Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed
A solution method is developed for a linear model of ice shelf flexural vibrations in response to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf vary over distance, and the ice shelf/sub–ice-shelf cavity are connected to the open ocean. The method combines a decomposi...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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2021
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Online Access: | https://hdl.handle.net/2440/133364 https://doi.org/10.1098/rspa.2021.0173 |
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ftunivadelaidedl:oai:digital.library.adelaide.edu.au:2440/133364 2023-05-15T16:41:43+02:00 Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed Meylan, M.H. Ilyas, M. Lamichhane, B.P. Bennetts, L.G. 2021 https://hdl.handle.net/2440/133364 https://doi.org/10.1098/rspa.2021.0173 en eng Royal Society, The http://purl.org/au-research/grants/arc/FT190100404 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021; 477(2254):1-20 1364-5021 1471-2946 https://hdl.handle.net/2440/133364 doi:10.1098/rspa.2021.0173 Bennetts, L.G. [0000-0001-9386-7882] © 2021 The Author(s) Published by the Royal Society. All rights reserved. http://dx.doi.org/10.1098/rspa.2021.0173 ice shelves hydroelasticity water waves Journal article 2021 ftunivadelaidedl https://doi.org/10.1098/rspa.2021.0173 2023-02-05T19:43:15Z A solution method is developed for a linear model of ice shelf flexural vibrations in response to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf vary over distance, and the ice shelf/sub–ice-shelf cavity are connected to the open ocean. The method combines a decomposition of the ice shelf displacement profile at a prescribed frequency of motion into mode shapes of free vibrations, a finite-element method for the cavity water motion and a non-local operator to connect to the open ocean. An investigation is conducted into the effects of ice shelf thickening, seabed shoaling and the grounding-line conditions on time-harmonic ice shelf vibrations, induced by regular incident waves in the swell regime. Furthermore, results are given for ice shelf vibrations in response to irregular incident waves by superposing time-harmonic responses, and ocean-to-ice-shelf transfer functions are derived. The findings add to evidence that ice shelves experience appreciable flexural vibrations in response to swell, and that ice shelf thickening and seabed shoaling can have a considerable influence on predictions of how ice shelves respond to ocean waves. Michael H. Meylan, Muhammad Ilyas, Bishnu P. Lamichhane, and Luke G. Bennetts Article in Journal/Newspaper Ice Shelf Ice Shelves The University of Adelaide: Digital Library Luke ENVELOPE(-94.855,-94.855,56.296,56.296) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477 2254 |
institution |
Open Polar |
collection |
The University of Adelaide: Digital Library |
op_collection_id |
ftunivadelaidedl |
language |
English |
topic |
ice shelves hydroelasticity water waves |
spellingShingle |
ice shelves hydroelasticity water waves Meylan, M.H. Ilyas, M. Lamichhane, B.P. Bennetts, L.G. Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
topic_facet |
ice shelves hydroelasticity water waves |
description |
A solution method is developed for a linear model of ice shelf flexural vibrations in response to ocean waves, in which the ice shelf thickness and seabed beneath the ice shelf vary over distance, and the ice shelf/sub–ice-shelf cavity are connected to the open ocean. The method combines a decomposition of the ice shelf displacement profile at a prescribed frequency of motion into mode shapes of free vibrations, a finite-element method for the cavity water motion and a non-local operator to connect to the open ocean. An investigation is conducted into the effects of ice shelf thickening, seabed shoaling and the grounding-line conditions on time-harmonic ice shelf vibrations, induced by regular incident waves in the swell regime. Furthermore, results are given for ice shelf vibrations in response to irregular incident waves by superposing time-harmonic responses, and ocean-to-ice-shelf transfer functions are derived. The findings add to evidence that ice shelves experience appreciable flexural vibrations in response to swell, and that ice shelf thickening and seabed shoaling can have a considerable influence on predictions of how ice shelves respond to ocean waves. Michael H. Meylan, Muhammad Ilyas, Bishnu P. Lamichhane, and Luke G. Bennetts |
format |
Article in Journal/Newspaper |
author |
Meylan, M.H. Ilyas, M. Lamichhane, B.P. Bennetts, L.G. |
author_facet |
Meylan, M.H. Ilyas, M. Lamichhane, B.P. Bennetts, L.G. |
author_sort |
Meylan, M.H. |
title |
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
title_short |
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
title_full |
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
title_fullStr |
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
title_full_unstemmed |
Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
title_sort |
swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
publisher |
Royal Society, The |
publishDate |
2021 |
url |
https://hdl.handle.net/2440/133364 https://doi.org/10.1098/rspa.2021.0173 |
long_lat |
ENVELOPE(-94.855,-94.855,56.296,56.296) |
geographic |
Luke |
geographic_facet |
Luke |
genre |
Ice Shelf Ice Shelves |
genre_facet |
Ice Shelf Ice Shelves |
op_source |
http://dx.doi.org/10.1098/rspa.2021.0173 |
op_relation |
http://purl.org/au-research/grants/arc/FT190100404 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021; 477(2254):1-20 1364-5021 1471-2946 https://hdl.handle.net/2440/133364 doi:10.1098/rspa.2021.0173 Bennetts, L.G. [0000-0001-9386-7882] |
op_rights |
© 2021 The Author(s) Published by the Royal Society. All rights reserved. |
op_doi |
https://doi.org/10.1098/rspa.2021.0173 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
477 |
container_issue |
2254 |
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1766032176107749376 |