and friction. In the derivation of the analytical solution, the friction term is linearized based upon the approximated solution of motion. The conclusions are as follows : 1) Experiments, computer simulations and the analytical solution show that the stick-slip motion occurs when the friction torque takes a value within certain limits. 2) When the system approaches resonance, the sum of torque impulse becomes large in the system with small friction, but it remains almost unchanged in the system with large friction. 3) It seems that the effects of system parameters on the magnitude of shock can be estimated by the amplitude magnification factor of an approximated single degree of freedom system.