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    Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 009::page 091003-1
    Author:
    Han, Shilei
    ,
    Bauchau, Olivier A.
    DOI: 10.1115/1.4046736
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A novel time-discontinuous Galerkin (DG) method is introduced for the time integration of the differential-algebraic equations governing the dynamic response of flexible multibody systems. In contrast to traditional Galerkin methods, the rigid-body motion field is interpolated using the dual spherical linear scheme. Furthermore, the jumps inherent to time-DG methods are expressed in terms of a parameterization of the relative motion from one time-step to the next. The proposed scheme is third-order accurate for initial value problems of both rigid and flexible multibody dynamics.
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      Discontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics

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    contributor authorHan, Shilei
    contributor authorBauchau, Olivier A.
    date accessioned2022-02-04T22:18:03Z
    date available2022-02-04T22:18:03Z
    date copyright7/16/2020 12:00:00 AM
    date issued2020
    identifier issn1555-1415
    identifier othercnd_015_09_091003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4275295
    description abstractA novel time-discontinuous Galerkin (DG) method is introduced for the time integration of the differential-algebraic equations governing the dynamic response of flexible multibody systems. In contrast to traditional Galerkin methods, the rigid-body motion field is interpolated using the dual spherical linear scheme. Furthermore, the jumps inherent to time-DG methods are expressed in terms of a parameterization of the relative motion from one time-step to the next. The proposed scheme is third-order accurate for initial value problems of both rigid and flexible multibody dynamics.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDiscontinuous Galerkin Method and Dual-SLERP for Time Integration of Flexible Multibody Dynamics
    typeJournal Paper
    journal volume15
    journal issue9
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4046736
    journal fristpage091003-1
    journal lastpage091003-9
    page9
    treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 009
    contenttypeFulltext
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