DOI QR코드

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The random structural response due to a turbulent boundary layer excitation

  • De Rosa, S. (Department of Aeronautical Engineering, Universita degli Studi di Napoli "Federico II") ;
  • Franco, F. (Department of Aeronautical Engineering, Universita degli Studi di Napoli "Federico II") ;
  • Romano, G. (Department of Aerospace and Mechanical Engineering, Seconda Universita degli Studi di Napoli) ;
  • Scaramuzzino, F. (Department of Aerospace and Mechanical Engineering, Seconda Universita degli Studi di Napoli)
  • 투고 : 2002.10.18
  • 심사 : 2003.10.15
  • 발행 : 2003.12.25

초록

In this paper, the structural random response due to the turbulent boundary layer excitation is investigated. Using the mode shapes and natural frequencies of an undamped structural operator, a fully analytical model has been assembled. The auto and cross-spectral densities of kinematic quantities are so determined through exact analytical expansions. In order to reduce the computational costs associated with the needed number of modes, it has been tested an innovative methodology based on a scaling procedure. In fact, by using a reduced spatial domain and defining accordingly an augmented artificial damping, it is possible to get the same energy response with reduced computational costs. The item to be checked was the power spectral density of the displacement response for a flexural simply supported beam; the very simple structure was selected just to highlight the main characteristics of the technique. In principle, it can be applied successfully to any quantity derived from the modal operators. The criterion and the rule of scaling the domain are also presented, investigated and discussed. The obtained results are encouraging and they allow thinking successfully to the definition of procedure that could represent a bridge between modal and energy methods.

키워드

참고문헌

  1. Bull, M.K. (1996), "Wall pressure fluctuations beneath turbulent boundary layers: some reflections on forty years of research", J. Sound Vib., 190(3), 299-315. https://doi.org/10.1006/jsvi.1996.0066
  2. Cousin, G. (1999), "Sound from T.B.L. induced vibrations", Royal Institute of Technology, Dept. of Vehicle Engineering, The Marcus Wallenberg Laboratory for Sound and Vibration Research, ISSN 1103-470X, ISRN KTH/FKT/L-99/35-SE.
  3. Corcos, G.M. (1963), "The structure of the turbulent pressure field in boundary layer flows", J. Fluid Mech., 18, 353-378.
  4. Corcos, G.M. (1967), "The resolution of turbulent pressure at the wall of a boundary layer", J. Sound Vib., 6, 59-70. https://doi.org/10.1016/0022-460X(67)90158-7
  5. Davies, H.G. (1971), "Sound from turbulent boundary layer excited panels", J. Acoustical Society of America, 49(3), Part II, 878-889. https://doi.org/10.1121/1.1912428
  6. De Rosa, S., et alii (1997), "First assessment of the energy based similitude for the evaluation of the damped structural response", J. Sound Vib., 204(3), 540-548. https://doi.org/10.1006/jsvi.1996.0910
  7. De Rosa, S., et alii (2003), "Analysis of radiated power from a plate in a turbulent boundary layer", Invited Paper at Euronoise Conference, Naples, Italy, 19-21 May, Paper #47.
  8. Elishakoff, I. (1983), Probabilistic Methods in the Theory of Structures, John Wiley & Sons, ISBN 0471875724.
  9. Franco, F., et alii (1997), "The energy based similitude for the energetic vibration response prediction of 2D systems", C.E.A.S. Intern. Forum on Structural Dynamics and Aeroelasticity, III, 223-229, Rome.
  10. Lyon, R.H. and Dejong, R.G. (1995), Theory and Application of Statistical Energy Analysis, RH Lyon Corp; 2nd edition, ISBN 0750691115
  11. Skudrzyk, E. (1968), Simple and Complex Vibratory Systems, The Pennsylvania State University Press, University Park and London, Catalog Card 66-18222.

피인용 문헌

  1. A scaling procedure for the response of an isolated system with high modal overlap factor vol.22, pp.7, 2008, https://doi.org/10.1016/j.ymssp.2008.01.007
  2. Convected field analysis of flat panels response to turbulent boundary layer induced excitation vol.12, pp.1, 2008, https://doi.org/10.1016/j.ast.2007.10.003
  3. Aeroacoustics research in Europe: The CEAS-ASC report on 2003 highlights vol.278, pp.1-2, 2004, https://doi.org/10.1016/j.jsv.2004.06.002
  4. Exact and numerical responses of a plate under a turbulent boundary layer excitation vol.24, pp.2, 2008, https://doi.org/10.1016/j.jfluidstructs.2007.07.007