2009
DOI: 10.1007/s10778-009-0211-x
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Stability of a rigid body translating in a resisting medium

Abstract: The paper discusses a nonlinear model that describes the interaction of a rigid body with a medium and takes into account (based on experimental data on the motion of circular cylinders in water) the dependence of the arm of the force on the normalized angular velocity of the body and the dependence of the moment of the force on the angle of attack. An analysis of plane and spatial models (in the presence or absence of an additional follower force) leads to sufficient stability conditions for translational mot… Show more

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Cited by 3 publications
(4 citation statements)
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“…If the environment does not undergo displacements that are independent of the motion of the effectors, then its mathematical model is described by the following nonlinear vector equation [9]:…”
Section: Introductionmentioning
confidence: 99%
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“…If the environment does not undergo displacements that are independent of the motion of the effectors, then its mathematical model is described by the following nonlinear vector equation [9]:…”
Section: Introductionmentioning
confidence: 99%
“…The behavior of a continuum is known to be described by partial differential equations [7,9]. These equations are individualized depending on what is meant by "continuum" (a shell, a plate, etc.).…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations