Band Brake Squeal

Abstract

The purpose of this paper is to investigate the squealing mechanism of band brakes in order to develop effective treatments for the reduction or elimination of squeal noise. With increasing rotational drum speed, squeal frequency increases up to a constant frequency. This constant squeal frequency coincides precisely with the frequency of instability obtained by a linear analysis of the motion of a band on an elastic foundation when the frictional force between the lining of the band and the drum is taken into account. Through experiments and analyses, it will be demonstrated that squeals are induced by the coupling between two modes of the band.

On the Discretization of an Elastic Rod With Distributed Sliding Friction

“…Instability apparently occurs when the real part of an eigenvalue is positive at the critical condition "5)7, accompanied by a collision between two frequencies. This instability mechanism resembles #utter, and has been seen as one of possible instability mechanisms, e.g., #ow-induced vibrations [14] and friction-induced vibrations [15].…”

On the stick-slip waves under unilateral contact and Coulomb friction

“…where C 0 is an arbitrary constant, f 1 and f 2 are constant given by (30) and (38) respectively. Moreover, since the stress field vanishes at infinity then C 0 = 0.…”

“…Many examples are common in daily life such as creaking door, noise of chalk against a table, brake squeal, guitar sound, silo music (sound emission during the flow of granular materials through silos) are generally associated to stick-slip propagation. Study of such periodic regimes is relevant for break squeal [31,38], simulations of earthquakes and seismology analysis [8,11], study of ultrasonic motors [52], granular discharge from silos [35,43], interpretation of Shallamach waves in sliding of rubber against a rigid substrate [12,49].…”

Methods to reduce non-linear mechanical systems for instability computation

“…J 2 , C 2 and a 2 have been previously defined in equations (126)(127)(128). J 3 is a (10 × n) × (10 × n) diagonal matrix and D 2,3 is a (10 × n) × (6 × n) matrix that defines the contribution of the second order coefficients.…”

“…Friction-induced vibration occurs in many industrial applications with rotating and sliding parts and is undesirable due to its detrimental effects on the performance of mechanical systems and its role in the accelerated wear of components, damage and noise. Different types of vibrations induced by friction have been studied in the past by several researchers ( [124], [31], [79], [80], [38], [137], [49], [90], [51], [50], [150], [128], [199], [100], [76], [102], [105], [122], [123], [52] and [53]). One of the important phases in studying vibration problems in systems is the determination of the mechanism of the unstable friction-induced vibration.…”