Skip to main content
SpringerLink
Log in

A Numerical Methodology for Resolving Aeroacoustic-Structural Response of Flexible Panel

  • Conference paper
  • First Online:
Flinovia - Flow Induced Noise and Vibration Issues and Aspects

Abstract

Fluid-structure interaction problem is relevant to the quieting design of flow ducts found in many aeronautic and automotive engineering systems where the thin duct wall panels are directly in contact with a flowing fluid. A change in the flow unsteadiness, and/or in the duct geometry, generates an acoustic wave which may propagate back to the source region and modifies the flow process generating it (i.e. an aeroacoustic process). The unsteady pressure arising from the aeroacoustic processes may excite the flexible panel to vibrate which may in turn modify the source aeroacoustic processes. Evidently there is a strong coupling between the aeroacoustics of the fluid and the structural dynamics of the panel in this scenario. It is necessary to get a thorough understanding of the nonlinear aeroacoustic-structural coupling in the design of effective flow duct noise control. Otherwise, an effective control developed with only one media (fluid or panel) in the consideration may be completely counteracted by the dynamics occurring in another media through the nonlinear coupling. The present paper reports an attempt in developing a time-domain numerical methodology which is able to calculate the nonlinear fluid-structure interaction experienced by a flexible panel in a flow duct and its aeroacoustic-structural response correctly. The developed methodology is firstly verified able to capture the acoustic-structural interaction in the absence of flow where the numerical results agree with theory very well. A uniform mean flow is then allowed to pass through the duct so as to impose an aeroacoustic-structural interaction on the flexible panel. As a result, the nonlinear coupling between the flow aeroacoustics and panel structural dynamics are found completely different from the case without mean flow. A discussion of the new physical behaviors found is given.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
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

References

  1. D.A. Anderson, J.C. Tannehill, R.H. Pletcher, Computational Fluid Mechanics and Heat Transfer, 2nd edn. (McGraw-Hill, New York, 1984), pp. 156–157

    MATH  Google Scholar 

  2. C. Bogey, A family of low dispersive and low dissipative explicit schemes for flow and noise computations. J. Comput. Phys. 194, 194–214 (2004)

    Article  MATH  Google Scholar 

  3. P.W. Carpenter, A.D. Garrad, The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech. 170, 199–232 (1986)

    Article  MATH  Google Scholar 

  4. S. Chakraverty, Vibration of Plates (CRC Press, Boca Raton, 2009), pp. 21–22

    Google Scholar 

  5. S.C. Chang, The method of space-time conservation element and solution element–a new approach for solving the Navier-Stokes and Euler equations. J. Comput. Phys. 119, 295–324 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  6. R.L. Clark, K.D. Frampton, Aeroelastic structural acoustic coupling: implications on the control of turbulent boundary-layer noise transmission. J. Acoust. Soc. Am. 102(3), 1639–1647 (1997)

    Article  Google Scholar 

  7. D.G. Crighton, Acoustics as a branch of fluid mechanics. J. Fluid Mech. 106, 261–298 (1981)

    Article  MATH  Google Scholar 

  8. A. Cummings, Sound transmission through duct walls. J. Sound Vib. 239, 731–765 (2001)

    Article  Google Scholar 

  9. M. De’ Michieli Vitturi, T. Esposti Ongaro, A. Neri, M.V. Salvetti, F. Beux, An immersed boundary method for compressible multiphase flows: application to the dynamics of pyroclastic density currents. Comput. Geosci. 11, 183–198 (2007). doi:10.1007/s10596-007-9047-9

  10. A. Frendi, L. Maestrello, L. Ting, An efficient model for coupling structural vibrations with acoustic radiation. J. Sound Vib. 182(5), 741–757 (1995)

    Article  Google Scholar 

  11. S.I. Hayek, Advanced Mathematical Methods in Science and Engineering, 2nd edn. (CRC Press, Boca Raton, 2011), p. 599

    MATH  Google Scholar 

  12. L. Huang, A theoretical study of duct noise control by flexible panels. J. Acoust. Soc. Am. 106(4), 1801–1809 (1999)

    Article  Google Scholar 

  13. L. Huang, Y.S. Choy, R.M.C. So, T.L. Chong, Experimental study of sound propagation in a flexible duct. L. J. Acoust. Soc. Am. 118(2), 624–631 (2000)

    Article  Google Scholar 

  14. I. Jadic, R.M.C. So, M.P. Mignolet, Analysis of fluid-structure interactions using a time-marching technique. J. Fluid Struct. 12, 631–654 (1998)

    Article  Google Scholar 

  15. R. Jaiman, P. Geubelle, E. Loth, X. Jiao, Combined interface boundary condition method for unsteady fluid-structure interaction. Comput. Methods Appl. Mech. Engrg. 200, 27–39 (2011)

    Article  MathSciNet  Google Scholar 

  16. G.C.Y. Lam, Aeroacoustics of merging flows at duct junctions. Dissertation, Department of Building Services Engineering, The Hong Kong Polytechnic University, Hong Kong, 2011

    Google Scholar 

  17. G.C.Y. Lam, R.C.K. Leung, S.K. Tang, Aeroacoustics of T-junction merging flow. J. Acoust. Soc. Am. 133, 697–708 (2013)

    Article  Google Scholar 

  18. G.C.Y. Lam, R.C.K. Leung, S.K. Tang, K.H. Seid, Validation of CE/SE scheme for low mach number direct aeroacoustic simulation. Int. J. Nonlin. Sci. Num. 15(2), 157–169 (2014)

    Article  MathSciNet  Google Scholar 

  19. A.D. Lucey, The excitation of waves on a flexible panel in a uniform flow. Philos. T Roy. Soc. A 356(1749), 2999–3039 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  20. J.S. Rao, Dynamics of Plates (Narosa Publishing House, New Delhi, 1999), p. 227

    MATH  Google Scholar 

  21. F. Schäfer, S. Müller, T. Uffinger, S. Becker, J. Grabinger, M. Kaltenbacher, Fluid-structure-acoustic interaction of the flow past a thin flexible structure. AIAA J. 48(4), 738–748 (2010)

    Article  Google Scholar 

  22. R.M.C. So, Y. Liu, Y.G. Lai, Mesh shape preservation for flow-induced vibration problems. J. Fluids Struct. 18(3–4), 287–304 (2003)

    Article  Google Scholar 

  23. R. Szilard, Theories and Applications of Plate Analysis (Wiley, Hoboken, 2004), pp. 57–60

    Book  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the supports given by the Research Grants Council of Hong Kong SAR Government under Grant Nos. PolyU 5230/09E and PolyU 5199/11E.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Randolph C. K. Leung, Harris K. H. Fan & Garret C. Y. Lam

Authors
  1. Randolph C. K. Leung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Harris K. H. Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Garret C. Y. Lam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Randolph C. K. Leung .

Editor information

Editors and Affiliations

  1. INSEAN - Marine Technology Research Institute, National Research Council of Italy, Rome, Italy

    Elena Ciappi

  2. Department of Industrial Engineering Aerospace Unit, Univ degli Studi di Napoli "Federico II", Napoli, Italy

    Sergio De Rosa

  3. Department of Industrial Engineering Aerospace Unit, Università di Napoli "Federico II", Napoli, Italy

    Francesco Franco

  4. Laboratoire Vibrations Acoustique Mechanical Engineering Department, Nat Inst of Applied Sciences of Lyon, Villeurbanne cedex, France

    Jean-Louis Guyader

  5. Penn State Ctr for Acoustics and Vibr, The Pennsylvania State University, State College, Pennsylvania, USA

    Stephen A. Hambric

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Leung, R.C.K., Fan, H.K.H., Lam, G.C.Y. (2015). A Numerical Methodology for Resolving Aeroacoustic-Structural Response of Flexible Panel. In: Ciappi, E., De Rosa, S., Franco, F., Guyader, JL., Hambric, S. (eds) Flinovia - Flow Induced Noise and Vibration Issues and Aspects. Springer, Cham. https://doi.org/10.1007/978-3-319-09713-8_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09713-8_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09712-1

  • Online ISBN: 978-3-319-09713-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation