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DC Field | Value | Language |
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dc.contributor.author | Lawrie, JB | - |
dc.date.accessioned | 2009-07-09T15:46:07Z | - |
dc.date.available | 2009-07-09T15:46:07Z | - |
dc.date.issued | 2009-05-27 | - |
dc.identifier.citation | Lawrie, J.B. (2009) 'Orthogonality relations for fluid-structural waves in a 3-D rectangular duct with flexible walls', Proceedings of the Royal Society A. 365 (2108), pp. 2347-2367. doi: 10.1098/rspa.2009.0066. | en |
dc.identifier.issn | 1364-5021 | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/3464 | - |
dc.description.abstract | An exact expression for the fluid-coupled structural waves that propagate in a three-dimensional, rectangular waveguide with elastic walls is presented in terms of the non-separable eigenfunctions ψn(y,z). It is proved that these eigenfunctions are linearly dependent and that an eigenfunction expansion representation of a suitably smooth function f(y,z) converges point-wise to that function. Orthogonality results for the derivatives ψny(a,z) are derived which, together with a partial orthogonality relation for ψn(y,z), enable the solution of a wide range of acoustic scattering problems. Two prototype problems, of the type typically encountered in two-part scattering problems, are solved, and numerical results showing the displacement of the elastic walls are presented. | en |
dc.description.sponsorship | Brunel Open Access Publishing Fund | en |
dc.format.extent | 320133 bytes | - |
dc.format.extent | 2347-2367 | - |
dc.format.medium | Print-Electronic | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | The Royal Society | en |
dc.rights | Copyright © 2009 The Royal Society. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | Three-dimensional waveguide | en |
dc.subject | Flexible wall | en |
dc.subject | Elastic plate | en |
dc.subject | Orthogonality relation | en |
dc.subject | Acoustic scattering | en |
dc.subject | Mode-matching | en |
dc.title | Orthogonality relations for fluid-structural waves in a 3-D rectangular duct with flexible walls | en |
dc.type | Research Paper | en |
dc.identifier.doi | https://doi.org/10.1098/rspa.2009.0066 | - |
pubs.issue | 2108 | - |
pubs.volume | 365 | - |
dc.identifier.eissn | 1471-2946 | - |
dc.rights.holder | The Royal Society | - |
Appears in Collections: | Brunel OA Publishing Fund Dept of Mathematics Research Papers Mathematical Sciences |
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Orthogonality relations for fluid-structural waves in a 3-D rectangular duct with flexible walls.pdf | Copyright © 2009 The Royal Society. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | 311.58 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License