On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints
In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane of the body it simultaneously performs one-dimensional oscillations orthogonal t...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146341 |
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| Цитувати: | On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints / V. Kovalchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146341 |
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dspace |
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irk-123456789-1463412019-02-10T01:23:18Z On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints Kovalchuk, V. In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane of the body it simultaneously performs one-dimensional oscillations orthogonal to this central plane. For the polar decomposition we obtain the stationary ellipsoids as special solutions of the general, strongly nonlinear equations of motion. It is also shown that these solutions are conceptually different from those obtained earlier for the two-polar (singular value) decomposition. 2010 Article On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints / V. Kovalchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37N15; 70E15; 70H33; 74A99 DOI:10.3842/SIGMA.2010.031 http://dspace.nbuv.gov.ua/handle/123456789/146341 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneously in the two-dimensional central plane of the body it simultaneously performs one-dimensional oscillations orthogonal to this central plane. For the polar decomposition we obtain the stationary ellipsoids as special solutions of the general, strongly nonlinear equations of motion. It is also shown that these solutions are conceptually different from those obtained earlier for the two-polar (singular value) decomposition. |
| format |
Article |
| author |
Kovalchuk, V. |
| spellingShingle |
Kovalchuk, V. On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kovalchuk, V. |
| author_sort |
Kovalchuk, V. |
| title |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints |
| title_short |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints |
| title_full |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints |
| title_fullStr |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints |
| title_full_unstemmed |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints |
| title_sort |
on classical dynamics of affinely-rigid bodies subject to the kirchhoff-love constraints |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146341 |
| citation_txt |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints / V. Kovalchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT kovalchukv onclassicaldynamicsofaffinelyrigidbodiessubjecttothekirchhoffloveconstraints |
| first_indexed |
2023-05-20T17:24:06Z |
| last_indexed |
2023-05-20T17:24:06Z |
| _version_ |
1796153215672123392 |