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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Online Access: | http://dx.doi.org/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2021.0173 |
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crroyalsociety:10.1098/rspa.2021.0173 2024-06-02T08:08:21+00:00 Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed Meylan, Michael H. Ilyas, Muhammad Lamichhane, Bishnu P. Bennetts, Luke G. Australian Antarctic Division Australian Research Council 2021 http://dx.doi.org/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2021.0173 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 477, issue 2254 ISSN 1364-5021 1471-2946 journal-article 2021 crroyalsociety https://doi.org/10.1098/rspa.2021.0173 2024-05-07T14:16:50Z 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. Article in Journal/Newspaper Ice Shelf Ice Shelves The Royal Society Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477 2254 |
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Open Polar |
collection |
The Royal Society |
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crroyalsociety |
language |
English |
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. |
author2 |
Australian Antarctic Division Australian Research Council |
format |
Article in Journal/Newspaper |
author |
Meylan, Michael H. Ilyas, Muhammad Lamichhane, Bishnu P. Bennetts, Luke G. |
spellingShingle |
Meylan, Michael H. Ilyas, Muhammad Lamichhane, Bishnu P. Bennetts, Luke G. Swell-induced flexural vibrations of a thickening ice shelf over a shoaling seabed |
author_facet |
Meylan, Michael H. Ilyas, Muhammad Lamichhane, Bishnu P. Bennetts, Luke G. |
author_sort |
Meylan, Michael 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 |
The Royal Society |
publishDate |
2021 |
url |
http://dx.doi.org/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0173 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2021.0173 |
genre |
Ice Shelf Ice Shelves |
genre_facet |
Ice Shelf Ice Shelves |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 477, issue 2254 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
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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1800753582235975680 |