Complex resonant ice shelf vibrations

Title: Complex resonant ice shelf vibrations
Creator: Bennetts, L. G.; Meylan, M. H.
Relation: ARC.DP200102828 http://purl.org/au-research/grants/arc/DP200102828
Relation: SIAM Journal on Applied Mathematics Vol. 81, Issue 4, p. 1483-1502
Publisher Link: http://dx.doi.org/10.1137/20M1385172
Resource Type: journal article
Date: 2021
Description: The problem of ice shelf vibrations forced by incident waves from the open ocean is considered, using a linear hydroelastic model involving combined thin-plate and potential-flow theories. Complex resonances are shown to generate near-resonant ice shelf responses. An efficient algorithm is developed to capture the complex resonances, based on a homotopy, and initialized with the real-valued eigenfrequencies of a problem in which the ice shelf and subshelf water cavity are uncoupled from the open ocean. It is shown the complex resonances may be used to approximate the reflection coefficient in the frequency domain and the large-time ice shelf response to an incident wave packet. Shelf thickening is shown to have a major effect on complex resonances at midrange frequencies, resulting in difficulty exciting certain near resonances in transient problems.
Subject: hydroelasticity; complex resonances; homotopy
Identifier: http://hdl.handle.net/1959.13/1435845
Identifier: uon:39839
Identifier: ISSN:0036-1399
Language: eng
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