Hydroelastic wave diffraction by a vertical cylinder
A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The...
Published in: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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Language: | English |
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crroyalsociety:10.1098/rsta.2011.0110 2024-09-15T18:12:11+00:00 Hydroelastic wave diffraction by a vertical cylinder Brocklehurst, Paul Korobkin, Alexander Părău, Emilian I. 2011 http://dx.doi.org/10.1098/rsta.2011.0110 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2011.0110 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2011.0110 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 369, issue 1947, page 2832-2851 ISSN 1364-503X 1471-2962 journal-article 2011 crroyalsociety https://doi.org/10.1098/rsta.2011.0110 2024-08-05T04:35:30Z A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The hydroelastic behaviour of the ice sheet is described by linear elastic plate theory, and the fluid flow by a potential flow model. The two-dimensional incident wave is regular and has small amplitude. An analytical solution of the coupled problem of hydroelasticity is found by using a Weber transform. We determine the ice deflection and the vertical and horizontal forces acting on the cylinder and analyse the strain in the ice sheet caused by the incident wave. Article in Journal/Newspaper Ice Sheet The Royal Society Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369 1947 2832 2851 |
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Open Polar |
collection |
The Royal Society |
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crroyalsociety |
language |
English |
description |
A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The hydroelastic behaviour of the ice sheet is described by linear elastic plate theory, and the fluid flow by a potential flow model. The two-dimensional incident wave is regular and has small amplitude. An analytical solution of the coupled problem of hydroelasticity is found by using a Weber transform. We determine the ice deflection and the vertical and horizontal forces acting on the cylinder and analyse the strain in the ice sheet caused by the incident wave. |
format |
Article in Journal/Newspaper |
author |
Brocklehurst, Paul Korobkin, Alexander Părău, Emilian I. |
spellingShingle |
Brocklehurst, Paul Korobkin, Alexander Părău, Emilian I. Hydroelastic wave diffraction by a vertical cylinder |
author_facet |
Brocklehurst, Paul Korobkin, Alexander Părău, Emilian I. |
author_sort |
Brocklehurst, Paul |
title |
Hydroelastic wave diffraction by a vertical cylinder |
title_short |
Hydroelastic wave diffraction by a vertical cylinder |
title_full |
Hydroelastic wave diffraction by a vertical cylinder |
title_fullStr |
Hydroelastic wave diffraction by a vertical cylinder |
title_full_unstemmed |
Hydroelastic wave diffraction by a vertical cylinder |
title_sort |
hydroelastic wave diffraction by a vertical cylinder |
publisher |
The Royal Society |
publishDate |
2011 |
url |
http://dx.doi.org/10.1098/rsta.2011.0110 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2011.0110 https://royalsocietypublishing.org/doi/full-xml/10.1098/rsta.2011.0110 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 369, issue 1947, page 2832-2851 ISSN 1364-503X 1471-2962 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rsta.2011.0110 |
container_title |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
369 |
container_issue |
1947 |
container_start_page |
2832 |
op_container_end_page |
2851 |
_version_ |
1810449767091666944 |