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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich
A. V. Borisov, A. V. Tsiganov Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Аннотация:
In 1913 A. D. Bilimovich observed that rheonomic constraints which are linear and homogeneous in generalized velocities are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations whose scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovithch system, equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.
Ключевые слова:
rheonomic Lagrangian systems, nonholonomic mechanics, integrability by quadratures.
Поступила в редакцию: 20.01.2020 Исправленный вариант: 25.06.2020
Образец цитирования:
A. V. Borisov, A. V. Tsiganov, “On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich”, Theor. Appl. Mech., 47:2 (2020), 155–168
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam83 https://www.mathnet.ru/rus/tam/v47/i2/p155
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Страница аннотации: | 142 | PDF полного текста: | 39 | Список литературы: | 30 |
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