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Journal of Sound and Vibration (1997) 205(3), 323335 A NON-LINEAR FRICTION MODEL FOR
 

Summary: Journal of Sound and Vibration (1997) 205(3), 323335
A NON-LINEAR FRICTION MODEL FOR
SELF-EXCITED VIBRATIONS
A. J. MCMILLAN
Department of Mathematics, Keele University, Staffordshire, ST5 5BG, England
(Received 16 August 1996, and in final form 2 April 1997)
The motivation behind this work is to develop a dynamical systems understanding of
the phenomenon of squeal. Squeal is a form of self-excited vibration; vibrations are induced
in a structure such as a wheel or violin string by the action of a frictional driving force.
The nature of this force is rather difficult to define; however, a phenomenological model
is proposed which combines the concepts of static and dynamic friction, which seems
intuitively reasonable and for which there is documented evidence. In the case presented
here, the vibrating structure is simplified to that of a block resting on a moving conveyor
belt, restrained by a simple spring and dashpot to a rigid wall. The non-linear system
dynamics predicted by using the new friction model are unusual in that the conditions
giving rise to squeal include not only the belt speed, but also the initial conditions of the
structure. It is thought that this information may be useful in the control of the onset of
squeal.
7 1997 Academic Press Limited
1. INTRODUCTION

  

Source: Abrahams, I. David - Department of Mathematics, University of Manchester

 

Collections: Mathematics