statistical vibroacoustics and entropy concept统计声和熵的概念.pdf
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Entropy 2010, 12, 2418-2435; doi:10.3390/
OPEN ACCESS
entropy
ISSN 1099-4300
/journal/entropy
Article
Statistical Vibroacoustics and Entropy Concept
Alain Le Bot 1,, Antonio Carcaterra 2 and Denis Mazuyer 1
1 Laboratoire de Tribologie et Dynamique des Sysemes CNRS, Ecole Centrale de Lyon, 36, av. Guy de
Collongue, 69134 Ecully, France; E-Mail: denis.mazuyer@ec-lyon.fr
2 Department of Mechanics and Aeronautics, University of Rome ’La Sapienza’, Via Eudossiana, 18,
00184 Rome, Italy; E-Mail: a.carcaterra@dma.ing.uniroma1.it
Author to whom correspondence should be addressed; E-Mail: alain.le-bot@ec-lyon.fr;
Tel.: +33-4-72-18-62-75; Fax: +33-4-78-43-33-83.
Received: 20 November 2010; in revised form: 8 December 2010 / Accepted: 9 December 2010 /
Published: 13 December 2010
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
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