2026-09-23T01:20:37Zhttps://bura.brunel.ac.uk/oai/request

oai:bura.brunel.ac.uk:2438/66302014-11-01T11:26:45Zcom_2438_23com_2438_58com_2438_8627com_2438_8620col_2438_3672col_2438_8629col_2438_235

Lawrie, JB Grant, Andrew 2012-09-14T08:11:09Z 2012-09-14T08:11:09Z 2001 http://bura.brunel.ac.uk/handle/2438/6630 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University. 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. Submitted by Lesh Gowreesunker (lesh.gowreesunker@brunel.ac.uk) on 2012-09-14T08:10:53Z No. of bitstreams: 1 Fulltext.pdf: 3306148 bytes, checksum: 99b9f32d4bb863cd575e4af693bf4419 (MD5) Approved for entry into archive by Lesh Gowreesunker(lesh.gowreesunker@brunel.ac.uk) on 2012-09-14T08:11:09Z (GMT) No. of bitstreams: 1 Fulltext.pdf: 3306148 bytes, checksum: 99b9f32d4bb863cd575e4af693bf4419 (MD5) Made available in DSpace on 2012-09-14T08:11:09Z (GMT). No. of bitstreams: 1 Fulltext.pdf: 3306148 bytes, checksum: 99b9f32d4bb863cd575e4af693bf4419 (MD5) en Brunel University, School of Information Systems, Computing and Mathematics School of Information Systems, Computing and Mathematics http://bura.brunel.ac.uk/bitstream/2438/6630/1/FulltextThesis.pdf Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries Thesis