Laboratoire de tribologie et dynamique des systèmes CNRS
Ecole centrale de Lyon
36, av. Guy de Collongue, 69134 Ecully FRANCE
tel. + 33 4 72 18 62 75

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Satistical Energy Analysis
Radiative transfer equation
Multicontact interface
Friction noise of rough surfaces
Group theory

Last news...

The squeal noise of a rubber-glass contact is controlled by Stribeck's law

The origin of the squeal of wiper blades or other rubber joints rubbing against glass surfaces is less obvious than it eppears at first sight. We have performed an experiment to explore systematically the domain of squealing and observed that it appears during the transition between the boundary and hydrodynamic regimes. But the origin of the transition remains mysterious...
The ripples in water are induced by the rubber glass instability.

F. Deleau, D. Mazuyer, A. Koenen, Sliding friction at elastomer/glass contact: Influence of the wetting conditions and instability analysis, Tribology International, vol. 42, 2009.

J. Le Rouzic, A. Le Bot, J. Perret-Liaudet, M. Guibert, A. Rusanov, L. Douminge, F. Bretagnol, D. Mazuyer, Friction-induced vibration by Stribeck’s law: application to wiper blade squeal noise, Tribology Letters, vol. 49, p. 563-572, 2013.

The noise induced by the rubbing of rough surfaces is not proportional to the contact area!

We realized an experiment to check if the friction noise of sliding rough surfaces is proportional to the contact area. We found that no! This result is not intuitive. A naive reasoning would state that the more numerous are the sliding solids, the higher is the noise they emit. Read more...

Experiment to measure the friction noise versus contact area.

A. Le Bot and E. Bou Chakra, Measurement of friction noise versus contact area of rough surfaces weakly loaded, Tribology Letters, vol. 37, p. 273-281, 2010.

A. Le Bot, E. Bou Chakra and G. Michon Dissipation of vibration in rough contact, Tribology Letters, vol. 41, p. 47-53, 2011.

V.H. Dang, J. Perret-Liaudet, J. Scheibert, A. Le Bot, Direct numerical simulation of the dynamics of sliding rough surfaces, Computational mechanics, vol. 52, pages 1169-1183, 2013.

The concept of entropy in statistical vibroacoustics

Up to now, statistical vibroacoustics and its main theory, statistical energy analysis, is entirely based on the application of energy balance. But if the analogy with thermodynamics is often underlined, it is never said what happens with the concept of entropy. We have discussed the second principle of thermodynamics in the framework of statistical energy analysis and introduced the concept of “vibrational entropy” and the “vibrational temperature” of sub-systems In steady-state condition, we have shown that the entropy exchanged with exterior by sources and dissipation exactly balances the production of entropy by irreversible processes at interface between sub-systems. Read more...
Statistical energy analysis for complex structures. Sub-systems behave like tanks for vibrational energy but also vibrational entropy. The first principle states the exchanges of vibrational energy between sus-systems and the second principle the exchanges of vibrational entropy.

A. Le Bot, Entropy in statistical energy analysis, Journal of the Acoustical Society of America, vol. 125, p. 1473-1478 , 2009.

A. Le Bot, A. Carcaterra, D. Mazuyer, Statistical vibroacoustics and entropy concept, Entropy, vol. 12, p. 2418-2435, 2010.

Statistical energy analysis is not a high frequency method!

It is usually claimed that statistical energy analysis is a high frequency theory of vibroacoustics. To check this assertion, we have applied the dimensional analysis to rectangular plates and have identified four dimensionless numbers for the validity of SEA: The mode count N, the modal overlap M, the normalized attenuation factor m and the coupling strength. Numerical experiments performed by solving the governing equations by the 'brute force' confirm that the validity domain of SEA in the frequency-damping loss factor plane is a narrow strip which upper limit dreceases with frequency. An increase of frequency with a constant damping loss factor may lead to get out the validity domain! Read more...

Left, Validity domain of SEA in the frequency-damping plane (dark zone). Right, At high frequency SEA no longer applies.

A. Le Bot and V. Cotoni, Validity diagrams of statistical energy analysis, Journal of Sound and Vibration, vol. 329, p. 221-235, 2010.

T. Lafont, N. Totaro, A. Le Bot, Review of statistical energy analysis hypotheses in vibroacoustics, Proceedings of the Royal Society A, In Press, 2014.

Copyright (C) 2010 Alain Le Bot. All rights reserved, tous droits réservés. Last revision 5th january 2014.