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Disc-Pad Interaction Related to Brake Squeal
Technical Paper
2004-01-0826
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The objective of this paper is to investigate the influence of the non-linearity and time dependence of friction force between disc and pads on the generation of low and high frequency squeal. For this purpose, a non-linear mathematical model of a disc-pad system, that includes the transverse (out-of-plane) and circumferential (in-plane) motions, is developed. The contact normal pressure includes a non-uniform distribution and is represented by a non-linear function of the relative displacement (penetration) of the disc and pad. Friction is assumed as a distributed follower-type force nonlinearly dependent on the relative velocity. Deterministic and random friction coefficient is considered. Numerical simulations reveal a modulated-intermittent response of both disc and pad. It is found that the frequency component corresponding to circumferential vibrations of the disc is always dominant in the case of deterministic friction. However, random friction creates impulsive forces that excite the transverse mode and has little effect on circumferential vibrations.
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Citation
Beloiu, D. and Ibrahim, R., "Disc-Pad Interaction Related to Brake Squeal," SAE Technical Paper 2004-01-0826, 2004, https://doi.org/10.4271/2004-01-0826.Also In
ABS/TCS, Brake Technology and Foundation Brake NVH, and Tire and Wheel Technology
Number: SP-1866; Published: 2004-03-08
Number: SP-1866; Published: 2004-03-08
References
- Ibrahim, R.A. Friction-Induced Vibration, Chater, Squeal and Chaos, Part II: Dynamics and Modeling ASME Applied Mechanics Review 47 7 227 253 1994
- Kinkaid, N.M. O'Reilly, O.M. Papadopoulos, P. Automotive Disc Brake Squeal: A Review Journal of Sound and Vibration 2003
- Ouyang, H. Nack, W. Yuan, Y. Chen, F. On Automotive Disc Brake Squeal Part II: Simulation and Analysis SAE 2003-01-0684 2003
- Mote, C. D. Stability of Circular Plates Subjected to Moving Loads Journal of Franklin Inst 290 329 344 1970
- Iwan, W.D. Moeller, T.L. The Stability of Spinning Elastic Disk With a Transverse Load System ASME Journal of Applied Mechanics 43 485 90 1976
- Chan, S. N. Mottershead, J. E. Cartmell, M. P. “Parametric Resonances at Subcritical Speeds in Discs with Rotating Friction Loads Proc. of Institute of Mechanical Engineers 208 C 417 425 1994
- Mottershead, J. E. Chan, S. N. Flutter Instability of Circular Discs with Frictional Follower Loads ASME J. of Vibration and Acoustics 117 161 163 1995
- Tseng, J. G. Wickert, J. A. On the Vibration of Bolted Plate and Flange Assemblies Journal of Vibration and Acoustics 116 4 468 473 1994
- Ouyang, H. Mottershead, J.E. Brookfield, D.J. James Cartmell, M.P. A Methodology for the determination of Dynamic Instabilities in a Car Disc Brake International Journal of Vehicle Design 23 3 4 241 262 2000
- Ouyang, H. Mottershead, J.A. A moving-load model for Disk Brake Stability Analysis ASME Journal of Vibration and Acoustics 125 1 1 6 2003
- Flint, J. The Effect of Distributed Parameters Examined in a Model for Simulation of Disc Brake Squeal SAE Paper 2000-01-2766 2000
- Hultén, J. Flint, J. An Assumed Modes Method Approach to Disc Brake Squeal Analysis SAE 1999-01-1335 1999
- Mindlin, R.D. Deresiewicz, H. Thickness-Shear and Flexural Vibrations of a Circular Disc ASME Journal of Applied Physics 23 1329 1332 1954
- Chen, F Chen S.-E. Harwood, P In-Plane Mode/Friction Process & Their Contribution to Disk Brake Squeal at High Frequency SAE 2000-01-2773 2000
- Chen, F Chern, J. Swayze, J. Modal Coupling and Its Effect on Brake Squeal SAE 2002-01-0922 2002
- Qiao, S.L. Ibrahim, R.A. Stochastic Dynamics of Systems with Friction-Induced Vibration Journal of Sound and Vibration 223 1 115 140 1999
- Kilburn, R. F. Friction Viewed as a Random Process Journal Lubrication Technology 96 291 299 1974
- Aronov, V. D'Souza, A. F. Kalpakjian, S. Shareef, I. Experimental Investigation of the Effect of System Rigidity on Wear and Friction-Induced Vibrations ASME Journal of Lubrication Technology 105 206 211 1983
- Ibrahim, R. A. Zielke, S. A. Popp, K. Characterization of Interfacial Forces in Metal-to-Metal Contact under Harmonic Excitation Journal of Sound and Vibration 220 2 365 377 1999
- Loh, W.Y. Basch, R.H. Li, D. Sanders, P. Dynamic Modeling of Brake Friction Coefficients SAE 2000-01-2753 2000
- Guangxiong, C. Zhongrong, Z. Kapsa, P. Vincent, L. Effect of Surface Topography on Formation of Squeal Under reciprocating Sliding Wear 253 2002 411 423 2002
- Ibrahim, R.A. Madhavan S. Qiao, S.L. Chang, W.K. Experimental Investigation of Friction-Induced Noise in Disc Brake Systems International Journal of Vehicle Design 23 3 4 218 240 2000
- Qiao, S. L. Ibrahim, A. Characterization of Friction-Induced Vibration in Disc Brakes Proc IUTAM Symposium on Nonlinear Stochastic Dynamics Urbana Chapaign August 26-30 2002
- Kerr, A.D. Elastic and Viscoelastic Foundation Models ASME Journal of Applied Mechanics September 491 498 1964
- Irie, T. Yamada, G. Takagi, K. Natural Frequencies of a Thick Annular Plates Journal of Applied Mechanics 49 633 638 1982
- Liew, K.M. Xiang, Y. Wang, C.M. Kitipornchai, S. Flexural Vibration of Shear Deformable Circular and Annular Plates on Ring Support Computer Methods in Applied Mechanics and Engineering 110 1993 301 315 1993
- Chung, J. Oh, J.-E. Yoo, H.H. Non-linear Vibration of a Flexible Spinning Disc with Angular Acceleration Journal of Sound and Vibration 231 2 375 391 2000
- Brokley, C.A. Ko, P.L. Quasi-Harmonic Friction-Induced Vibration ASME J. Lubr. Technology 92 4 550 556 1970
- Feeny, B.F. Moon, F.C. Autocorelation on Symbol Dynamics for a Chaotic Dry-friction Oscillator Phys. Lett. 141A 8 9 397 400 1989