Linear eigenvalue analysis of the disc-brake squeal problem

This paper presents a numerical method to calculate the unstable frequencies of a car disc brake and suggests a suitable analysis procedure. The stationary components of the disc brake are modelled using finite elements and the disc as a thin plate. The separate treatments of the stationary componen...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2004-11, Vol.61 (9), p.1546-1563
Main Authors: Cao, Q., Ouyang, H., Friswell, M. I., Mottershead, J. E.
Format: Article
Language:English
Subjects:
Asymmetry
disc brake
Disc brakes
Discs
Disks
Eigenvalues
friction
Mathematical models
moving loads
Numerical analysis
numerical method
squeal
Vibration
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Summary:This paper presents a numerical method to calculate the unstable frequencies of a car disc brake and suggests a suitable analysis procedure. The stationary components of the disc brake are modelled using finite elements and the disc as a thin plate. The separate treatments of the stationary components and the rotating disc facilitate the modelling of the disc brake squeal as a moving load problem. Some uncertain system parameters of the stationary components and the disc are tuned to fit experimental results. A linear, complex‐valued, asymmetric eigenvalue formulation is derived for the friction‐induced vibration of the disc brake. Predicted unstable frequencies are compared with experimentally established squeal frequencies of a real car disc brake. Copyright © 2004 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1127