Fourier analysis of holographic data from a noisy disc brake and its implication for modelling

Talbot, Chris J. and Fieldhouse, John D. (2003) Fourier analysis of holographic data from a noisy disc brake and its implication for modelling. Proceedings of the Institute of Mechanical Engineers Part D Automotive Engineering, 217. pp. 975-984. ISSN 0954-4070

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Abstract

Double pulsed laser holography is used to obtain images with fringe lines giving detailed information about the mode of vibration of a braking system generating high-frequency noise or squeal. If the images obtained are digitized, it is shown to be possible, using image processing techniques, to develop algorithms that determine the displacement field of the exposed part of the disc surface.

Using least-squares mathematical approximations it is then feasible to generate Fourier series type representations of the out-of-plane motion of the vibrating disc. Holograms of the disc rim can also be analysed to show how the vibrating motion varies throughout the thickness of the disc (in-plane motion). The results demonstrate the existence of travelling waves as well as significantly large amplitude and quite complex in-plane vibrations. Implications for the construction of mathematical models of disc brake noise are discussed.

Item Type:	Article
Additional Information:	UoA 25 (General Engineering) D03903© IMechE 2003
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics
Schools:	School of Computing and Engineering School of Computing and Engineering > Automotive Engineering Research Group School of Computing and Engineering > Diagnostic Engineering Research Centre School of Computing and Engineering > Diagnostic Engineering Research Centre > Measurement System and Signal Processing Research Group School of Computing and Engineering > Pedagogical Research Group School of Computing and Engineering > High-Performance Intelligent Computing > High Performance Computing Research Group
Related URLs:	Author Author
References:	Fieldhouse, J. D. and Newcomb, T. P. Double pulsed holography used to investigate noisy brakes. Optics and Lasers in Engng, 1996, 6(25), 455-494. Fieldhouse, J. D. and Rennison, M. Drum brake noise—a theoretical and visual approach. In Advances in Automotive Braking Technology—Design Analysis and Materials Developments, 1996, Ch. 2, pp. 25-46 (Mechanical Engineering Publications, London). Talbot, C. J., Al Banawi, K. and Fieldhouse, J. D. Generating 3-dimensional animations of vehicle brake noise. SAE Trans., J. Passenger Cars: Mech. Systems, 2001, 110(6), 2648-2654. Talbot, C. J. and Fieldhouse, J. D. Animations of a disc brake generating noise. SAE Trans., J. Passenger Cars: Mech. Systems, 2001, 110(6), 2391-2397. Kreis, T.Holographic Interferometry, 1996 (Akademie Verlag). Talbot, C. J. and Fieldhouse, J. D. Investigation of the time development of disc brakes generating noise using laser holography. Braking 2002, Leeds, 10-12 July 2002, pp. 85-100. Powell, M. J. D.Approximation Theory and Methods, 1981 (Cambridge University Press). Gershenfeld, N.The Nature of Mathematical Modelling, 1999 (Cambridge University Press). Lamb, H. and Southwell, R. V. The vibrations of a spinning disc. Proc. R. Soc. Ser. A, 1921, 99, 272-280. Kinkaid, N. M., O'Reilly, O. M. and Papadopoulos, P. Automotive disc brake squeal: a review. J. Sound Vibr., 2003, 267(1), 105-166. [CrossRef] Ouyang, H. and Mottershead, J. E. Unstable travelling waves in the friction-induced vibration of discs. J. Sound Vibr., 2001, 248, 768-779. [CrossRef] Flint, J. Disc brake squeal. PhD thesis, University of Southern Denmark, Odense, 2002. Talbot, C. J. and Fieldhouse, J. D. Modelling in-plane and out-of plane vibrations in disc brake squeal (to be published). Talbot, C. J. and Fieldhouse, J. D. Investigationsof in-plane disc vibration using laser holography. SAE Brake Colloquium and Exhibition, Phoenix, Arizona, 6-9 October 2002, Paper 2002-01-2607.
Depositing User:	Briony Heyhoe
Date Deposited:	19 Jul 2007
Last Modified:	28 Aug 2021 23:32
URI:	http://eprints.hud.ac.uk/id/eprint/297

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