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    Angular Momentum of a Torque-Free Deforming Axisymmetric Gyro

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 001::page 117
    Author:
    F. P. J. Rimrott
    ,
    F. Janabi-Sharifi
    DOI: 10.1115/1.2901385
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Attitude drift and attitude stability studies of torque-free gyros involve an angular momentum that is constant in magnitude and direction. The problem is to find suitable coordinates to describe the gyro’s behavior, and then to express the (constant) angular momentum in these coordinates. Expressions for small deformation are available. In the present paper the expression, in floating coordinates, for the angular momentum of a torque-free deforming axisymmetric gyro in terms of inertia moments and angular velocity components is extended to beyond small deformations. The angular momentum expression is written first in its general form. Thqn the angular momentum is expressed in matrix form for the calculation of angular momentum components for arbitrarily large deformation. Finally, three models are presented to illustrate the application of the angular momentum expression obtained.
    keyword(s): Torque , Angular momentum , Deformation , Inertia (Mechanics) AND Stability ,
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      Angular Momentum of a Torque-Free Deforming Axisymmetric Gyro

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    http://yetl.yabesh.ir/yetl1/handle/yetl/113183
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    contributor authorF. P. J. Rimrott
    contributor authorF. Janabi-Sharifi
    date accessioned2017-05-08T23:43:29Z
    date available2017-05-08T23:43:29Z
    date copyrightMarch, 1994
    date issued1994
    identifier issn0021-8936
    identifier otherJAMCAV-26355#117_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/113183
    description abstractAttitude drift and attitude stability studies of torque-free gyros involve an angular momentum that is constant in magnitude and direction. The problem is to find suitable coordinates to describe the gyro’s behavior, and then to express the (constant) angular momentum in these coordinates. Expressions for small deformation are available. In the present paper the expression, in floating coordinates, for the angular momentum of a torque-free deforming axisymmetric gyro in terms of inertia moments and angular velocity components is extended to beyond small deformations. The angular momentum expression is written first in its general form. Thqn the angular momentum is expressed in matrix form for the calculation of angular momentum components for arbitrarily large deformation. Finally, three models are presented to illustrate the application of the angular momentum expression obtained.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAngular Momentum of a Torque-Free Deforming Axisymmetric Gyro
    typeJournal Paper
    journal volume61
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2901385
    journal fristpage117
    journal lastpage123
    identifier eissn1528-9036
    keywordsTorque
    keywordsAngular momentum
    keywordsDeformation
    keywordsInertia (Mechanics) AND Stability
    treeJournal of Applied Mechanics:;1994:;volume( 061 ):;issue: 001
    contenttypeFulltext
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