Parametric study on friction-induced coupled oscillator

Abstract

This paper investigates the dynamic instability of a sliding oscillator subjected to non-linear friction force. The dynamic instability is determined by the system eigenvalues of the linearized equation of motion. Mode-coupling type instability and negative slope type instability are considered to be the mechanism generating the friction-induced vibration. The mode coupling between two vibration modes strongly depends on the system parameters such as the spring inclination angle. The conditions for the divergence and dynamic instability are presented in the mathematical form. The damping coefficient of an inclined support arm is seen to determine the modal damping separation influencing on the dynamic instability.