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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/105756

    Title: 含飽和流體多孔柱之步階響應
    Other Titles: Step response of a fluid-saturated porous column
    Authors: 林玟萱;Lin, Wen-Xuan
    Contributors: 淡江大學機械與機電工程學系碩士班
    Keywords: 多孔柱;位移;Biot理論;有限元素頻域分析;Porous Column;Displacement;Biot Theory;Finite Element Frequency-Domain Analysis
    Date: 2015
    Issue Date: 2016-01-22 15:04:28 (UTC+8)
    Abstract: 本文旨在探討含飽和流體多孔柱之步階響應分析,所應用的分析方法有二,第一種方法使用拉普拉斯轉換後之Biot動態統御方程組,給予材料參數及邊界條件,直接解析算出多孔柱在上表面中心點位移頻域函數之理論解,第二種方法乃應用有限元素頻域分析(FEFDA),執行多孔柱之動態分析,兩種方法所求得頻域的位移解,可藉由傅立葉轉換,而得到時域的位移結果。
    This thesis aims to explore the step response of a fluid-saturated porous column. Two analysis methods are applied. The first method involves the use of the Biot’s dynamic governing equation after Laplace transformation with material parameters and boundary conditions to directly compute the theoretical solution of midpoint displacement function in frequency domain. The second method involves the Finite Element Frequency Domain Analysis (FEFDA) applied to execute porous column dynamic analysis. The displacement solution of frequency domain obtained using the two methods then utilizes Fourier transformation to obtain the time domain displacement results.
    In the study, the analysis methods were first verified for correctness. Through the theoretical solution and FEFDA of Biot’s dynamic governing equation in the frequency domain, the dynamic behavioral analysis was conducted on the water-saturated porous sandstone column to obtain the top boundary vertical displacement curve coincided with the results published by predecessors. Secondly, through geometric or parameter changes, two-dimensional FEFDA was adopted to explore the impact factors contributing to the dynamic behavior of a fluid-saturated porous column. Since the porous column containing fluid, through interaction with solids, display the special characteristic of dynamic dissipation, the analysis results show that the higher the viscosity coefficient of fluid or porosity, the higher the dissipation coefficient and displacement. Therefore, fluid or porosity changes can facilitate the accurate adjustment of dynamic behavioral response of a fluid-saturated porous column.
    Appears in Collections:[機械與機電工程學系暨研究所] 學位論文

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