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...

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Main Authors: Rehab Aljabri, Michael H. Meylan
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Journal of Marine Science and Engineering
Subjects:
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.
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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