2015
DOI: 10.1007/s10958-015-2615-y
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Small Motions and Normal Oscillations in Systems of Connected Gyrostats

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Cited by 3 publications
(5 citation statements)
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“…In Part 2, the same scheme is used to investigate small motions and normal oscillations of the system for the case where the fluids on the cavities of the pendulums are viscous (see Secs. [6][7][8][9]. For this case, we prove the well-posedness theorem, investigate the spectrum of normal oscillations (the Krein pencil), and inverse the Lagrange stability theorem.…”
Section: On the Content Of The Present Papermentioning
confidence: 99%
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“…In Part 2, the same scheme is used to investigate small motions and normal oscillations of the system for the case where the fluids on the cavities of the pendulums are viscous (see Secs. [6][7][8][9]. For this case, we prove the well-posedness theorem, investigate the spectrum of normal oscillations (the Krein pencil), and inverse the Lagrange stability theorem.…”
Section: On the Content Of The Present Papermentioning
confidence: 99%
“…Further, Kononov investigated motions of a body (a system of connected rigid bodies) with cavities containing a fluid (1997)(1998)(1999)(2000)(2001)(2002)(2003)(2004)(2005)(2006). Finally, in [4][5][6][7][8], the problem of small motions is studied for a system of rigid bodies (gyrostats) connected by spherical hinges and containing cavities filled by an ideal or viscous fluid.…”
mentioning
confidence: 99%
“…Батыра (см. [19], [20]), где изучались проблема малых движений сочленённых гиростатов с полостями, содержащими идеальную или вязкую жидкость.…”
Section: Introductionunclassified
“…Малые движения маятников описываются уравнениями изменения кинетических моментов системы тел относительно точек подвеса маятников O k (k = 1, 2, 3). Эти уравнения обладают следующими свойствами (см., например, [20], с. 10, 76-83): левые и правые части последующего уравнения (при переходе от уравнения относительно O 1 к уравнению относительно O 2 , а также для соответствующих уравнений относительно O 2 и O 3 ) целиком входят в левые и правые части предыдущего уравнения.…”
Section: Introductionunclassified
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