On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints
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| Creator |
Kovalchuk, V.
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| 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.
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| Date |
2019-02-09T08:54:17Z
2019-02-09T08:54:17Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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