Skip to main content

Statistical Energy Analysis and the second principle of thermodynamics

  • Conference paper
IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 27))

Abstract

Statistical Energy Analysis is a statistical method in vibroacoustics entirely based on the application of energy balance that is the first principle of thermodynamics. In this study, the definition of vibrational entropy is introduced for sub-systems containing energy and modes. The rate of entropy production at interfaces between sub-systems is also derived. Finally, in steady-state condition, an entropy equilibrium is reached. The meaning of entropy and some implications of this entropy balance are also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lyon R.H. and DeJong R. (1995) Theory and Application of Statistical Energy Analysis. Butterworth-Heinemann, Boston

    Google Scholar 

  2. Lyon R.H. (2003) Fluctuation theory and (very) early statistical energy analysis. J. Acoust. Soc. Am. 113:2401–2403

    Article  Google Scholar 

  3. Le Bot A. (2006) Energy exchange in uncorrelated ray fields of vibroacoustics. J. Acoust. Soc. Am. 120:1194–1208

    Article  Google Scholar 

  4. Le Bot A. (2007) Derivation of statistical energy analysis from radiative exchanges. J. Sound Vib. 300:763–779

    Article  Google Scholar 

  5. Maxit L. (2003) Extension of sea model to subsystems with non-uniform modal energy distribution. J. Sound Vib. 265:337–358

    Article  Google Scholar 

  6. Carcaterra A. (1998) An entropy approach to statistical energy analysis. In: Proc. of Internoise 98 Christchurch, New-Zealand

    Google Scholar 

  7. Carcaterra A. (2002) An entropy formulation for the analysis of energy flow between mechanical resonators. Mech. Syst. Sig. Proc. 16:905–920

    Article  Google Scholar 

  8. Pauli W. (1973) Statistical Mechanics. Dover Publications Inc., New-York

    Google Scholar 

  9. Le Bot A. (2009) Entropy in Statistical Energy Analysis. J. Acoust. Soc. Am. 125:1473–1478

    Article  Google Scholar 

  10. Lyon R.H., Maidanik G. (1962) Power flow between linearly coupled oscillators. J. Acoust. Soc. Am. 34:623–639

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alain Le Bot .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this paper

Cite this paper

Le Bot, A. (2011). Statistical Energy Analysis and the second principle of thermodynamics. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0289-9_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0288-2

  • Online ISBN: 978-94-007-0289-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics