This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Study on Closed-Loop Coupling Model for Brake Squeal Concerning Disc Rotation
Technical Paper
2016-01-1922
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
Modelling of disc is crucial in analyzing brake squeal since the disc rotates past the non-rotating pads and the pads are coupled with different areas of the disc at different times. However, in most of the complex eigenvalue analysis of brake squeal, the effect of disc rotation was ignored. This paper proposes a closed-loop coupling model for brake squeal analysis. A modal parameter-based rotating disc model, whose dynamic behavior is represented by rotation speed-dependent equivalent modal parameters, is built through space and time-frequency transformation between reference and moving coordinate systems. The orthogonality of the equivalent modal parameters in state-space is derived. By performing modal synthesis in state-space, the rotating disc is incorporated into brake squeal closed-loop coupling model with other stationary components. Dynamic instability of the system is solved through complex eigenvalue analysis in state-space. It shows that new unstable squeal modes emerge with growing rotation speed and the instability of the system differs under different rotation speeds.
Recommended Content
Topic
Citation
Du, Y. and Wang, Y., "Study on Closed-Loop Coupling Model for Brake Squeal Concerning Disc Rotation," SAE Technical Paper 2016-01-1922, 2016, https://doi.org/10.4271/2016-01-1922.Also In
References
- Kinkaid , N. M. , O'Reilly , O. M. , and Papaclopoulos , P. Automotive disc brake squeal Journal of Sound and Vibration 267 1 105 166 2003 10.1016/S0022-460x(02)01573-0
- Abu Bakar , A. R. a. O. , Huajiang Recent studies of car disc brake squeal New Research on Acoustics 159 198 2008
- Liles , G. Analysis of Disc Brake Squeal Using Finite Element Methods SAE Technical Paper 891150 1989 10.4271/891150
- Dihua , G. and Dongying , J. A Study on Disc Brake Squeal Using Finite Element Methods SAE Technical Paper 980597 1998 10.4271/980597
- Heilig , J. , and Wauer , J. Stability of a Nonlinear Brake System at High Operating Speeds Nonlinear Dynamics 34 3 235 247 2003 10.1023/b:nody.0000013506.20009.70
- Hochlenert , D. , Spelsberg-Korspeter , G. , and Hagedorn , P. Friction Induced Vibrations in Moving Continua and Their Application to Brake Squeal Journal of Applied Mechanics 74 3 542 549 2006 10.1115/1.2424239
- Ouyang , H. , Mottershead , J. E. , and Li , W. A moving-load model for disc-brake stability analysis Journal of Vibration and Acoustics-Transactions of the Asme 125 1 53 58 2003 10.1115/1.1521954
- Kang , J. Y. Squeal analysis of gyroscopic disc brake system based on finite element method International Journal of Mechanical Sciences 51 4 284 294 2009 10.1016/j.ijmecsci.2009.02.003
- Du , Y. , Lv , Y. , Wang , Y. , and Gao , P. Study on a Closed-Loop Coupling Model without Coupling Spring SAE Int. J. Passeng. Cars - Mech. Syst. 9 1 227 233 2016 10.4271/2016-01-1315
- Du , Y. , Lv , Y. , Wang , Y. , and Gao , P. On the Effect of Friction Law in Closed-Loop Coupling Disc Brake Model SAE Int. J. Passeng. Cars - Mech. Syst. 9 1 154 159 2016 10.4271/2016-01-0476
- Lv , Y. , Du , Y. , and Wang , Y. Substructure Modal Composition and Sensitivity Analysis based on Closed-Loop Coupling Model without Coupling Spring SAE International, 2016-01-1309 2016 10.4271/2016-01-1309
- Du , Y. , Gao , P. , Wang , Y. , and Lv , Y. On the Coupling Stiffness in Closed-Loop Coupling Disc Brake Model through Optimization SAE Int. J. Passeng. Cars - Mech. Syst. 8 1 31 36 2015 10.4271/2015-01-0668
- Guan , D. H. , Su , X. D. , and Zhang , F. Sensitivity analysis of brake squeal tendency to substructures' modal parameters Journal of Sound and Vibration 291 1-2 72 80 2006 10.1016/j.jsv.2005.05.023
- Kang , J. , Krousgrill , C. M. , and Sadeghi , F. Wave pattern motion and stick-slip limit cycle oscillation of a disc brake Journal of Sound and Vibration 325 3 552 564 2009 10.1016/j.jsv.2009.03.030
- Talbot , C. , and Fieldhouse , J. D. Fourier analysis of holographic data from a noisy disc brake and its implication for modelling Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering 217 11 975 984 2003
- Krupka , R. , Walz , T. , and Ettemeyer , A. Fast and full-field measurement of brake squeal using pulsed ESPI technique Optical Engineering 42 5 1354 1358 2003
- Wang , Y. , Du , Y. , and Gao , P. Rotating Disc Model for Complex Eigenvalue Analysis of Brake Squeal The Imac, A Conference and Exposition on Structural Dynamics 2015 10.1007/978-3-319-15236-3_10
- Du , Y. , Wang , Y. , Gao , P. , and Lv , Y. Modal Based Rotating Disc Model for Disc Brake Squeal SAE Int. J. Passeng. Cars - Mech. Syst. 8 1 16 21 2015 10.4271/2015-01-0665
- Gao , P. , Du , Y. , Wang , Y. , and Lv , Y. Study on Repeated-Root Modes in Substructure Modal Composition Analysis SAE Int. J. Passeng. Cars - Mech. Syst. 9 1 160 166 2016 10.4271/2016-01-0477
- Giannini , O. , and Massi , F. Characterization of the high-frequency squeal on a laboratory brake setup Journal of Sound & Vibration 310 1-2 394 408 2008
- Meirovitch , L. A Modal Analysis for the Response of Linear Gyroscopic Systems Journal of Applied Mechanics 42 2 446 450 1975 10.1115/1.3423597
- Bucher , I. , and Ewins , D. J. Modal analysis and testing of rotating structures Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 359 1778 61 96 2001 10.1098/rsta.2000.0714
- Gutierrez-Wing , E. S. Modal analysis of rotating machinery structures Ph.D. thesis Department of Mechanical Engineering, Imperial College London London 2003