淡江大學機構典藏:Item 987654321/119945
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/119945


    Title: Dynamic Stability and Response of Inclined Beams Under Moving Mass and Follower Force
    Authors: Yang, D.S.;Wang, C.M.;Yau, J.D.
    Keywords: Moving follower force;moving mass;dynamic stability;inclined beam
    Date: 2020-10-23
    Issue Date: 2021-02-24 12:12:11 (UTC+8)
    Publisher: World Scientific Publishing Co. Pte. Ltd.
    Abstract: This paper is concerned with the dynamic stability and response of an inclined Euler–
    Bernoulli beam under a moving mass and a moving follower force. The extended Hamil-
    ton’s principle is used to derive the governing equation of motion and the boundary
    conditions for this general moving load/force problem. Considering a simply supported
    beam, one can solve the problem analytically by approximating the spatial part of the
    deflection with a Fourier sine series. Based on the formulation and method of solution,
    sample dynamic responses are determined for a beam that is inclined at 30◦ with respect
    to the horizontal. It is shown that the dynamic response of the beam under a moving
    mass is rather different from an equivalent moving follower force. Also investigated herein
    are the dynamic stability of inclined beams under moving load/follower force which are
    described by four key variables, viz. the speed of the moving mass/follower force, con-
    centrated mass to the beam distributed mass, vibration frequency and the magnitude of
    the moving mass/follower force. The critical axial load and the critical follower force are
    different when they are located at different positions in the beam; except for the special
    case when they are at the end of the beam.
    Relation: International Journal of Structural Stability and Dynamics 20(14), 2043004
    DOI: 10.1142/S021945542043004X
    Appears in Collections:[Graduate Institute & Department of Civil Engineering] Journal Article

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