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頁籤選單縮合
題 名 | 環板水中自由振動之研究=A Study of Free Vibration of Submerged Annular Plates |
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作 者 | 梁卓中; 戴毓修; 李必良; | 書刊名 | 中國造船暨輪機工程學刊 |
卷 期 | 19:1 2000.02[民89.02] |
頁 次 | 頁9-25 |
分類號 | 444.1 |
關鍵詞 | 自由振動; 浸水; 環板; Free vibration; Submergence; Annular plate; |
語 文 | 中文(Chinese) |
中文摘要 | 本文研究有關環板(annular plate)在水中振動問題,假設流體為不可壓縮、無黏性及無旋性。關於環板在流體中之自由振動,基本上採用Kwak's解析法。由薄板理論,獲得環板之自然頻率。對於環板流體結構相互作用(fluid-structure interaction)效應, 利用Hankel積分變換及流體邊界條件,導出積分聯立方程式,解得速度勢 (velocity potential),再用雷利商值(Rayleigh Quotient)理論獲得在流體中之自由振動頻率。文中並採用有限單元法,及相關文獻實驗值比較驗證,結果顯示出鋼質環板在水中最低的自然頻率約為空氣中百分之四十至八十之間。為便於計算頻率值,將空氣中環板自由振動之無因次頻率係數(frequency parameter)及流體中之無因次附加質量係數(non-dimensionalized added mass) 依環板邊界條件分類組合為表,以提供工程設計使用。 |
英文摘要 | This paper examines the free vibrations of annular plates having contact with stationary fluid on one or both sides. The fluid is assumed to be incompressible, inviscid, and irrotational. The natural frequencies of annular plates for different inner and outer plate boundary conditions are also obtained on the based of Kwak's theoretical approach. In addition, the Hankel transform is applied to solve the fluid-plate coupled system and the boundary conditions are expressed by integral equations. Validation of the adopted method closely corresponds to Ross's finite element method and with experimental data obtained from previous literature related to the fundamental mode and frequency; however higher modes are computed with less accuracy. The frequency parameters in air and the non-dimensionalized added mass factors in fluid are arranged in design form providing for engineering design application. |
本系統中英文摘要資訊取自各篇刊載內容。