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A New Approach to the Solution of some Problems of Rigid Body Dynamics
Author(s) -
Ivanova E.A.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200109)81:9<613::aid-zamm613>3.0.co;2-5
Subject(s) - rigid body , rigid body dynamics , rotation (mathematics) , action (physics) , moment (physics) , symmetry (geometry) , classical mechanics , angular momentum , rotation around a fixed axis , motion (physics) , dynamics (music) , mathematics , axis of symmetry , physics , tensor (intrinsic definition) , representation (politics) , mathematical analysis , geometry , acoustics , quantum mechanics , politics , political science , law
A representation of the turn‐tensor of an axisymmetrical rigid body by using the moment of momentum vector is proposed. It is proved that for certain external moments the motion of an axisymmetrical rigid body differs from the motion of the spherical rigid body only by the additional rotation around its axis of symmetry. Analogy between the problems of the rotation of an axisymmetrical rigid body under the action of the moment, directed along the axis of symmetry of the body and under the action of the constantly directed moment, is exposed. Exact solution of the problem of free rotation of an axisymmetrical rigid body, taking account of a linear viscous friction, is constructed.