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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)

Abstract

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.

Keywords

Half Plane Pole Contribution Stop Band Fluid Loading Dispersion Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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