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http://bura.brunel.ac.uk/handle/2438/6630
Title: | Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries |
Authors: | Grant, Andrew |
Advisors: | Lawrie, JB |
Issue Date: | 2001 |
Publisher: | Brunel University, School of Information Systems, Computing and Mathematics |
Abstract: | A method for solving boundary-value problems where a boundary parameter varies continuously in space is applied to some canonical waveguide problems. The method, previously employed by Roseau and Evans, generates a functional difference equation, the solution to which enables fluid velocity potential to be written as an explicit integral transform. The two main problems to which the method is applied are a two-dimensional waveguide with a varying impedance condition and an elastic-walled waveguide with varying bending stiffness. Limiting versions of the two problems are solved using the Wiener-Hopf technique. This provides a check on the varying-parameter solutions as well as being of interest in itself. |
Description: | This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University. |
URI: | http://bura.brunel.ac.uk/handle/2438/6630 |
Appears in Collections: | Brunel University Theses Dept of Mathematics Theses Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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FulltextThesis.pdf | 3.23 MB | Adobe PDF | View/Open |
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