Stability investigation of the steady motions of an isolated system, carrying out plane motion

Pirogov, Vladimir

doi:10.15587/1729-4061.2015.49269

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…To increase the accuracy and efficiency of passive stabilization systems used on rotating spacecrafts, it was suggested in [13][14][15][16][17][18] to use passive classical (pendulum, spherical) and non-classical (in the form of absolutely rigid bodies, in some way fixed in place of longitudinal axis of the spacecraft) automatic balancers.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the Stability of the Steady Motions of a Rotational Mechanical System

Pirogov

2017

Technology transfer: fundamental principles and innovative tech

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The conditional stability of steady motions of a mechanical isolated system consisting of a rotating carrier body, a material point creating its static imbalance, and a passive automatic balancer consisting of two identical mathematical pendulums are investigated. The pendulums are mounted on the longitudinal axis of the supporting body and move in the plane of static imbalance. The relative motion of the pendulums is impeded by viscous drag forces. It is established that in the case when the imbalance is and the pendulums can eliminate it with a certain margin, there is one basic movement; in the absence of imbalance, there is a one–parameter family of basic movements; in the case of maximum unbalance, which pendulums can eliminate, there is one basic movement, but it generates a pseudo–family of basic motions. It is also established that conditionally asymptotically stable are separate basic motions, if they are isolated, or a family, or pseudo–families of basic motions. For pendulum, ball and liquid automatic balancers, an approximate law is obtained for the variation of large nutation angles in the case of an axisymmetric and non–axisymmetric supporting body. It is established that the rate of change of the nutation angle is significantly affected by the ratio between the axial moments of inertia of the rotating carrier and the coefficient of viscous drag. An empirical formula is proposed for estimating the residual nutation angle, which occurs when the passive automatic balancers (nutation dampers) are incorrectly installed on the spacecraft and stabilized by rotation, and an example of its application for a particular satellite is given. It is shown that incorrect installation of the auto balance on the supporting body can lead to the formation of a residual nutation angle even in the case of a "stable" supporting body. The obtained results can be used in the design of passive automatic balancers (nutation damping) (pendulum, ball and liquid) for spacecrafts stabilized by rotation

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Section: Introductionmentioning

confidence: 99%

Investigation of the Stability of the Steady Motions of a Rotational Mechanical System

Pirogov

2017

Technology transfer: fundamental principles and innovative tech

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Investigation of the process of the stabilization of the rigid body carrier of the rotational axis of the pendulum autobalancer

Pirogov¹

2016

EEJET

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Stability investigation of the steady motions of an isolated system, carrying out plane motion

Cited by 2 publications

References 7 publications

Investigation of the Stability of the Steady Motions of a Rotational Mechanical System

Investigation of the Stability of the Steady Motions of a Rotational Mechanical System

Investigation of the process of the stabilization of the rigid body carrier of the rotational axis of the pendulum autobalancer

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