Statistical Vibroacoustics and Entropy Concept

Alain Le Bot (1) , Antonio Carcaterra (2) , Denis Mazuyer (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes
2 Department of Mechanics and Aeronautics

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.

Mots clés: entropy; non-equilibrium thermodynamics; vibroacoustics; statistical energy analysis; friction

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Alain Le Bot, Antonio Carcaterra, Denis Mazuyer. Statistical Vibroacoustics and Entropy Concept. Entropy, 2010, 12, pp.2418-2435. ⟨10.3390/e12122418⟩. ⟨hal-00573942⟩