Green's Function for Forcing of a Thin Floating Plate

The Green's function for harmonic downward forcing of an infinite thin floating plate is derived. The Green's function models the response of a uniform sheet of fast ice when locally loaded at rates at which the ice may be taken to be elastic. A closed-form expression is given for the pote...

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Bibliographic Details
Main Authors: Fox, Colin, Chung, Hyuck
Format: Report
Language:unknown
Published: Department of Mathematics, The University of Auckland, New Zealand 1999
Subjects:
Fields of Research::230000 Mathematical Sciences::230100 Mathematics
Ice Sheet
Online Access:http://hdl.handle.net/2292/5023
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spelling ftunivauckland:oai:researchspace.auckland.ac.nz:2292/5023 2023-05-15T16:40:10+02:00 Green's Function for Forcing of a Thin Floating Plate Fox, Colin Chung, Hyuck 1999-03 http://hdl.handle.net/2292/5023 unknown Department of Mathematics, The University of Auckland, New Zealand Research Reports - Department of Mathematics https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm The author(s) http://www.math.auckland.ac.nz/Research/Reports/view.php?id=408 Fields of Research::230000 Mathematical Sciences::230100 Mathematics Technical Report 1999 ftunivauckland 2013-12-07T08:42:38Z The Green's function for harmonic downward forcing of an infinite thin floating plate is derived. The Green's function models the response of a uniform sheet of fast ice when locally loaded at rates at which the ice may be taken to be elastic. A closed-form expression is given for the potential throughout the water and detailed expressions are given for the vertical displacement of the ice sheet. The displacement is graphed for various typical thickness of the ice sheet and for a range of frequencies of forcing. Report Ice Sheet University of Auckland Research Repository - ResearchSpace
institution Open Polar
collection University of Auckland Research Repository - ResearchSpace
op_collection_id ftunivauckland
language unknown
topic Fields of Research::230000 Mathematical Sciences::230100 Mathematics
spellingShingle Fields of Research::230000 Mathematical Sciences::230100 Mathematics
Fox, Colin
Chung, Hyuck
Green's Function for Forcing of a Thin Floating Plate
topic_facet Fields of Research::230000 Mathematical Sciences::230100 Mathematics
description The Green's function for harmonic downward forcing of an infinite thin floating plate is derived. The Green's function models the response of a uniform sheet of fast ice when locally loaded at rates at which the ice may be taken to be elastic. A closed-form expression is given for the potential throughout the water and detailed expressions are given for the vertical displacement of the ice sheet. The displacement is graphed for various typical thickness of the ice sheet and for a range of frequencies of forcing.
format Report
author Fox, Colin
Chung, Hyuck
author_facet Fox, Colin
Chung, Hyuck
author_sort Fox, Colin
title Green's Function for Forcing of a Thin Floating Plate
title_short Green's Function for Forcing of a Thin Floating Plate
title_full Green's Function for Forcing of a Thin Floating Plate
title_fullStr Green's Function for Forcing of a Thin Floating Plate
title_full_unstemmed Green's Function for Forcing of a Thin Floating Plate
title_sort green's function for forcing of a thin floating plate
publisher Department of Mathematics, The University of Auckland, New Zealand
publishDate 1999
url http://hdl.handle.net/2292/5023
genre Ice Sheet
genre_facet Ice Sheet
op_source http://www.math.auckland.ac.nz/Research/Reports/view.php?id=408
op_relation Research Reports - Department of Mathematics
op_rights https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm
The author(s)
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