This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
How Do Nonlinearities Influence Brake Squeal?
Technical Paper
2011-01-2365
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
Brake squeal is usually investigated using linearized models and the eigenvalues of the linear equations of motion. Eigenvalues with positive real parts are interpreted as the onset of squeal. Nonlinearities are commonly neglected due to the high effort associated with the corresponding calculations. Following the linear theory, the vibration amplitude should increase exponentially. On the other hand experimental results and overall experience show, that brake squeal is a stationary or quasi-stationary vibration phenomenon with approximately constant amplitude. This can only be explained by introducing nonlinearities into the model. These nonlinearities are limiting the increasing vibration amplitudes to a stationary limit cycle. Considering experimentally identified material properties of the brake lining as the main source of nonlinearities in the system a nonlinear disk brake model is introduced. Using the eigenvalues and eigenvectors of the linearized system, the bifurcation of the nonlinear system is investigated by normal form theory. This complements the stability boundary obtained from an analysis of the linearized system. It is shown that the linear model can result in incorrect stability boundaries even with perfectly identified parameters. On the other hand, the nonlinear model predicts stability boundaries that are consistent with experimental results.
Recommended Content
Authors
Citation
Hochlenert, D. and Von Wagner, U., "How Do Nonlinearities Influence Brake Squeal?," SAE Technical Paper 2011-01-2365, 2011, https://doi.org/10.4271/2011-01-2365.Also In
References
- Kinkaid, N.M. O'Reilly, O.M. Papadopoulos, P. Automotive Disc Brake Squeal Journal of Sound and Vibration 267 105 166 2003
- Chen, F. Tan, C.A. Quaglia, R.L. “Disc Brake Squeal: Mechanism, Analysis, Evaluation and Reduction/Prevention SAE International Warrendale, PA 978-0-7680-1248-4 2005 10.4271/R-353
- North, M. Disc Brake Squeal Proceedings of IMechE 76 169 176 1976
- Ouyang, H. Nack, W. Yuan, Y. Chen, F. Numerical analysis of automotive disc brake squeal: a review International Journal of Vehicle Noise and Vibration 1 3 207 231 2005
- Hochlenert, D. Nonlinear Stability Analysis of a Disk Brake Model Nonlinear Dynamics 58 1 63 73 2009
- Hornig, S. von Wagner, U. Experimental identification of brake lining material properties subjected to combined static and high frequency loading - A step towards a better prediction of disc brake squeal? Proceedings of the SAE 2011 Noise and Vibration Conference and Exhibition 2011
- Hochlenert, D. Spelsberg-Korspeter, G. Hagedorn, P. Friction Induced Vibrations in Moving Continua and Their Application to Brake Squeal ASME Journal of Applied Mechanics 74 542 549 2007
- Hochlenert, D. Selbsterregte Schwingungen in Scheibenbremsen: Mathematische Modellbildung und aktive Unterdrückung von Bremsenquietschen Ph.D. thesis Technische Universität Darmstadt 2006
- Giannini, O. Akay, A. Massi, F. Experimental Analysis of Brake Squeal Noise on a Laboratory Brake Setup Journal of Sound and Vibration 292 1 20 2006
- Spelsberg-Korspeter, G. Hochlenert, D. Hagedorn, P. Nonlinear investigation of an asymmetric disk brake model Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science 2011
- Troger, H. Steindl, A. Nonlinear Stability and Bifurcation Theory Springer Verlag Wien 1991