A Study of Vibration in Caliper-Disc Brake Systems With Surface Roughness Effects: Part B — Inclusion of Surface Roughness Effects in the Equations of Motion and Results

Abstract

Vibration of mechanical systems with friction depends on the physical characteristics of the frictional contact. The elastic characteristics are developed in a companion paper, wherein the results show the surface roughness manifested through nonlinear contact stiffnesses. This paper, the second of two companion papers, incorporates the elastic characteristics of contact between the pad surfaces and the rotor in a vibration model of an automotive caliper-disc brake system. The elastic representation of contact, in the form of polynomial functions of the relative pad/rotor displacements, are used to account for the effect of surface roughness on the vibration response of a caliper-disc brake system. The results indicate a range of frequencies due to the roughness induced stiffness nonlinearities.