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    On Singularity of Rigid-Body Dynamics Using Quaternion-Based Models

    Source: Journal of Applied Mechanics:;2012:;volume( 079 ):;issue: 002::page 24502
    Author:
    Homin Choi
    ,
    Bingen Yang
    DOI: 10.1115/1.4005575
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: It is well known that use of quaternions in dynamic modeling of rigid bodies can avoid the singularity due to Euler rotations. This paper shows that the dynamic response of a rigid body modeled by quaternions may become unbounded when a torque is applied to the body. A theorem is derived, relating the singularity to the axes of the rotation and applied torque, and to the degrees of freedom of the body in rotation. To avoid such singularity, a method of equivalent couples is proposed.
    keyword(s): Torque , Rotation , Structural frames , Degrees of freedom , Damping , Theorems (Mathematics) , Dynamics (Mechanics) , Displacement , Dynamic response , Force AND Springs ,
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      On Singularity of Rigid-Body Dynamics Using Quaternion-Based Models

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    https://yetl.yabesh.ir/yetl1/handle/yetl/148137
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    contributor authorHomin Choi
    contributor authorBingen Yang
    date accessioned2017-05-09T00:48:12Z
    date available2017-05-09T00:48:12Z
    date copyrightMarch, 2012
    date issued2012
    identifier issn0021-8936
    identifier otherJAMCAV-26815#024502_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148137
    description abstractIt is well known that use of quaternions in dynamic modeling of rigid bodies can avoid the singularity due to Euler rotations. This paper shows that the dynamic response of a rigid body modeled by quaternions may become unbounded when a torque is applied to the body. A theorem is derived, relating the singularity to the axes of the rotation and applied torque, and to the degrees of freedom of the body in rotation. To avoid such singularity, a method of equivalent couples is proposed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Singularity of Rigid-Body Dynamics Using Quaternion-Based Models
    typeJournal Paper
    journal volume79
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4005575
    journal fristpage24502
    identifier eissn1528-9036
    keywordsTorque
    keywordsRotation
    keywordsStructural frames
    keywordsDegrees of freedom
    keywordsDamping
    keywordsTheorems (Mathematics)
    keywordsDynamics (Mechanics)
    keywordsDisplacement
    keywordsDynamic response
    keywordsForce AND Springs
    treeJournal of Applied Mechanics:;2012:;volume( 079 ):;issue: 002
    contenttypeFulltext
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