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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/107045


    Title: Influence of tuned mass damper on fixed-free 3D nonlinear beam embedded in nonlinear elastic foundation
    Authors: Yi-Ren Wang;Shu-Chien Tu
    Keywords: Tuned mass damper;Vibration reduction;Nonlinear vibrations
    Date: 2016-10
    Issue Date: 2016-08-15
    Publisher: Springer Netherlands
    Abstract: This study investigated the damping effects of a tuned mass damper (TMD) on a fixed-free 3D nonlinear beam resting on a nonlinear elastic foundation with existing internal resonances. The nonlinear elastic foundation below (y-direction) and beside (z-direction) the nonlinear beam was simulated using cubic nonlinear springs via the method of multiple scales for the analysis of this problem. We first examined this system to ensure if the internal resonance exists. The 1:3 internal resonance was found in the 1st and 2nd modes of the system. This prompted us to add a TMD on the elastic beam in order to suppress internal resonance and vibrations. We also examined the influence of the mass and location of the TMD as well as damping and spring coefficients on the damping effects. Analysis data is presented in graphs, including 3D maximum amplitude plots of the modes and 3D maximum amplitude contour plots. Our results show that placing the TMD in the y-direction also suppresses vibrations in the z-direction. The locations of the maximum amplitudes between node points in the mode shapes and near the free end of the beam indicate where the TMD should be placed with regard to damping.
    to suppress internal resonance and vibrations. We also
    examined the influence of the mass and location of the
    TMD as well as damping and spring coefficients on the
    damping effects. Analysis data is presented in graphs,
    including 3D maximum amplitude plots of the modes
    and 3D maximum amplitude contour plots. Our results
    show that placing the TMD in the y-direction also
    suppresses vibrations in the z-direction. The locations
    of the maximum amplitudes between node points in
    the mode shapes and near the free end of the beam
    indicate where the TMD should be placed with regard
    to damping.
    Relation: Meccanica 51(10), p.2377-2416
    DOI: 10.1007/s11012-016-0372-8
    Appears in Collections:[航空太空工程學系暨研究所] 期刊論文

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