| 研究生: |
王聖瀚 Wang, Sheng-Han |
|---|---|
| 論文名稱: |
潛堤之透水和彈性對波浪之影響分析 Effects of Porosity and Elasticity of Submerged Structures on Waves |
| 指導教授: |
李兆芳
Lee, Jaw-Fang |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 水利及海洋工程學系 Department of Hydraulic & Ocean Engineering |
| 論文出版年: | 2009 |
| 畢業學年度: | 98 |
| 語文別: | 中文 |
| 論文頁數: | 127 |
| 中文關鍵詞: | 潛堤 、透水性 、彈性 |
| 外文關鍵詞: | submerged, porosity, elasticity |
| 相關次數: | 點閱:65 下載:4 |
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在本研究中,以一彈簧支撐的多孔板覆蓋一消波空間所組成之潛式結構模擬彈性透水之潛堤,並藉以探討孔隙和結構物彈性對入射波之影響。
為理論解析此問題,則將此問題分解為散射問題和單位運動振幅之輻射問題,最後並以結構物運動方程式完整求解。問題中在水流與多孔板間之相互作用,為採用Chwang’(1983)透水薄板理論,透水板則考慮垂直與轉動兩個自由度之運動。而在求解波浪之輻射問題上,李(1995)所提的方法則用來求解非齊性邊界值問題。
對於本文無窮級數形態的理論解,需決定實際算時使用的項數,並且確認計算結果能收斂。本文與李和劉(1995)之不透水潛堤,黃(1996)針對前提前後方不透水之潛式透水結構之解析結果,與藍(2000)針對透水剛性潛堤試驗結果比較,均得到一致的結果。本文對於潛堤在不同水深、潛堤特性長度(堤高 、堤寬 ),其彈性與透水性對於波浪之影響均有討論。由研究結果顯示較大的彈性會引起較大的反射波,而透水性則增大對波能之消滅。
In this study, a simplified model consisting of an empty chamber covered with a spring supported porous plate is used to replace the submerged poro-elastic structure, and effects of porosity and structural stiffness on incident wave are investigated analytically.
To solve the problem analytically, the problem is separated into a scattering problem and radiation problems with unit motion amplitude, and the problem is finally solved by using equations of motion of the submerged structure. For flow interacting with the porous plate Chwang’s(1983) thin-plate assumption is adopted, and motions of the plate in the chamber are two degrees of freedom heave and roll. And in solving the radiation problems Lee’s(1995) method is also applied to resolve the difficulty of nonhomogeneous boundary value problems.
The present analytic solution contains series expression, therefore convergence of the finite number of terms is determined.The present analytical solution is compared with Lee and Liu(1995) for submerged breakwater, with Huang(1996) for submerged porous structures, and with Lan(2000) for poro-elastic structures, and the comparisons show good agreements. Using the present analytic solution, effect of water depth, characteristic length of submerged breakwater (height , width ), porosity and elasticity on wave properties are discussed. And the results indicate that for greater elasticity, the resulting wave reflection can be larger and higher porosity induces less energy loss.
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