Linear eigenvalue analysis of the disc-brake squeal problem

International Journal for Numerical Methods in Engineering

Volumn 61, Issue 9, 2004, Pages 1546-1563

  Cao, Q ^a   Ouyang, H ^a   Friswell, M I ^b   Mottershead, J E ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Disc brake; Friction; Moving loads; Numerical method; Squeal; Vibration

Indexed keywords

DISKS (MACHINE COMPONENTS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FRICTION; NATURAL FREQUENCIES; NUMERICAL METHODS; ROTATING DISKS; STRUCTURAL LOADS; VIBRATIONS (MECHANICAL);

DISK-BRAKES; STATIONARY COMPONENTS; THIN PLATES; UNSTABLE FREQUENCIES;

BRAKES;

DISC BRAKE; EIGENVALUE; MATHEMATICAL METHOD;

EID: 8144231068     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1127     Document Type: Article

References (29)

1. Akay A. Acoustics of friction. Journal of the Acoustic Society of America 2002; 111(4):1525-1548.
2. North NR. Disc brake squeal. Proceedings of IMechE 1976; (C38 /76):169-176.
3. Crolla DA, Lang AM. Brake noise and vibration - the state of the art. In Vehicle Technology, No.18 in Tribology Series, Dawson D, Taylor CM, Godet M (eds). 1991; 165-174.
4. Nishiwaki MR. Review of study on brake squeal. Japan Society of Automobile Engineering Review 1990; 11(4):48-54.
5. Yang S, Gibson RF. Brake vibration and noise: review, comments and proposals. International Journal of Materials Product Technology 1997; 12(4-6):496-513.
6. Kinkaid NM, O'Reilly OM, Papadopoulos P. Automotive disc brake squeal: a review. Journal of Sound and Vibration 2003; 267(1 ):105-166.
7. Mills HR. Brake squeal. Inst. of Automobile Engrs. Report 9162B, 1939.
8. Mills HR. Brake squeal. Inst. of Automobile Engrs. Report 9000B, 1938.
9. Spurr RT. A theory of brake squeal. Proceedings of IMechE, Auto Division 1961; (1):33-40.
10. Chan SN, Mottershead JE, Cartmell MP. Parametric resonances at subcritical speeds in discs with rotating frictional loads. Proceedings of IMechE, Journal of Engineering Science 1994; 208:417-425.
11. Mottershead JE, Ouyang H, Cartmell MP, Friswell MI. Parametric resonances in an annular disc, with a rotating system of distributed mass and elasticity; and the effects of friction and damping. Proceedings of Royal Society of London Series A 1997; 453:1-19.
12. Lee YS, Brooks PC, Barton DC, Crolla DA. A study of disc brake squeal propensity using parametric finite element model. In IMechE Conference Transaction, European Conference On Noise and Vibration, 12-13 May 1998; 191-201.
13. Nack WV. Brake squeal analysis by the finite element method. International Journal of Vehicle Design 2000; 23(3/4 ):263-275.
14. Blaschke P, Tan M, Wang A. On the analysis of brake squeal propensity using finite element method. SAE Paper 2000-01-2765, 2000.
15. Hu Y, Nagy LI. Brake squeal analysis using non-linear transient finite element method. SAE Paper 971610, 1997.
16. Ouyang H, Mottershead JE, Brookfield DJ, James S, Cartmell MP. A methodology for the determination of dynamic instabilities in a car disc brake. International Journal of Vehicle Design 2000; 23(3 /4):241-262.
17. Ouyang H, Mottershead JE. A moving-load model for disc-brake stability analysis. Transaction of ASME, Journal of Vibration and Acoustics 2003; 125(1):1-6.
18. Dunlap KB, Riehle MA, Longhouse RE. An investigative overview of automotive disc brake noise. SAE Paper 1999-01-0142, 1992.
19. Hulten J, Flint J. Lining-deformation-induced modal coupling as squeal generator in a distributed parameter disc brake model. Journal of Sound and Vibration 2002; 254(1):1-21.
20. Tirovic M, Day AJ. Disc brake interface pressure distribution. Proceedings of IMechE, Journal of Automobile Engineering 1991; 205:137-146.
21. Fryba L. Vibration of Solids and Structures Under Moving Loads. Noordhoff: Groningen, 1972.
22. Mote CD. Stability of circular plates subjected to moving loads. Journal of Franklin Institute 1970; 290: 329-344.
23. Iwan WD, Moeller TL. The stability of a spinning elastic disc with a transverse load system. ASME Journal of Applied Mechanics 1976; 43:485-496.
24. Ono K, Chen JS, Bogy DB. Stability analysis of the head-disk interface in a flexible disc drive. ASME Journal of Applied Mechanics 1991; 58:1005-1014.
25. Mottershead JE. Vibration and friction-induced instability in discs. Shock and Vibration Digest 1998; 30:14-31.
26. Liles GD. Analysis of disc brake squeal using finite element methods. SAE Paper 891150, 1989.
27. Yuan Y. A study of the effects of negative friction-speed slope on brake squeal. Proceedings of 1995 ASME Design Engineering Conference, Boston, vol. 3, Part A, 1995; 1135-1162.
28. Kragelski IV, Dobychin MN, Kombalov VS. Friction and Wear: Calculation Methods. Pergamon Press: Oxford, 1982.
29. Matsuzaki M, Izumihara T. Brake noise caused by longitudinal vibration of the disc rotor. SAE Paper 930804, 1993.