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How to Play a Disc Brake: A Dissipation-Induced Squeal.

Kirillov, O. N. (2008):
How to Play a Disc Brake: A Dissipation-Induced Squeal.
In: Noise and Vibration, 2008, SP-2158, SAE World Congress and Exhibition, April 14-17 2008, Detroit, MI, USA., SAE, pp. 167-180, [Online-Edition: http://www.sae.org/technical/papers/2008-01-1160],
[Book Section]

Abstract

The eigenvalues of an elastic body of revolution, rotating about its axis of symmetry, form a 'spectral mesh'. The nodes of the mesh in the plane 'frequency' versus 'gyroscopic parameter' correspond to the double eigenfrequencies. With the use of the perturbation theory of multiple eigenvalues, deformation of the spectral mesh caused by dissipative and nonconservative perturbations, originating from the frictional contact, is analytically described. The key role of indefinite damping and non-conservative positional forces in the development of the subcritical flutter instability is clarified. A clear mathematical description is given for the mechanism of excitation of particular modes of rotating structures in frictional contact, such as squealing disc brakes and singing wine glasses.

Item Type: Book Section
Erschienen: 2008
Creators: Kirillov, O. N.
Title: How to Play a Disc Brake: A Dissipation-Induced Squeal.
Language: English
Abstract:

The eigenvalues of an elastic body of revolution, rotating about its axis of symmetry, form a 'spectral mesh'. The nodes of the mesh in the plane 'frequency' versus 'gyroscopic parameter' correspond to the double eigenfrequencies. With the use of the perturbation theory of multiple eigenvalues, deformation of the spectral mesh caused by dissipative and nonconservative perturbations, originating from the frictional contact, is analytically described. The key role of indefinite damping and non-conservative positional forces in the development of the subcritical flutter instability is clarified. A clear mathematical description is given for the mechanism of excitation of particular modes of rotating structures in frictional contact, such as squealing disc brakes and singing wine glasses.

Title of Book: Noise and Vibration, 2008, SP-2158, SAE World Congress and Exhibition, April 14-17 2008, Detroit, MI, USA.
Volume: SAE pa
Publisher: SAE
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Dynamics and Vibrations
Date Deposited: 12 Mar 2009 12:53
Official URL: http://www.sae.org/technical/papers/2008-01-1160
Additional Information:

Department of Mechanical Engineering, Dynamics group

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