Limiting stationary modes of a rigid body on a string suspension

Mirer, S. A.; Odintsova, S. A.; Сарычев, В. А.

doi:10.1016/0021-8928(89)90129-9

Cited by 1 publication

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“…The answer to this question depends not only on the signs of the corrections a 2 and y 2 but also on the correlation between their values in the case when these corrections are of the same sign, because now the ®rst non-zero corrections to the angles a 0 and y 0 are the quantities of the same order. It follows from equations (8) and (10) that for solution (b) the coef®cients a 2 and y 2 are simulta neously negative in the domain…”

Section: Permanent Rotationsmentioning

confidence: 99%

“…Such a situation takes place in the case when the body is attached to the rod at a point displaced from its central principal axis [8].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In some cases precisely speci®c properties of these stationary motions simp lify the dynamics analysis of the tested object. In particular, so-called limiting motion s, the motions at very high angular velocities [8], are of great interest. The present work is devoted to a careful analysis of all limitin g stationary rotations of an axisymmetric rigid body on a string suspension.…”

Section: Introductionmentioning

confidence: 99%

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Limiting stationary motions of a body on a string

Mirer

Сарычев

2002

Proceedings of the Institution of Mechanical Engineers, Part G:

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A string suspension is suggested as an experimental arrangement for examining new samples of air¯ight and space¯ight vehicles or their components. The dynamics of a rigid body on a string suspension is considered. Stationary motions of an axisymmetric body on a string are studied at high angular velocities of the system rotation. In the case where the suspension point is on the axis of symmetry, all limitin g permanent rotations and regular precessions are determined, the domains of their existence are obtained and also the system's equilibria evolution when its parameters are changed is examined. In the case of the displaced suspension point the exact upper bound of the number of possible permanent rotations of the system is given and all types of limitin g equilibrium con®gurations are determined as well as the domains of their existence. The domain in the space of dimensionless parameters of the system is found where the maximal number of different permanent rotations exist at suf®ciently high angular velocity.

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Section: Permanent Rotationsmentioning

confidence: 99%

“…Such a situation takes place in the case when the body is attached to the rod at a point displaced from its central principal axis [8].…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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