On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

Autor:	Borisov A.V., Tsiganov A.V.
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	rheonomic lagrangian systems nonholonomic mechanics integrabilityby quadratures Mechanics of engineering. Applied mechanics TA349-359
Zdroj:	Theoretical and Applied Mechanics, Vol 47, Iss 2, Pp 155-168 (2020)
Druh dokumentu:	article
ISSN:	1450-5584 2406-0925
DOI:	10.2298/TAM200120009B
Popis:	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 Bilimovich system, equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0f71c805ec5840caaa9d81dcf822adb9 Zobrazit plný text záznamu View record in DOAJ