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Mechanics of floating bodies
We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard equilibrium theory, starting with Archimedes, allows bodies with vertices and edges, we assume the bodies to b...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8564614/ https://www.ncbi.nlm.nih.gov/pubmed/35153600 http://dx.doi.org/10.1098/rspa.2021.0595 |
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author | Beig, Robert Schmidt, Bernd G. |
author_facet | Beig, Robert Schmidt, Bernd G. |
author_sort | Beig, Robert |
collection | PubMed |
description | We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard equilibrium theory, starting with Archimedes, allows bodies with vertices and edges, we assume the bodies to be convex and take care not to assume more regularity than that implied by convexity. One main result is the (Lyapunov) stability of equilibria satisfying a condition equivalent to the standard ‘metacentric’ criterion. |
format | Online Article Text |
id | pubmed-8564614 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-85646142022-02-11 Mechanics of floating bodies Beig, Robert Schmidt, Bernd G. Proc Math Phys Eng Sci Research Articles We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard equilibrium theory, starting with Archimedes, allows bodies with vertices and edges, we assume the bodies to be convex and take care not to assume more regularity than that implied by convexity. One main result is the (Lyapunov) stability of equilibria satisfying a condition equivalent to the standard ‘metacentric’ criterion. The Royal Society 2021-11 2021-11-03 /pmc/articles/PMC8564614/ /pubmed/35153600 http://dx.doi.org/10.1098/rspa.2021.0595 Text en © 2021 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Research Articles Beig, Robert Schmidt, Bernd G. Mechanics of floating bodies |
title | Mechanics of floating bodies |
title_full | Mechanics of floating bodies |
title_fullStr | Mechanics of floating bodies |
title_full_unstemmed | Mechanics of floating bodies |
title_short | Mechanics of floating bodies |
title_sort | mechanics of floating bodies |
topic | Research Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8564614/ https://www.ncbi.nlm.nih.gov/pubmed/35153600 http://dx.doi.org/10.1098/rspa.2021.0595 |
work_keys_str_mv | AT beigrobert mechanicsoffloatingbodies AT schmidtberndg mechanicsoffloatingbodies |