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    Please use this identifier to cite or link to this item: http://ir.lib.ksu.edu.tw/handle/987654321/9807

    Title: Vibration suppression of a moving beam subjected to an active-control electrostatic force
    Authors: 林水木
    Contributor: 機械工程系
    Keywords: moving beam
    analytical solution
    Date: 2010-01-05
    Issue Date: 2010-04-22 16:44:25 (UTC+8)
    Abstract: In this study, the mathematical model of a moving beam is established.
    This model is composed of a governing differential equation and three
    homogenous boundary conditions and one non-homogenous boundary condition
    including a time-dependent inertia force and a nonlinear active control force. Obviously,
    a moving mass problem with nonlinear and time dependent boundary condition
    is very complicated. One solution method is here developed to derive the
    exact solution for this system. By taking a change of dependent variable with
    a shifting function the original system is transformed to be a system composed
    of one non-homogeneous governing differential equation and four homogeneous
    boundary conditions. Further, based on an orthogonality condition of the eigenfunctions
    the mode superposition method is used to derive the exact solution for
    the transformed system. It should be noted that the transformed system is proved
    to be non-self-adjoint. Its orthogonality condition of eigenfunctions is different to
    the conventional one. Based on this orthogonality condition, the mode superposition
    method can be used to solve the transformed problem. The effects of different
    accelerations of a moving beam on the dynamic positioning and vibration of beam
    are significant. For suppressing vibration, two simple designs of active control of
    electrostatic force against the vibration are presented here. These are verified to be
    very effective.
    Relation: CMES, vol.43, no.1, pp.73-90, 2009
    Appears in Collections:[機械工程系所] 期刊論文

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