Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth
The problem of unsteady behaviour of a floating thin plate is solved. The simultaneous motion of the plate and the fluid is considered within the framework of linear shallow-water theory. It is assumed that the bottom is not uniform in depth under the heterogeneous plate represented by an infinitely...
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Language: | English |
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Cambridge University Press (CUP)
2009
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Online Access: | http://dx.doi.org/10.1017/s0022112009990504 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112009990504 |
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crcambridgeupr:10.1017/s0022112009990504 2024-05-19T07:42:10+00:00 Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth STUROVA, IZOLDA V. 2009 http://dx.doi.org/10.1017/s0022112009990504 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112009990504 en eng Cambridge University Press (CUP) https://www.cambridge.org/core/terms Journal of Fluid Mechanics volume 637, page 305-325 ISSN 0022-1120 1469-7645 journal-article 2009 crcambridgeupr https://doi.org/10.1017/s0022112009990504 2024-05-02T06:51:19Z The problem of unsteady behaviour of a floating thin plate is solved. The simultaneous motion of the plate and the fluid is considered within the framework of linear shallow-water theory. It is assumed that the bottom is not uniform in depth under the heterogeneous plate represented by an infinitely extended strip of finite width. The elastic deflection of the plate is expressed by a superposition of modal functions of a homogeneous beam with free edge conditions. The time-dependent unknown amplitudes are determined from the solution of a linear set of ordinary differential equations with constant coefficients. The eigenvalues of this set are determined numerically. Proposed method is used for the solution of three unsteady problems: the scattering of localized surface wave by an elastic plate, decay of the initial deformation of the plate in the fluid at rest and the action of a periodic load on a plate. Numerical calculations are performed for the ice sheet with the variable thickness and various bottom topographies. Article in Journal/Newspaper Ice Sheet Cambridge University Press Journal of Fluid Mechanics 637 305 325 |
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Open Polar |
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Cambridge University Press |
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crcambridgeupr |
language |
English |
description |
The problem of unsteady behaviour of a floating thin plate is solved. The simultaneous motion of the plate and the fluid is considered within the framework of linear shallow-water theory. It is assumed that the bottom is not uniform in depth under the heterogeneous plate represented by an infinitely extended strip of finite width. The elastic deflection of the plate is expressed by a superposition of modal functions of a homogeneous beam with free edge conditions. The time-dependent unknown amplitudes are determined from the solution of a linear set of ordinary differential equations with constant coefficients. The eigenvalues of this set are determined numerically. Proposed method is used for the solution of three unsteady problems: the scattering of localized surface wave by an elastic plate, decay of the initial deformation of the plate in the fluid at rest and the action of a periodic load on a plate. Numerical calculations are performed for the ice sheet with the variable thickness and various bottom topographies. |
format |
Article in Journal/Newspaper |
author |
STUROVA, IZOLDA V. |
spellingShingle |
STUROVA, IZOLDA V. Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
author_facet |
STUROVA, IZOLDA V. |
author_sort |
STUROVA, IZOLDA V. |
title |
Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
title_short |
Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
title_full |
Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
title_fullStr |
Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
title_full_unstemmed |
Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
title_sort |
time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth |
publisher |
Cambridge University Press (CUP) |
publishDate |
2009 |
url |
http://dx.doi.org/10.1017/s0022112009990504 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112009990504 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Journal of Fluid Mechanics volume 637, page 305-325 ISSN 0022-1120 1469-7645 |
op_rights |
https://www.cambridge.org/core/terms |
op_doi |
https://doi.org/10.1017/s0022112009990504 |
container_title |
Journal of Fluid Mechanics |
container_volume |
637 |
container_start_page |
305 |
op_container_end_page |
325 |
_version_ |
1799481818054918144 |