Sensitivity studies of friction-induced vibration

International Journal of Vehicle Design

Volumn 51, Issue 1-2, 2009, Pages 238-257

  Butlin, Tore ^a   Woodhouse, Jim ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Brake noise; Brake squeal; Convergence; Friction excited vibration; Friction induced vibration; Low order models; Minimal models; Perturbation analysis; Reduced order models; Sensitivity; Uncertainty

Indexed keywords

BRAKES; DATA REDUCTION; FRICTION; LINEAR SYSTEMS; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

BRAKE NOISE; BRAKE SQUEAL; CONVERGENCE; EXCITED VIBRATIONS; FRICTION INDUCED VIBRATION; LOW ORDER MODELS; MINIMAL MODEL; PERTURBATION ANALYSIS; REDUCED ORDER MODELS; SENSITIVITY; UNCERTAINTY;

VIBRATION ANALYSIS;

EID: 67651202642     PISSN: 01433369     EISSN: None     Source Type: Journal    
DOI: 10.1504/ijvd.2009.027124     Document Type: Article

References (47)

1. Barber, J.R. (1969) 'Thermoelastic instabilities in the sliding of conforming bodies', Royal Society of London Proceedings Series A Mathematics Physics and Engineering Science, Vol. 312, No. 1510, pp.381-394.
2. Bengisu, M.T. and Akay, A. (1994) 'Stability of friction-induced vibrations in multi-degree-of-freedom systems', Journal of Sound and Vibration, Vol. 171, No. 4, pp.557-570.
3. Bergman, F., Eriksson, M. and Jacobsson, S. (2000) 'The effect of reduced contact area on the occurrence of disc brake squeals for an automotive brake pad', Procedings of the Institution of Mechanical Engineers Part D - Journal of Automobile Engineering, Vol. 214, pp.561-568.
4. Blok, H. (1940) 'Fundamental mechanical aspects of boundary lubrication', SAE J., Vol. 46, pp.54-68.
5. Butlin, T. (2007) Prediction and Sensitivity of Friction-Induced Vibration, PhD Thesis, University of Cambridge.
6. Butlin, T. and Woodhouse, J. (2009) 'Sensitivity of friction induced vibration in idealised systems', Journal of Sound and Vibration, Vol. 319, pp.182-198.
7. Chen, G.X. and Zhou, Z.R. (2003) 'Correlation of a negative friction-velocity slope with squeal generation under reciprocating sliding conditions', Wear, Vol. 255, pp.376-384.
8. Chen, G.X. and Zhou, Z.R. (2007) 'Time-frequency analysis of friction-induced vibration under reciprocating sliding conditions', Wear, Vol. 262, pp.1-10.
9. Cremer, L. and Muller, H.A. (1982) 'Principles and applications of room acoustics: geometrical, statistical and psychological room acoustics', Applied Science, New York, Vol. 1.
10. Duffour, P. (2002) Noise Generation in Vehicle Brakes, PhD Thesis, University of Cambridge.
11. Duffour, P. and Woodhouse, J. (2004a) 'Instability of systems with a frictional point contact. Part 1: basic modelling', Journal of Sound and Vibration, Vol. 271, pp.365-390.
12. Duffour, P. and Woodhouse, J. (2004b) 'Instability of systems with a frictional point contact. Part 2: model extensions', Journal of Sound and Vibration, Vol. 271, pp.391-410.
13. Duffour, P. and Woodhouse, J. (2007) 'Instability of systems with a frictional point contact. Part 3: experimental tests', Journal of Sound and Vibration, Vol. 304, pp.186-200.
14. Elishakoff, I. (2005) 'Controversy associated with the so-called 'follower forces': critical overview', Applied Mechanics Reviews, Vol. 58, pp.117-142.
15. Emira, M.N.A. (2007) 'Friction-induced oscillations of a slider: parametric study of some system parameters', Journal of Sound and Vibration, Vol. 300, pp.916-931.
16. Ewins, D.J. (2000) Modal Testing: Theory, Practice and Application, Research Studies Press, Baldock, Herts.
17. Giannini, O., Akay, A. and Massi, F. (2006) 'Experimental analysis of brake squeal noise on a laboratory setup', Journal of Sound and Vibration, Vol. 292, pp.1-20.
18. Guan, D., Su, X. and Zhang, F. (2006) 'Sensitivity analysis of brake squeal tendency to substructures' modal parameters', Journal of Sound and Vibration, Vol. 291, pp.72-80.
19. Hoffmann, N., Fischer, M., Allgaier, R. and Gaul, L. (2002) 'A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations', Mechanics Research Communications, Vol. 29, pp.197-205.
20. Huang, J., Krousgrill, C.M. and Bajaj, A.K. (2006) 'Modeling of automative drum brakes for squeal and parameter sensitivity analysis', Journal of Sound and Vibration, Vol. 289, pp.245-263.
21. Huang, J.C., Krousgrill, C.M. and Bajaj, A.K. (2007) 'An efficient approach to estimate critical value of friction coefficient in brake squeal analysis', Journal of Applied Mechanics - Transactions of the ASME, Vol. 74, pp.534-541.
22. Ibrahim, R.A. and Rivin, E. (1994a) 'Friction-induced vibration, chatter, squeal, and chaos. Part I: mechanics of contact and friction', American Society of Mechanical Engineers Applied Mechanics Reviews, Vol. 47, pp.208-226.
23. Ibrahim, R.A. and Rivin, E. (1994b) 'Friction-induced vibration, chatter, squeal, and chaos. Part II: dynamics and modelling', American Society of Mechanical Engineers Applied Mechanics Reviews, Vol. 47, pp.227-253.
24. Jacobsson, H. (2003) 'Aspects of disc brake judder', Procedings of the Institution of Mechanical Engineers Part D - Journal of Automobile Engineering, Vol. 217, pp.419-430.
25. Johnson, K.L. (1961) 'Energy dissipation at spherical surfaces in contact transmitting oscillating forces', Journal of Mechanical Engineering Science, Vol. 3, pp.362-368.
26. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press, Cambridge.
27. Kessler, P., O'Reilly, O., Raphael, A.L. and Zworski, M. (2007) 'On dissipation-induced destabilization and brake squeal: a perspective using structured pseudospectra', Journal of Sound and Vibration, Vol. 308, pp.1-11.
28. Kinkaid, N.M., O'Reilly, O.M. and Papadopoulos, P. (2005) 'On the transient dynamics of a multi-degree-of-freedom friction oscillator: a new mechanism for disc brake noise', Journal of Sound and Vibration, Vol. 287, pp.901-917.
29. Kragelskii, I.V. (1965) Friction and Wear, Butterworth and Co. Ltd, London. Langley, R.S. and Bremner, P.G. (1999) 'A hybrid method for the vibration analysis of complex structural-acoustic systems', J. Acoustical Society of America, Vol. 105, pp.1657-1671.
30. Langley, R.S. and Cotoni, V. (2004) 'Response variance prediction in the statistical energy analysis of built-up systems', Journal of the Acoustical Society of America, Vol. 115, pp.706-718.
31. Langthjem, M.A. and Sugiyama, Y. (2000) 'Dynamic stability of columns subjected to follower loads: a survey', Journal of Sound and Vibration, Vol. 238, pp.809-851.
32. Lee, J.M., Yoo, S.W., Kim, J.H. and Ahn, C.G. (2001) 'A study on the squeal of a drum brake which has shoes of non-uniform cross-section', Journal of Sound and Vibration, Vol. 240, pp.789-808.
33. Lee, Y.S., Brooks, P.C., Barton, D.C. and Crolla, D.A. (2003a) 'A predictive tool to evaluate disc brake squeal propensity. Part 1: the model philosophy and the contact problem', International Journal of Vehicle Design, Vol. 31, pp.289-308.
34. Lee, Y.S., Brooks, P.C., Barton, D.C. and Crolla, D.A. (2003b) 'A predictive tool to evaluate disc brake squeal propensity. Part 2: system linearisation and modal analysis', International Journal of Vehicle Design, Vol. 31, pp.309-329.
35. Lee, Y.S., Brooks, P.C., Barton, D.C. and Crolla, D.A. (2003c) 'A predictive tool to evaluate disc brake squeal propensity. Part 3: parametric design studies', International Journal of Vehicle Design, Vol. 31, pp.330-353.
36. Lyon, R.H. and de Jong, R.G. (1995) Theory and Application of Statistical Energy Analysis, 2nd ed., Butterworth-Heinemann, Boston.
37. Manson, G. and Worden, K. (2007) Proceedings of the 1st International Conference on Uncertainty in Structural Dynamics, University of Sheffield.
38. Mehta, M.L. (1991) Random Matrices, Academic Press, San Diego.
39. Ouyang, H., Cao, Q., Mottershead, J.E. and Treyde, T. (2003) 'Vibration and squeal of a disc brake: modelling and experimental results', Procedings of the Institution of Mechanical Engineers Part D - Journal of Automobile Engineering, Vol. 217, pp.867-875.
40. Ouyang, H., Nack, N., Yuan, Y. and Chen, F. (2005) 'Numerical analysis of automotive disc brake squeal: a review', International Journal of Vehicle Noise and Vibration, Vol. 1, pp.207-231
41. Rabinowicz, E. (1965) Friction and Wear of Materials, John Wiley and Sons, Inc., New York.
42. Sheng, G. (2008) Friction-Induced Vibrations and Sound, CRC Press, Florida.
43. Skudrzyk, E. (1968) Simple and Complex Vibratory Systems, Pennsylvania State University Press, Pennsylvania.
44. Tolstoi, D.M., Borisova, G.A. and Grigorova, S.R. (1973) 'Friction reduction by perpendicular oscillation', Soviet Physics-Doklady, Vol. 17, pp.907-909.
45. von Wagner, U., Hochlenert, D. and Hagedorn, P. (2007) 'Minimal models for disk brake squeal', Journal of Sound and Vibration, Vol. 302, pp.527-539.
46. Wang, S.K. (2008) Characterisation of High-Frequency Dynamic Friction, PhD Thesis, University of Cambridge.
47. Williams, J. (1994) Engineering Tribology, Oxford University Press, Oxford. Zhou, K., Doyle, J.C. and Glover, K. (1996) Robust and Optimal Control, Prentice-Hall, New Jersey.