Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2008-1pp.22-25

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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E. Atchonouglo, C. Vallée, T. Monnet, and D. Fortuné, "Identification of the ten inertia parameters of a rigid body," J. Appl. Math. Mech. 72 (1), 22-25 (2008)
Year 2008 Volume 72 Issue 1 Pages 22-25
Title Identification of the ten inertia parameters of a rigid body
Author(s) E. Atchonouglo (Poitiers, France)
C. Vallée (Poitiers, France, valle@lms.univ-poitiers.fr)
T. Monnet (Poitiers, France)
D. Fortuné (Poitiers, France)
Abstract A special antisymmetric 4×4 matrix form of the equation of motion of a rigid body is proposed. This form depends linearly on the symmetric (4×4)-matrix of the Fayet global inertia tensor, containing the ten inertia parameters of a rigid body (the mass, the three coordinates of the centre of mass and the six components of the classical inertia tensor). For identifying the global inertia tensor, an algorithm is proposed which is based on the method of least squares and the method of conjugate gradients and tested using the example of a rigid body, the motion of which is obtained by computer modelling.
Received 10 October 2006
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