淡江大學機構典藏:Item 987654321/44904
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/44904


    Title: An Analytical Solution for Out-of-plane Vibrations of an Arch with Variable Curvature
    Other Titles: 變曲率拱面外振動之解析解
    Authors: 黃炯憲;曾一平;張書豪
    Contributors: 淡江大學土木工程學系
    Keywords: 解析解;動態勁度矩陣;面外自由振動;變曲率拱;Analytical solution;Dynamics stiffness matrix;Out-of-plane free vibration;Variable curvature arch
    Date: 1997-12
    Issue Date: 2010-03-26 17:41:54 (UTC+8)
    Publisher: 臺北市：中華民國力學學會
    Abstract: 本文利用Frobenius法結合動態勁度法推導變曲率拱面外振動之解析解。此解考慮了撓曲、扭曲、及剪力變形，和旋轉慣性。此解析解可保證得到收斂解而不會遇到任何數值問題。此解之重要副產品為首次提供了變曲率拱面外振動之動態勁度矩陣；因此，此解可輕易地結合其他桿件元素之動態勁度矩陣進行更複雜結構系統如拱橋之精確動力分析。利用所得之解析解，本文針對橢圓拱進行一系列之分析並以圖表表示之，以填補文獻之不足。最後，本文亦對一完整橢圓環和斷裂橢圓環之動力特性加以分析討論。
    Relation: 力學：中國力學學會期刊=The Chinese Journal of Mechanics 13(4)，頁349-361
    Appears in Collections:[Graduate Institute & Department of Civil Engineering] Journal Article

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