淡江大學機構典藏:Item 987654321/111764
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/111764


    Title: Damping performance of dynamic vibration absorber in nonlinear simple beam with 1:3 internal resonance
    Authors: Yi-Ren Wang;Hsueh-Ghi Lu
    Keywords: nonlinear beam vibration;internal resonance;tuned mass damper;vibration reduction
    Date: 2017-06
    Issue Date: 2017-10-03 02:10:22 (UTC+8)
    Publisher: International Institute of Acoustics and Vibration
    Abstract: This study investigated the damping effects of a dynamic vibration absorber (DVA) attached to a hinged-hinged nonlinear Bernoulli-Euler beam. The model constructed in this study was used to simulate suspended nonlinear elastic beam systems or vibrating elastic beam systems on a nonlinear Winkler-type foundation. This makes the modeling in this study applicable to suspension bridges, railway tracks, and even carbon nanotubes. The hinged-hinged beam in this study includes nonlinear stretching effects, which is why we adopted the method of multiple scales (MOMS) to analyze the frequency responses of fixed points in various modes. The use of amplitudes and vibration modes made it possible to examine the internal resonance. Our results indicate that particular elastic foundations or suspension systems can cause 1:3 internal resonance in a beam. The use of 3D maximum amplitude contour plots (3DMACPs) enabled us to obtain a comprehensive understanding of various DVA parameters, including mass, spring coefficient, and the location of DVA on the beam, and thereby combine them for optimal effect. Our results were verified using numerical calculations.
    Relation: International Journal of Acoustics and Vibration 22(2), p.167-185
    DOI: 10.20855/ijav.2017.22.2462
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Journal Article

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