Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T18:30:55.608Z Has data issue: false hasContentIssue false
  • English
  • Français

Real space-time Green's functions applied to plate vibration induced by turbulent flow

Published online by Cambridge University Press:  29 March 2006

D. G. Crighton  and
J. E. Ffowcs Williams
D. G. Crighton
Affiliation:
Department of Mathematics, Imperial College, London
J. E. Ffowcs Williams
Affiliation:
Department of Mathematics, Imperial College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper describes calculations of the statistical properties of turbulence-induced plate vibration, the computational scheme making no reference to Fourier synthesis. The problem considered is that of a local turbulent field acting on an infinite thin elastic plate, and the statistics of the response field are described at large distances from the forcing region. Effects of mechanical dissipation in the plate are examined, along with a discussion of the relevance of the results to problems involving plates of finite extent.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 2 , 3 September 1969 , pp. 305 - 313
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cremer, L. & Heckl, M. 1967 Körperschall. Berlin: Springer-Verlag.
Crighton, D. G. 1968 Ph.D. Thesis, University of London.
Crighton, D. G. 1969 Proc. Camb. Phil. Soc. 65, 557.
Ffowcs Williams, J. E. 1963 Phil. Trans. Roy. Soc. A, 255, 469.
Ffowcs Williams, J. E. 1965 J. Fluid Mech. 22, 507.
Ffowcs Williams, J. E. & Hawkings, D. L. 1968 J. Fluid Mech. 31, 779.
Ffowcs Williams, J. E. & Lyon, R. H. 1963 Bolt, Beranek and Newman Report, no. 1054.
Lighthill, M. J. 1952 Proc. Roy. Soc. A, 211, 566.
Lighthill, M. J. 1953 Proc. I.A.U. Symposium, no. 2, 1953. Amsterdam: North-Holland Publ. Co., 1955.
Lighthill, M. J. 1954 Proc. Roy. Soc. A, 222, 1.