A new class of nonstationary motions of a system of heavy Lagrange tops with a non-planar configuration of the system's skeleton
For a chain consisting of n heavy Lagrange tops coupled by ideal spherical joints, the existence of a class of nonstationary motions with a non-planar configuration of the chain’s skeleton is proved. Sufficient conditions for existence of these motions are established, and the equations of motion of...
Збережено в:
| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Механика твердого тела |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/71598 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A new class of nonstationary motions of a system of heavy Lagrange tops with a non-planar configuration of the system's skeleton / D.A. Chebanov // Механика твердого тела: Межвед. сб. науч. тр. — 2011. — Вип 41. — С. 244-254. — Бібліогр.: 4 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | For a chain consisting of n heavy Lagrange tops coupled by ideal spherical joints, the existence of a class of nonstationary motions with a non-planar configuration of the chain’s skeleton is proved. Sufficient conditions for existence of these motions are established, and the equations of motion of the chain are reduced to quadratures. Under the assumption that the mass distribution of the bodies forming the chain is given, it is shown how they have to be coupled so that the motions of interest could be realized. Some properties of the new motions are discussed. |
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