Time Domain Vibration Analysis of an Ice Shelf
A method is presented to calculate the vibrations of an ice shelf floating in shallow water under different boundary conditions. One condition is that there is no flux, which reduces all calculations and the other is that there is no pressure at the seaward end of the ice shelf. The effect of these...
Main Authors: | , |
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Format: | Article |
Language: | English |
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MDPI AG
2024-03-01
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Series: | Journal of Marine Science and Engineering |
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Online Access: | https://www.mdpi.com/2077-1312/12/3/468 |
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author | Rehab Aljabri Michael H. Meylan |
author_facet | Rehab Aljabri Michael H. Meylan |
author_sort | Rehab Aljabri |
collection | DOAJ |
description | A method is presented to calculate the vibrations of an ice shelf floating in shallow water under different boundary conditions. One condition is that there is no flux, which reduces all calculations and the other is that there is no pressure at the seaward end of the ice shelf. The effect of these boundary conditions is investigated in detail, and the modes of vibration are also determined. Motion simulations of the system are presented for the potential velocity of the water and the vertical displacement of the ice shelf. These are found through a numerical method, which reduces all calculations to matrix multiplication. The underlying motion is shown to be very complex and difficult to interpret from single-point response measurements. The motion of more realistic ice shelves can be expected to be even more complicated. |
first_indexed | 2024-04-24T18:07:37Z |
format | Article |
id | doaj.art-fdaf49cba83f4f7dbda98fe4fa6d537e |
institution | Directory Open Access Journal |
issn | 2077-1312 |
language | English |
last_indexed | 2024-04-24T18:07:37Z |
publishDate | 2024-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Journal of Marine Science and Engineering |
spelling | doaj.art-fdaf49cba83f4f7dbda98fe4fa6d537e2024-03-27T13:49:21ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-03-0112346810.3390/jmse12030468Time Domain Vibration Analysis of an Ice ShelfRehab Aljabri0Michael H. Meylan1School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, AustraliaSchool of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, AustraliaA method is presented to calculate the vibrations of an ice shelf floating in shallow water under different boundary conditions. One condition is that there is no flux, which reduces all calculations and the other is that there is no pressure at the seaward end of the ice shelf. The effect of these boundary conditions is investigated in detail, and the modes of vibration are also determined. Motion simulations of the system are presented for the potential velocity of the water and the vertical displacement of the ice shelf. These are found through a numerical method, which reduces all calculations to matrix multiplication. The underlying motion is shown to be very complex and difficult to interpret from single-point response measurements. The motion of more realistic ice shelves can be expected to be even more complicated.https://www.mdpi.com/2077-1312/12/3/468ice shelf vibrationshallow watermode shapeslinear beam theory |
spellingShingle | Rehab Aljabri Michael H. Meylan Time Domain Vibration Analysis of an Ice Shelf Journal of Marine Science and Engineering ice shelf vibration shallow water mode shapes linear beam theory |
title | Time Domain Vibration Analysis of an Ice Shelf |
title_full | Time Domain Vibration Analysis of an Ice Shelf |
title_fullStr | Time Domain Vibration Analysis of an Ice Shelf |
title_full_unstemmed | Time Domain Vibration Analysis of an Ice Shelf |
title_short | Time Domain Vibration Analysis of an Ice Shelf |
title_sort | time domain vibration analysis of an ice shelf |
topic | ice shelf vibration shallow water mode shapes linear beam theory |
url | https://www.mdpi.com/2077-1312/12/3/468 |
work_keys_str_mv | AT rehabaljabri timedomainvibrationanalysisofaniceshelf AT michaelhmeylan timedomainvibrationanalysisofaniceshelf |