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Wave Excitation on a Flexible Surface in the Presence of a Uniform Mean Flow

[+] Author Affiliations
Anthony D. Lucey

Curtin University of Technology, Perth, Australia

Pradeep K. Sen

Indian Institute of Technology, New Delhi, India

Peter W. Carpenter

University of Warwick, Coventry, UK

Paper No. IMECE2002-32201, pp. 1065-1076; 12 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • 5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-3659-2 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


The excitation of neutrally stable waves in a system comprising uniform flow over a flexible wall is studied. Linear theory and numerical simulation are used. A feature of wave excitation in such systems is that distinct amplitude ratios exist when more than one wave is present. An amplitude-ratio equation is first derived for the two waves excited directly by oscillatory excitation applied to a spatially homogeneous plate-spring flexible wall. There after, a second amplitude-ratio equation is derived for waves on a wall with spatially varying foundation-spring stiffness coefficient. In this case, waves beyond a region of changing flexibility are continuously excited by waves propagating through the region of change. Both energyflux and WKB methods are used to derive the final amplitude-ratio equation. It is shown, inter alia, that the waves upstream and downstream of the region of slowly changing wall properties are well-described by the dispersion equation based upon local wall properties. Finally, the case of waves incident upon a region of rapidly changing wall properties is simulated and discussed.

Copyright © 2002 by ASME



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