Abstract
Squeal and chatter phenomena were generated in bicycle disc brake. In this report, the authors deal analytically with a simple coupled in-plane and out-of-plane vibration system with three degree of freedom subject to the friction in order to make clear the essence of such phenomena generated in bicycle disc brake system. In this model, two kinds of squeal were generated in the nonlinear analysis, the squeal generated in the linear analysis and the internal resonance phenomena were also generated in the nonlinear analysis. The squeal was in-plane unstable vibration in the disc surface direction, caused by the dry friction with negative slope with respect to the relative velocity. The internal resonance phenomena, that is, the chatter was the other frictional nonlinear vibration in which the squeal and the out-of-plane unstable vibration due to Coulomb friction were combine together through the internal resonance relationship between out-of-plane and in-plane vibrations caused by increasing of moment spring constant. And, a dynamic absorber which is one degree of freedom and can be vibrate in the in-plane direction was applied to the block. The dynamic absorber works effectively to the the unstable vibration which vibrate in the in-plane direction mainly but does not work effectively to the internal rsonance phenomena.
