Some Analytical Methods for Fluid-Structure Interaction Problems

  • N. Peake
Conference paper
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 396)


The aim of this chapter is to present a range of powerful analytical techniques which can be used to solve important model problems in structural acoustics. We start by reviewing Fourier Transform techniques and far-field asymptotics applied to infinite geometries, and in particular study the sound generation by a vibrating wall and by a fluid-loaded elastic plate. We then describe the Wiener-Hopf technique for solving two-part boundary value problems, and show in detail how it can be used to solve the classical Sommerfeld problem of diffraction by a rigid sharp edge, followed by application to a problem involving fluid loading. The Briggs-Bers method for determining the causal solution of initial-value problems is then described, which has important application, with very surprising results, to the dynamics of fluid-loaded structures in the presence of mean flow. We then move on to look at the behaviour of panels with periodically positioned inhomogeneities, and finally investigate a nonlinear problem of plate resonance.


Half Plane Pole Contribution Stop Band Fluid Loading Dispersion Function 


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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • N. Peake
    • 1
  1. 1.University of CambridgeCambridgeUK

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