The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity (Q2847445)

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scientific article; zbMATH DE number 6207156
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The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity
scientific article; zbMATH DE number 6207156

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    9 September 2013
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    free motion of a rigid body
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    problems with friction
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    The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity (English)
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    Dynomics of the rigid body moving in a resisting medium desribed by a nonlinear mathematical model of plane-parallele and three-dimensional interactions between the rigid body and the medium is analyzed. Homogeneous circle cylinders are choosen as rigid bodies for previous numerical experiments. New cases of the complete integrability in elementary functions of the system under investigation are recognized. It is found that there is a qualitative analogy in an oscillation behavior of the free rigid bodies in the medium and the partway tied rigid bodies under action of an oncoming flow.
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