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Entropy 2010, 12(12), 2418-2435; doi:10.3390/e12122418
Article

Statistical Vibroacoustics and Entropy Concept

1,* , 2
 and 1
1 Laboratoire de Tribologie et Dynamique des Sysemes CNRS, Ecole Centrale de Lyon, 36, av. Guy de Collongue, 69134 Ecully, France 2 Department of Mechanics and Aeronautics, University of Rome ’La Sapienza’, Via Eudossiana, 18, 00184 Rome, Italy
* Author to whom correspondence should be addressed.
Received: 20 November 2010 / Revised: 8 December 2010 / Accepted: 9 December 2010 / Published: 13 December 2010
(This article belongs to the Special Issue Nonequilibrium Thermodynamics)
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Abstract

Statistical vibroacoustics, also called statistical energy analysis (SEA) in the field of engineering, is born from the application of statistical physics concepts to the study of random vibration in mechanical and acoustical systems. This article is a discussion on the thermodynamic foundation for that approach with particular emphasis devoted to the meaning of entropy, a concept missing in SEA. The theory focuses on vibration confined to the audio frequency range. In this frequency band, heat is defined as random vibration that is disordered vibration and temperature is the vibration energy per mode. Always in this frequency band, the concept of entropy is introduced and its meaning and role in vibroacoustics are enlightened, together with the related evolutionary equation. It is shown that statistical vibroacoustics is non-equilibrium thermodynamics applied to the audio range.
Keywords: entropy; non-equilibrium thermodynamics; vibroacoustics; statistical energy analysis; friction entropy; non-equilibrium thermodynamics; vibroacoustics; statistical energy analysis; friction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Le Bot, A.; Carcaterra, A.; Mazuyer, D. Statistical Vibroacoustics and Entropy Concept. Entropy 2010, 12, 2418-2435.

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