Statistical energy analysis

Statistical Energy Analysis is a theory of energy exchanges in vibroacoustical systems. Proposed in the sixties by Lyon, Sharton, Maidanik, Smith, Ungar... SEA is the analogous of thermodynamics for audio frequencies. Introducing the concept of vibrational temperature, SEA is based on the assumption that the exchanged powed between adjacent vibrational systems is proportional to the difference of vibrational temperatures. Although SEA is commonly applied in engineering, it is still in development. Our work aims to clarify the foundations of SEA and especially the assumption of "diffuse field" which can also be enounciated as the theorem of "equipartition of energy". The study of non-diffuse field in SEA is related to the non-equilibrium theory of thermodynamics.

Personnels concernés

Chercheur Position Laboratoire
J. Perret-Liaudet
T. Lafont
Doctorant LTDS/LVA
E. Sadoulet-Reboul Doctorante LTDS

Collaborations extérieures

A. Carcaterra     Sapienza University     Professor Italy

V. Cotoni     CD-Adapco     Scientist    USA

Liste de publications

A. Le Bot."Foundation of statistical energy analysis in vibroacoustics", Oxford University Press, Oxford UK, 2015.

"On the vibration analysis of structures with uncertainties" Edited by A.K. Belayev and R. Langley, part II chapter 2 Statistical Energy Analysis and the second principle of thermodynamics by A. Le Bot, IUTAM bookseries, Springer, 2011.

A. Le Bot, E. Sadoulet-Reboul. "High frequency vibroacousics: A radiative transfer equation and radiosity based approach," Wave Motion, vol. 51, 598-605, 2014.

T. Lafont, N. Totaro, A. Le Bot. "Review of statistical energy analysis hypotheses in vibroacoustics," Proceedings of the Royal Society A, vol. 470, 20130515, 2013.

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

A. Le Bot. "Entropy in Statistical Energy Analysis," Journal of Acoustical Society of America, vol. 125, pages 1473-1478, 2009.

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

A. Le Bot. "Derivation of Statistical Energy Analysis from radiative exchanges," Journal of Sound and Vibration, vol. 300, pages 763-779, 2007.


A. Le Bot. "Statistical energy analysis et thermodynamique statistique." Congrès français d’acoustique , Le Mans, 11–15 avril 2016.

A. Le Bot. "Statistical energy analysis: theory and applications," Up2hf Mid and high frequency modelling in structural acoustics summer school, Ecully, France, 1–3 july 2015.

T. Lafont, N. Totaro, and A. Le Bot. "Statistical energy analysis : from the understanding of its assumptions to the practical use." In Proceedings of NOVEM 2015 noise and vibration emerging technologies, 10 pages, Dubrovnik, Croatia, 13–15 april 2015.

T. Lafont, N. Totaro, and A. Le Bot. "Acoustique statistique : étude de l’hypothèse de couplage faible et de l’influence des modes non-résonants pour la SEA," In proceedings of 12e congrès français d’acoustique. CFA 22-25 avril 2014, Poitiers, France.

T. Lafont, N. Totaro, and A. Le Bot. "A study of the assumptions used in statistical energy analysis." In Proceedings of Internoise, Melbourne, Australia, 16–19 november 2014.

T. Lafont, N. Totaro, and A. Le Bot. S "Statistical energy analysis : correlation between diffuse field and energy equipartition," In Proceedings of the 1st euro-mediterranean conference on structural dynamics and vibroacoustics, 4 pages, Medyna, Marrakech, Morocco, 23–25 april 2013.

A. Le Bot. "High frequency vibroacoustics : a radiative transfer equation based approach," InnoWave 2012, 3–7 september 2012, Nottingham, UK.

A. Le Bot, A. Carbonelli and J. Perret Liaudet. "On the usefulness of entropy in statistical energy analysis," In proceedings of Acoustics 2012, 4 pages, Nantes, France, 23–27 april 2012.

A. Le Bot. "Radiative transfer equation in vibro-acoustics : Theoretical and numerical approach," Enumath 2011, Leicester, UK, 5–9 sept. 2011.

A. Le Bot, A. Carbonelli, J. Perret-Liaudet. "Entropy : a counterpart in statistical energy analysis," In proceedings of 18th International congress on Sound and Vibration, 6 pages, ICSV18, Rio de Janeiro, Brazil, 10–14 july 2011.

A. Le Bot, Statistical Energy Analysis, entropy and thermodynamics," Mi- dea midfrequency energy analysis workshop, 2-3 may 2011, Schloss Thurnau, Germany.

A. Le Bot. "Equilibrium and non-equilibrium in Statistical Energy Analysis," Noise and Vibration : Emerging methods NOVEM 2009, Oxford, United Kingdom, 9 pages, 5 - 8 april 2009

A. Le Bot, V. Cotoni. "Discussion on the validity domain of Statistical Energy Analysis," Acoustics’08, Paris, France, 4 pages, 29 june - 4 july 2008.