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Some Methods of Analysis of the Dynamic Systems with the Various Dissipation in Dynamics of a Rigid Body
Author(s) -
Shamolin Maxim V.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810137
Subject(s) - conservative vector field , motion (physics) , rigid body , dynamics (music) , rest (music) , dissipation , ideal (ethics) , classical mechanics , infinity , connection (principal bundle) , mathematics , compressibility , mathematical analysis , computer science , physics , mechanics , geometry , philosophy , epistemology , acoustics , thermodynamics
In is well–known due to its complexity, the problem of the motion of a rigid body in an unbounded medium requires the introduction of certain simplifying restrictions. The main aim in this connection is to introduce hypotheses that would make it possible to study the motion of the rigid body separately from the motion of the medium in which the body is embedded. On the one hand, a similar approach was realized in the classical Kirchhoff problem on the motion of a body in an unbounded ideal incompressible fluid that undergoes an irrotational motion and is at rest at infinity. On the other hand, it is obvious that the above–mentioned Kirchhoff problem does not exhaust the possibilities of this kind of simulation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)