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    Modelling and boundary control of slender curved beams

    Access Status
    Fulltext not available
    Authors
    Do, Khac Duc
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Do, K.D. 2017. Modelling and boundary control of slender curved beams. International Journal of Control. 91 (8): pp. 1873-1895.
    Source Title
    International Journal of Control
    DOI
    10.1080/00207179.2017.1334265
    ISSN
    0020-7179
    School
    School of Civil and Mechanical Engineering (CME)
    URI
    http://hdl.handle.net/20.500.11937/61350
    Collection
    • Curtin Research Publications
    Abstract

    Modelling and boundary control of extensible and shearable slender curved beams in flow with large in-plane deflection are addressed in this paper. Equations of motion of the beams are derived based on the difference between purely geometric deformation and actual deformation from the reference and actual configurations to a virtual straight configuration. Two control designs based on the Lyapunov direct method are proposed for curved beams with both small and large curvature. The proposed boundary controllers guarantee globally (practically) (Formula presented.)-exponential stabilisation of the beam's motions at the origin. Two Lyapunov-type theorems are developed for nonlinear evolution systems in Hilbert space for analysis of well posedness and stability of the closed-loop system.

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