Meccanica

, Volume 31, Issue 2, pp 163–176 | Cite as

Circumventing space sampling limitations in mechanical vibrations

  • Aldo Sestieri
  • Antonio Carcaterra
Article
  • 22 Downloads

Abstract

The aim of this paper is to review the main techniques used to provide a significant solution to high frequency vibrations and/or structural-acoustic coupling. The characteristics of the different approaches are illustrated, focusing similarities and differences among them. A detailed description of the complex envelope displacement analysis is then presented, because of the promising developments of this approach. Finally some results are shown and discussed to emphasize the informative character of the different solutions.

Key words

Modelling Audio-frequency vibrations Envelope Hilbert transform Vibrations 

Sommario

Scopo di questo articolo è quello di fornire un panorama critico delle tecniche che si sono o si stanno attualmente sviluppando per lo studio delle vibrazioni nel campo delle alte frequenze e per problemi di accoppiamento acustico-strutturale. Vengono, in particolare, messe in evidenza similitudini e differenze tra i vari metodi esaminati. Successivamente viene descritto in dettaglio un modello, chimato inviluppo complesso di spostamento, che appare molto promettente e ricco di sviluppi futuri. Vengono infine presentati alcuni risultati per evidenziare il diverso contenuto informativo delle soluzioni ottenute con le varie tecniche analizzate.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Fahy, F.J., ‘Statistical energy analysis: a wolf in sheep clothing?’, In: Proc. Inter-Noise 93, Leuven, 1993.Google Scholar
  2. 2.
    Belov, V.D., Rybak, S.A. and Tartakovskii, B.D., ‘Propagation of vibrational energy in absorbing structures’, Soviet Physics Acoustics, 23 (2) (1977).Google Scholar
  3. 3.
    Buvailo, L.E. and Ionov, A.V., ‘Application of the finite element method to the investigation of the vibroacoustical characteristics of structures at high audio frequencies’, Soviet Physics Acoustics, 26 (4) (1980).Google Scholar
  4. 4.
    Nefske, D.J. and Sung, S.H., ‘Power Flow Finite Element Analysis of Dynamic Systems: Basic Theory and Application to Beams’, ASME Pub. NCA-3: Statistical Energy Analysis, 1987.Google Scholar
  5. 5.
    Wolhever, J.C. and Bernhard, R.J., ‘Mechanical energy flow models of rods and beams’, Journal of Sound and Vibration, 153(1) (1992) 1–19.Google Scholar
  6. 6.
    Carcaterra, A. and Sestieri, A., ‘Energy density equations and power flow in structures’, Journal of Sound and Vibration, 188(2) (1995) 269–282.Google Scholar
  7. 7.
    Le Bot, A. and Jezequel, L., ‘Energy methods applied to transverse vibrations of beams’, In: Proc. 4th Int. Cong. on Intensity Techniques, Senlis, 1993.Google Scholar
  8. 8.
    Le Bot, A. and Luzzato, E., ‘Smooth energy formulation for multi dimension problems’, In: Workshop on Methods in Medium and High Frequencies. An Alternative to SEA, Clamart (France), 1994.Google Scholar
  9. 9.
    Sestieri, A. and Carcaterra, A., ‘An envelope energy model for high frequency structural problems’, Journal of Sound and Vibration, 188(2) (1995) 283–295.Google Scholar
  10. 10.
    Carcaterra, A. and Sestieri, A., ‘Envelope versus envelope-phase energy model for high frequency vibrations’, In: Proc. XIII Int. Modal Analysis Conf., Nashville, U.S.A., 1994.Google Scholar
  11. 11.
    Carcaterra, A. and Sestieri, A., ‘Toward a complete definition of the envelope energy model for high frequency vibrations’, In: Proc. 19th Int. Seminar on Modal Analysis, Leuven, 1994.Google Scholar
  12. 12.
    Lyon, R.H. and Maidanik, G., ‘Power flow between linearly coupled oscillations’, Journal of the Acoustic Society of America, 34(15) (1962) 623–639.Google Scholar
  13. 13.
    Bouthier, O., Bernhard, R.J. and Wolhever, J.C., ‘Energy and structural intensity formulation of beam and plate vibrations’, In: Proc. 3rd Int. Conf. on Intensity Techniques, Senlis, 1990.Google Scholar
  14. 14.
    Langley, R.S., ‘Analysis of beam and plate vibrations by using the wave equation’, Journal of Sound and Vibration, 150(1) (1991) 47–65.Google Scholar
  15. 15.
    Langley, R.S., ‘A wave intensity technique for the analysis of high frequency vibrations’, Journal of Sound and Vibration, 135(3) (1989) 483–502.Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Aldo Sestieri
    • 1
  • Antonio Carcaterra
    • 1
  1. 1.Dipartimento Meccanica e AeronauticaUniversità di Roma ‘La Sapienza’RomaItaly

Personalised recommendations