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    On the Modeling, and Open-Loop Control of a Rotating Thin Flexible Beam

    Source: Journal of Dynamic Systems, Measurement, and Control:;1991:;volume( 113 ):;issue: 001::page 26
    Author:
    S. Choura
    ,
    M. A. Medick
    ,
    S. Jayasuriya
    DOI: 10.1115/1.2896354
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A set of governing differential equations is derived for the inplane motion of a rotating thin flexible beam. The beam is assumed to be linearly elastic and is connected to a rigid hub driven by a torque motor. Both flexural and extensional effects are included in the derivation. This coupling due to flexure and extension is usually neglected in studies dealing with the control of such a system. Models for typical control studies are often derived by utilizing an assumed mode approach where the mode shapes are obtained by solving the Euler-Bernoulli beam equation for flexural vibrations, with clamped-free or pinned-free boundary conditions. The coupled equations developed in this paper are used to demonstrate that typical models in control studies give satisfactory results up to a critical rotational speed. For the case where these coupled equations are specialized to simple flexure only, valid for low angular speeds, a unique feedforward control strategy can be derived. This is an open-loop control strategy that enables total elimination of an a priori specified vibratory mode from the gross motion in a finite critical time.
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      On the Modeling, and Open-Loop Control of a Rotating Thin Flexible Beam

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    • Journal of Dynamic Systems, Measurement, and Control

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    contributor authorS. Choura
    contributor authorM. A. Medick
    contributor authorS. Jayasuriya
    date accessioned2017-05-08T23:35:07Z
    date available2017-05-08T23:35:07Z
    date copyrightMarch, 1991
    date issued1991
    identifier issn0022-0434
    identifier otherJDSMAA-26164#26_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/108318
    description abstractA set of governing differential equations is derived for the inplane motion of a rotating thin flexible beam. The beam is assumed to be linearly elastic and is connected to a rigid hub driven by a torque motor. Both flexural and extensional effects are included in the derivation. This coupling due to flexure and extension is usually neglected in studies dealing with the control of such a system. Models for typical control studies are often derived by utilizing an assumed mode approach where the mode shapes are obtained by solving the Euler-Bernoulli beam equation for flexural vibrations, with clamped-free or pinned-free boundary conditions. The coupled equations developed in this paper are used to demonstrate that typical models in control studies give satisfactory results up to a critical rotational speed. For the case where these coupled equations are specialized to simple flexure only, valid for low angular speeds, a unique feedforward control strategy can be derived. This is an open-loop control strategy that enables total elimination of an a priori specified vibratory mode from the gross motion in a finite critical time.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Modeling, and Open-Loop Control of a Rotating Thin Flexible Beam
    typeJournal Paper
    journal volume113
    journal issue1
    journal titleJournal of Dynamic Systems, Measurement, and Control
    identifier doi10.1115/1.2896354
    journal fristpage26
    journal lastpage33
    identifier eissn1528-9028
    treeJournal of Dynamic Systems, Measurement, and Control:;1991:;volume( 113 ):;issue: 001
    contenttypeFulltext
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