There are many elasto-mechanical systems that involve two components in moving contact where large-amplitude vibration and noise can be excited. This paper models the vibration and dynamic instability of a car disc brake as a moving load problem in which one component (the disc) is amenable to analytical treatment while the other component (the pads, calliper and mounting) has to be dealt with by the finite element method. A method is presented for solving the dynamic instability of the car disc brake as a nonlinear eigenvalue problem. The same approach can tackle other moving load problems.
1.
Fryba, L., 1972, Vibration of Solids and Structures under Moving Loads, Noordhoff, Groningen.
2.
Yoshida
, D. M.
, and Weaver
, W.
, 1971
, “Finite Element Analysis of Beams and Plates With Moving Loads
,” Publication of Int. Assoc. for Bridges and Struct. Eng.
,31
, pp. 179
–195
.3.
Vu-Quoc
, L.
, and Olsson
, M.
, 1989
, “A Computational Procedure for Interaction of High Speed Vehicles on Flexible Structures Without Assuming Known Vehicle Nominal Motion
,” Comput. Methods Appl. Mech. Eng.
, 76
, pp. 207
–244
.4.
Olsson
, M.
, 1991
, “On the Fundamental Moving Load Problem
,” J. Sound Vib.
, 145
, pp. 299
–307
.5.
Nishiwaki
, M.
, 1993, “Generalized Theory of Brake Noise,” Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.), No. 207, pp. 195–202.6.
Mote
, C. D.
, 1970
, “Stability of Circular Plates Subjected to Moving Loads
,” J. Franklin Inst.
, 290
, pp. 329
–344
.7.
Iwan
, W. D.
, and Stahl
, K. J.
, 1973
, “The Response of an Elastic Disc With a Moving Mass System
,” ASME J. Appl. Mech.
, 40
, pp. 445
–451
.8.
Iwan
, W. D.
, and Moeller
, T. L.
, 1976
, “The Stability of a Spinning Elastic Disc with a Transverse Load System
,” ASME J. Appl. Mech.
, 43
, pp. 485
–496
.9.
Ono
, K.
, Chen
, J. S.
, and Bogy
, D. B.
, 1991
, “Stability Analysis of the Head-Disk Interface in a Flexible Disc Drive
,” ASME J. Appl. Mech.
, 58
, pp. 1005
–1014
.10.
Chan
, S. N.
, Mottershead
, J. E.
, and Cartmell
, M. P.
, 1994, “Parametric Resonances at Subcritical Speeds in Discs With Rotating Frictional Loads,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., No.208, pp. 417–425.11.
Mottershead
, J. E.
, Ouyang
, H.
, Cartmell
, M. P.
, and Friswell
, M. I.
, 1997
, “Parametric Resonances in an Annular Disc, With a Rotating System of Distributed Mass and Elasticity; and the Effects of Friction and Damping
,” Proc. R. Soc. London, Ser. A
, 453
, pp. 1
–19
.12.
Ouyang
, H.
, Mottershead
, J. E.
, Brookfield
, D. J.
, James
, S.
, and Cartmell
, M. P.
, 2000
, “A Methodology for the Determination of Dynamic Instabilities in a Car Disc Brake
,” Int. J. Veh. Des.
, 23
, pp. 241
–262
.13.
Ouyang
, H.
, Mottershead
, J. E.
, Cartmell
, M. P.
, and Friswell
, M. I.
, 1998
, “Friction-induced Parametric Resonances in Discs: Effect of a Negative Friction-Velocity Relationship
,” J. Sound Vib.
, 209
, pp. 251
–264
.14.
Mottershead
, J. E.
, 1998
, “Vibration and Friction-induced Instability in Discs
,” Shock Vib. Dig.
, 30
, pp. 14
–31
.15.
Yang
, S.
, and Gibson
, R. F.
, 1997
, “Brake Vibration and Noise: Review, Comments and Proposals
,” Int. J. Mater. Product Tech.
, 12
, pp. 496
–513
.16.
Ouyang
, H.
, and Mottershead
, J. E.
, 2001
, “A Bounded Region of Disc-Brake Vibration Instability
,” ASME J. Vibr. Acoust.
, 248
(4
), pp. 768
–779
.Copyright © 2003
by ASME
You do not currently have access to this content.