Страница публикации

On some results of investigation of Kirchhoff equations in case of a rigid body motion in fluid

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Irtegov V., Titorenko T.

Журнал: Lecture Notes in Computer Science

Язык публикации: russian

Том: 3718

Номера страниц: 259-271

Количество страниц: 13

Год публикации: 2005

Отчетный год: 2005

Аннотация: Some results of analysis of Kirchhoff equations, which describe the motion of a rigid body in the ideal incompressible fluid, are presented. With respect to these equations, a problem is stated to obtain steady-state motions, invariant manifolds of steady-state motions (IMSMs), and to investigate their properties in the aspect of stability and stabilization of motion. Our methods of investigation are based on classical results obtained by Lyapunov [1]. The computer algebra systems (CAS) "Mathematica", "Maple", and a software [2] are used as the tools. Lyapunov's sufficient stability conditions are derived for some steady-state motions obtained. A problem of optimal stabilization with respect to the first approximation equations is solved for some cases of unstable motion. This paper represents a continuation of our research, the results of which have been reported during CASC'2004 in St. Petersburg [3].

Индексируется WOS: Q4

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет