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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/35516

    Title: 應用有限元素頻域法於含飽和液體多孔薄板之彎曲振動分析
    Other Titles: On the flexural vibration of thin porous plate saturated with fluid by finite element frequency domain analysis
    Authors: 陳央澤;Chen, Yang-ze
    Contributors: 淡江大學機械與機電工程學系碩士班
    蔡慧駿;Tsay, Huoy-shyi
    Keywords: 多孔薄板;彎曲振動;彈性支撐;頻域;有限元素分析;Thin Porous Plate;Flexural Vibration;Elastic Restraint;frequency domain;Finite Element Analysis
    Date: 2009
    Issue Date: 2010-01-11 06:43:46 (UTC+8)
    Abstract: 本文使用Biot多孔彈性理論推導多孔薄板之彎曲振動統御方程組與頻域多孔薄板元素剛性矩陣,以探討多孔薄板之彎曲振動行為。
    In this study, Biot''s poroelastic theory is used to derive the governing equations of flexural vibration of thin porous plates as well as the stiffness matrixes of the frequency domain thin porous plate elements.
    First, the poroelastic theory is used to formulate the governing equations of flexural vibration of thin porous plates based on the plane stress assumptions. Then, the governing equations are transformed to Laplace domain and the Galerkin finite element approach is applied to derive the stiffness matrixes of triangular and rectangular porous elements. After applying impulsive loadings and boundary conditions, the finite element frequency domain analysis of thin porous plates can thus be accomplished. Upon examining the governing equations and the modal frequencies and mode shapes of thin porous plates with specified boundary conditions or elastic restraints, it is validated that the finite element frequency domain analysis can obtain good flexural vibration results for thin porous plates.
    A thin fluid-saturated porous plate could present typical dissipation effects owing to the interaction of the fluid and the solid skeleton. Upon examining the reduction of the modal amplitudes after the increase of the fluid’s viscosity, it is learned that the more the increase in dissipation effects the more the reduction in modal amplitudes. It is also found if the bulk modulus of the saturated fluid is increased the plate’s modal frequencies are increased. Accordingly, the modal frequency and the modal amplitude can be adjusted by changing the properties of the saturated fluid, and the vibration control of thin porous plates can thus be achieved. In the end of this study, the influences of dimensionless coefficients on the first mode of a thin porous plate are examined and the results are discussed into three categories signifying the effects on the beginning amplitude, the modal amplitude, and the modal frequency.
    Appears in Collections:[機械與機電工程學系暨研究所] 學位論文

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