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Journal of Sound and Vibration (1996) 193(1), 417426 ACTIVE CONTROL OF FRICTION-DRIVEN
 

Summary: Journal of Sound and Vibration (1996) 193(1), 417­426
ACTIVE CONTROL OF FRICTION-DRIVEN
OSCILLATIONS
MARIA A. HECKL AND I. D. ABRAHAMS
Department of Mathematics, Keele University, Keele, Staffordshire ST5 5BG, England
(Received in final form 20 November 1995)
This paper introduces an active control technique that combats oscillations driven by dry
friction forces. Dry friction can act as the excitation mechanism for some high amplitude
oscillations; curve squeal from trains is a well known and notorious example. Another,
more elementary, example is the oscillation of a mass­spring system sliding on a moving
belt. A model which predicts the stability behaviour of this system is presented. The model
is then extended to include an active control system. The active control system is a feedback
loop which consists of the following components. A transducer senses the velocity of the
mass. The transducer output is passed to a filter, then to a phase shifter which applies an
adjustable phase-shift, to a variable-gain amplifier, and finally to a shaker which is attached
to the mass. The shaker exerts a control force in the tangential direction, and this force
superimposes on the friction force. The stability behaviour of the controlled system is
analyzed in two ways: by calculation of the complex eigenfrequencies and by considerations
based on a balance equation for the oscillatory energy. The differences between this form
of active control and conventional anti-vibration methods are discussed. Further studies,

  

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

 

Collections: Mathematics