{"id":{"repo_id":"brunel","oai_identifier":"oai:bura.brunel.ac.uk:2438/6630"},"canonical_url":"https://search.dev.ndltd.org/etd/brunel/oai:bura.brunel.ac.uk:2438/6630","repository":{"repo_id":"brunel","name":"University of Brunel","base_url":"https://bura.brunel.ac.uk/oai/request"},"display":{"title":"Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Grant, Andrew"],"institution":"Brunel University, School of Information Systems, Computing and Mathematics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Lawrie, JB"],"committee_chairs":[],"committee_members":[],"year":2001,"date_issued":"2001","date_published":"2001","updated_at":"2026-07-24T01:23:28Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://bura.brunel.ac.uk/handle/2438/6630","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Lawrie, JB"]},{"key":"dc:creator","label":"Author","values":["Grant, Andrew"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-09-14T08:11:09Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2012-09-14T08:11:09Z"]},{"key":"dc:date.issued","label":"Date","values":["2001"]},{"key":"dc:publisher","label":"Institution","values":["Brunel University, School of Information Systems, Computing and Mathematics"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://bura.brunel.ac.uk/handle/2438/6630"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University."]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries"]}]}],"canonical_facts":{"dc:contributor.advisor":["Lawrie, JB"],"dc:creator":["Grant, Andrew"],"dc:date.accessioned":["2012-09-14T08:11:09Z"],"dc:date.available":["2012-09-14T08:11:09Z"],"dc:date.issued":["2001"],"dc:description":["This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University."],"dc:description.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."],"dc:identifier.uri":["http://bura.brunel.ac.uk/handle/2438/6630"],"dc:language.iso":["en"],"dc:publisher":["Brunel University, School of Information Systems, Computing and Mathematics"],"dc:title":["Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T01:23:28Z"}