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http://hdl.handle.net/11701/9508
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Soltakhanov, Shervani Kh. | - |
dc.contributor.author | Shugaylo, Timofei S. | - |
dc.contributor.author | Yushkov, Mikhail P. | - |
dc.date.accessioned | 2018-04-26T09:45:12Z | - |
dc.date.available | 2018-04-26T09:45:12Z | - |
dc.date.issued | 2018-03 | - |
dc.identifier.citation | Soltakhanov Sh.Kh., Shugaylo T. S., Yushkov M.P. On vector form of differential variational principles of mechanics. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 1, pp. 147–153. | en_GB |
dc.identifier.other | 10.21638/11701/spbu01.2018.116 | - |
dc.identifier.uri | http://hdl.handle.net/11701/9508 | - |
dc.description.abstract | The paper introduces the variation of a vector x, which can be interpreteed either as a virtual displacement of a system, the variation of the velocity of a system or the variation of the acceleration of a system. This vector is used to put forward, from scalar representative motion equations, a uniform notation of all differential variational principles of mechanics. Conversely, this notation involves all original motion equations, which enables one to consider the previously obtained scalar products as principles of mechanics. The same approach leads us to a differential principle on the basis of the vector equation of constrained motion of a mechanical system. In this form, it is proposed to retain the nonzero scalar product of ideal constraints by the vector x. This enables one from this notation to derive equations involving generalized constrained forces. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 1 | - |
dc.subject | nonholonomic mechanics | en_GB |
dc.subject | linear nonholonomic second-order constraints | en_GB |
dc.subject | the Lagrange second-order equations with multipliers | en_GB |
dc.subject | the Maggi equations | en_GB |
dc.subject | the generalized Lagrange second-order equations with multipliers | en_GB |
dc.subject | the generalized Maggi equations | en_GB |
dc.title | On vector form of differential variational principles of mechanics | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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Файл | Описание | Размер | Формат | |
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16-Soltakhanov.pdf | 286,43 kB | Adobe PDF | Просмотреть/Открыть |
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