Table of Contents Author Guidelines Submit a Manuscript
Advances in Acoustics and Vibration
Volume 2011, Article ID 952407, 12 pages
http://dx.doi.org/10.1155/2011/952407
Research Article

Stochastic BEM for the Vibroacoustic Analysis of Three-Dimensional Structures

Dipartimento di Meccanica e Tecnologie Industriali, Università degli Studi di Firenze, Via di Santa Marta 3, 50139 Firenze, Italy

Received 14 January 2011; Revised 24 April 2011; Accepted 24 May 2011

Academic Editor: Kok Keong Choong

Copyright © 2011 R. D'Amico et al. 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.

Linked References

  1. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, vol. 1, 2, McGraw–Hill, London, UK, 4th edition, 1991.
  2. R. Butterfield and K. Bannerjee, Boundary Element Methods in Engineering Science, McGraw–Hill, New York, NY, USA, 1991.
  3. R. D. Ciskowski and C. A. Brebbia, Boundary Element Methods in Acoustics, WIT Press, Southampton, UK, 1991.
  4. R. Hallez and K. De Langhe, “Solving large industrial acoustic models with the Fast Multipole Method,” in Proceedings of the International Congress on Sound and Vibration (ICSV '09), Krakow, Poland, July 2009.
  5. H. Briot, M. Tournour, and G. Massa, “On a few recent advances offinite element methods for the Helmholtz equation,” in Proceedings of the 16th International Congress on Sound and Vibration (ICSV '09), Krakow, Poland, July 2009.
  6. W. Desmet, A wave based prediction technique for coupled vibro-acoustic analysis, Ph.D. thesis, KU Leuven, Division PMA, Leuven, Belgium, 1998.
  7. C. S. Manohar and A. J. Keane, Statistics of Energy Flows in Spring-Coupled One-Dimensional Systems, MIT Press, Cambridge, UK, 1997.
  8. A. J. Keane and C. S. Manohar, “Energy flow variability in a pair of coupled stochastic rods,” Journal of Sound and Vibration, vol. 168, no. 2, pp. 253–284, 1993. View at Publisher · View at Google Scholar · View at Scopus
  9. F. J. Fahy and A. D. Mohammed, “A study of uncertainty in applications of sea to coupled beam and plate systems, part I: computational experiments,” Journal of Sound and Vibration, vol. 158, no. 1, pp. 45–67, 1992. View at Google Scholar · View at Scopus
  10. N. Baldanzini, “Progettazione meccanica per la riduzione del rumore e delle vibrazioni: lo strumento della Statistical Energy Anlysis,” in Proceedings of the 30th Convegno Nazionale Associazione Italiana Analisi delle Sollecitazioni (AIAS '01), Alghero, Italy, Settembre 2001.
  11. R. H. Lyon, Statistical Energy Analysis of Dynamical Systems, MIT Press, Cambridge, Mass, USA, 1975.
  12. R. J. M. Craik, Sound Transmission through Buildings Using Statistical Energy Analysis, Gower, London, UK, 1996.
  13. K. De Langhe, High-frequency vibrations: contribuitons to experimental and computational SEA parameter identification techniques, Ph.D. thesis, KU Leuven, Division PMA, Leuven, Belgium, 1996.
  14. G. Borello and L. Gagliardini., “Virtual SEA: towards an industrial process,” in Proceedings of the SAE Noise and Vibration Conference, St. Charles, Ill, USA, 2007.
  15. B. R. Mace and E. Manconi, “Modelling wave propagation in two-dimensional structures using finite element analysis,” Journal of Sound and Vibration, vol. 318, no. 4-5, pp. 884–902, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. S. Finnveden and M. Fraggstedt, “Waveguide finite elements for curved structures,” Journal of Sound and Vibration, vol. 312, no. 4-5, pp. 644–671, 2008. View at Publisher · View at Google Scholar
  17. P. J. Shorter and R. S. Langley, “Vibro-acoustic analysis of complex systems,” Journal of Sound and Vibration, vol. 288, no. 3, pp. 669–699, 2005. View at Publisher · View at Google Scholar
  18. P. Ragnarsson, B. Pluymers, S. Donders, and W. Desmet, “Subcomponent modelling of input parameters for statistical energy analysis by using a wave-based boundary condition,” Journal of Sound and Vibration, vol. 329, no. 1, pp. 96–108, 2010. View at Publisher · View at Google Scholar
  19. D. J. Nefske and S. H. Sung, “Power flow finite element analysis of dynamic systems: basic theory and application to beams,” in Proceedings of the Statistical Energy Analysis, vol. 3, pp. 47–54.
  20. J. C. Wohlever and R. J. Bernhard, “Mechanical energy flow models of rods and beams,” Journal of Sound and Vibration, vol. 153, no. 1, pp. 1–19, 1992. View at Google Scholar · View at Scopus
  21. O. M. Bouthier and R. J. Bernhard, “Simple models of energy flow in vibrating membranes,” Journal of Sound and Vibration, vol. 182, no. 1, pp. 129–147, 1995. View at Publisher · View at Google Scholar · View at Scopus
  22. O. M. Bouthier and R. J. Bernhard, “Simple models of energy flow in vibrating plates,” Journal of Sound and Vibration, vol. 182, no. 1, pp. 149–166, 1995. View at Google Scholar
  23. Y. Lase, M. N. Ichchou, and L. Jezequel, “Energy flow analysis of bars and beams: theoretical formulations,” Journal of Sound and Vibration, vol. 192, no. 1, pp. 281–305, 1996. View at Publisher · View at Google Scholar · View at Scopus
  24. M. N. Ichchou, A. Le Bot, and L. Jezequel, “Energy models of one-dimensional, multi-propagative systems,” Journal of Sound and Vibration, vol. 201, no. 5, pp. 535–554, 1997. View at Google Scholar · View at Scopus
  25. M. Viktorovitch, P. Moron, F. Trouverez, and L. Jézéquel, “A stochastic approach of the energy analysis for one-dimensional structures,” Journal of Sound and Vibration, vol. 216, no. 3, pp. 361–377, 1998. View at Google Scholar
  26. M. Viktorovitch, F. Thouverez, and L. Jezequel, “A stochastic reformulation of the power flow equations for membranes and plates,” Journal of Sound and Vibration, vol. 211, no. 5, pp. 910–917, 1998. View at Google Scholar · View at Scopus
  27. M. Viktorovitch, F. Thouverez, and L. Jezequel, “A new random boundary element formulation applied to high frequency phenomena,” Journal of Sound and Vibration, vol. 223, no. 2, pp. 273–296, 1999. View at Google Scholar · View at Scopus
  28. M. Viktorovitch, F. Thouverez, and L. Jezequel, “An integral formulation with random parameters adapted to the study of the vibrational behaviour of structures in the middle- and high-frequency field,” Journal of Sound and Vibration, vol. 247, no. 3, pp. 431–452, 2001. View at Publisher · View at Google Scholar
  29. A. Pratellesi, Noise and vibration analysis in the mid frequency range, Ph.D. thesis, Università degli Studi di Firenze, Firenze, Italy, 2007.
  30. A. Pratellesi, M. Viktorovitch, N. Baldanzini, and M. Pierini, “A hybrid formulation for mid-frequency analysis of assembled structures,” Journal of Sound and Vibration, vol. 309, no. 3–5, pp. 545–568, 2008. View at Publisher · View at Google Scholar · View at Scopus
  31. M. Viktorovitch and A. Pratellesi, “A hybrid mid-frequency formulation for vibro-acoustic predictions,” Noise Control Engineering Journal, vol. 56, no. 1, pp. 71–84, 2008. View at Publisher · View at Google Scholar · View at Scopus