Two-dimensional response of a floating ice plate to a line load moving at variable speed
We significantly extend the results of Miles & Sneyd ( J. Fluid Mech. , vol. 497, 2003, pp. 435–439) for an accelerating line load on a floating ice plate in their simple linear mathematical model by proceeding to numerical calculations for the response due to a decelerating load. Our results sh...
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Online Access: | http://dx.doi.org/10.1017/jfm.2022.109 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022001094 |
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crcambridgeupr:10.1017/jfm.2022.109 2024-03-03T08:42:15+00:00 Two-dimensional response of a floating ice plate to a line load moving at variable speed Hosking, Roger J. Milinazzo, Fausto 2022 http://dx.doi.org/10.1017/jfm.2022.109 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022001094 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 938 ISSN 0022-1120 1469-7645 Mechanical Engineering Mechanics of Materials Condensed Matter Physics journal-article 2022 crcambridgeupr https://doi.org/10.1017/jfm.2022.109 2024-02-08T08:31:30Z We significantly extend the results of Miles & Sneyd ( J. Fluid Mech. , vol. 497, 2003, pp. 435–439) for an accelerating line load on a floating ice plate in their simple linear mathematical model by proceeding to numerical calculations for the response due to a decelerating load. Our results show: (i) how the deflections produced by an impulsively started steadily moving line load begin to develop and eventually approach the well-known steady load-speed-dependent quasi-static and wave-like forms, including above the shallow water gravity wave speed where the shadow zone evolves; (ii) the singularity in the deflection predicted in the simple linear model when the load moves steadily is indeed avoided by a uniformly accelerating load, where the magnitude of the deflection continually increases and its maximum lags a little further behind as the load moves through the critical speed and beyond; (iii) there is also no singularity in the deflection due to a uniformly decelerating load, but whereas the response from a subcritical starting speed is preserved and travels with the load, the magnitude of the deflection may become quite large near a load starting from supercritical speed and approaching rest, which is attributed to constructive interference (reinforcement) as erstwhile trailing, predominantly gravity, waves catch up with the load. While this reinforcement poses no risk to Hercules transport aircraft landing on the thick sea ice at McMurdo Sound, it can account for the reported rapid sinking of the detached cockpit shortly after it came to rest in the 1974 Lockheed Electra aircraft crash in the Canadian Arctic. Article in Journal/Newspaper Arctic McMurdo Sound Sea ice Cambridge University Press Arctic McMurdo Sound Hercules ENVELOPE(161.450,161.450,-77.483,-77.483) Journal of Fluid Mechanics 938 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
spellingShingle |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics Hosking, Roger J. Milinazzo, Fausto Two-dimensional response of a floating ice plate to a line load moving at variable speed |
topic_facet |
Mechanical Engineering Mechanics of Materials Condensed Matter Physics |
description |
We significantly extend the results of Miles & Sneyd ( J. Fluid Mech. , vol. 497, 2003, pp. 435–439) for an accelerating line load on a floating ice plate in their simple linear mathematical model by proceeding to numerical calculations for the response due to a decelerating load. Our results show: (i) how the deflections produced by an impulsively started steadily moving line load begin to develop and eventually approach the well-known steady load-speed-dependent quasi-static and wave-like forms, including above the shallow water gravity wave speed where the shadow zone evolves; (ii) the singularity in the deflection predicted in the simple linear model when the load moves steadily is indeed avoided by a uniformly accelerating load, where the magnitude of the deflection continually increases and its maximum lags a little further behind as the load moves through the critical speed and beyond; (iii) there is also no singularity in the deflection due to a uniformly decelerating load, but whereas the response from a subcritical starting speed is preserved and travels with the load, the magnitude of the deflection may become quite large near a load starting from supercritical speed and approaching rest, which is attributed to constructive interference (reinforcement) as erstwhile trailing, predominantly gravity, waves catch up with the load. While this reinforcement poses no risk to Hercules transport aircraft landing on the thick sea ice at McMurdo Sound, it can account for the reported rapid sinking of the detached cockpit shortly after it came to rest in the 1974 Lockheed Electra aircraft crash in the Canadian Arctic. |
format |
Article in Journal/Newspaper |
author |
Hosking, Roger J. Milinazzo, Fausto |
author_facet |
Hosking, Roger J. Milinazzo, Fausto |
author_sort |
Hosking, Roger J. |
title |
Two-dimensional response of a floating ice plate to a line load moving at variable speed |
title_short |
Two-dimensional response of a floating ice plate to a line load moving at variable speed |
title_full |
Two-dimensional response of a floating ice plate to a line load moving at variable speed |
title_fullStr |
Two-dimensional response of a floating ice plate to a line load moving at variable speed |
title_full_unstemmed |
Two-dimensional response of a floating ice plate to a line load moving at variable speed |
title_sort |
two-dimensional response of a floating ice plate to a line load moving at variable speed |
publisher |
Cambridge University Press (CUP) |
publishDate |
2022 |
url |
http://dx.doi.org/10.1017/jfm.2022.109 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112022001094 |
long_lat |
ENVELOPE(161.450,161.450,-77.483,-77.483) |
geographic |
Arctic McMurdo Sound Hercules |
geographic_facet |
Arctic McMurdo Sound Hercules |
genre |
Arctic McMurdo Sound Sea ice |
genre_facet |
Arctic McMurdo Sound Sea ice |
op_source |
Journal of Fluid Mechanics volume 938 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/jfm.2022.109 |
container_title |
Journal of Fluid Mechanics |
container_volume |
938 |
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1792497688350031872 |