Nonlinear Analysis of Friction Induced Vibrations of a Two-degree-of-freedom Model for Disc Brake Squeal Noise

Abstract

This paper is based on the two-degree-of-freedom nonlinear model for brake squeal. The phase space analysis is performed to understand complicated dynamics of the nonlinear model. Attractors in the phase space are examined for various conditions of the parameters of the model especially by emphasizing on the damping parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this paper, not only the existence of limit cycle but also the size of limit cycles is examined to demonstrate the nonlinear dynamics that leads the squeal state. The results not only describe the existence of limit cycle, but also show an additional important fact that it may make the system worse when too much damping is added in only the pad or the disc.