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研究生:邱耀達
研究生(外文):Yaw-Dar Chiou
論文名稱:直立堤面衝擊波力與衝升時間聯合機率分佈特性之研究
論文名稱(外文):Joint Probability Distribution of Impulsive Wave Forces and Rising Time on Vertical Breakwater
指導教授:簡仲和簡仲和引用關係
指導教授(外文):Chung-Ho Chien
學位類別:博士
校院名稱:國立成功大學
系所名稱:水利及海洋工程學系碩博士班
學門:工程學門
學類:河海工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:134
中文關鍵詞:溢出型碎波衝擊波力衝升時間聯合機率分佈捲波形碎波
外文關鍵詞:Joint probability distributionPlunging breakerSpilling breakerImpulsive wave forceRising time
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本文係以規則波模型實驗,於斷面水槽中拍打七種相對水深d/Lo之碎波波浪條件;碎波型態涵蓋捲波型(plunging)、過渡型(transitional)及溢出型(spilling)。實驗以直接擷取波力資料之方式,探討碎波作用於緩坡上直立堤時,衝擊波力(impulsive wave force)與衝升時間(rising time)之聯合機率分佈特性。
實驗之前,首先以40,000Hz擷取速率獲得捲波型碎波衝擊波力之時系列數據,進行一系列之隨機擷取模擬,以檢定最大衝擊波力偏差與擷取頻率之相關性;結果顯示,高於400Hz擷取頻率所擷取之波力較具有代表性,本文則以2,500Hz作為所有波力實驗之擷取頻率,其擷取最大衝擊波力之偏差經檢定已小於0.3%。
各試驗所擷取之衝擊波力經以波力形狀量化定義及其相關統計參數之信賴度區間檢定;同時考量Goda(1985)建議有關樣本數大小限制之下,選定衝擊波力波形中第一峰值對第二峰值之比F1/F2=1.5作為閥值(threshold),各衝擊波力波形大於此一閥值者始通過檢定,用於後續衝擊波力與衝升時間之聯合機率分佈分析。
經一系列實驗值與理論聯合機率分佈之比較分析,結果顯示雙常態密度函數頗適於無因次衝擊波力與衝升時間聯合機率分佈型態之描述;本文並據以迴歸出雙常態密度函數中各機率參數與相對水深d/Lo、波浪尖銳度 之關係式;同時,提擬以此聯合機率分佈函數用予推估衝擊波力之流程,經以現場設計條件作為應用例,實際說明不同發生機率衝擊波力之推估方式,並與Hiroi(1920)、Minikin(1950)、Nagai(1960)、Mitsuyasu(1962)、Goda(1985)等衝擊波壓公式計算值作比較,結果顯示本文有關衝擊波力與衝升時間聯合機率分佈之研究成果頗為合理。
Regular wave model tests are carried out with 7 kinds of relative depth d/Lo to investigate the joint probability distribution of impulsive forces and rising time for plunging, transitional and spilling breakers on vertical breakwater.
In the model tests, the acquisition rate in model tests was set as 2,500Hz, from which an estimated maximum deviation of impulsive force was below 0.3%. Through a sequence of investigations on deviation of maximum force via acquisition rate for a time series of impulsive forces obtained in a rate of 40,000Hz.
Morover, with confidence interval tests on waveform and statistic parameters of impulsive force data and sample size limitation of data suggested by Goda(1985), impulsive force data were collected to perform the probability analysis by setting a threshold of 1.5 on F1/F2, ratio of first peak to second peak in a waveform of impulsive force.
Based on a series of comparisons of the theoretic and experimental distribution, it was found that the bivariate normal density function could present the joint probability distribution of dimensionless impulsive force and rising time quite well. Meanwhile, parametric formula was regressed with relative water depth d/Lo and wave steepness to estimate the statistic parameters of bi-variate normal density function. Furthermore, a design process on the basis of joint probability distribution was suggested to estimate the impulsive force of plunging wave on breakwaters. The illustrative examples were presented and the results were compared with the formulas presented in Hiroi(1920), Minikin(1950), Nagai(1960), Mitsuyasu(1962) and Goda(1985). It was shown that the design process on the basis of joint probability distribution is quite reasonable.
中文摘要 I
英文摘要 III
圖目錄 IX
表目錄 X1
符號說明 XIII

第一章 緒論 1
1-1衝擊波力時間歷程特性 1
1-1-1非線性重複波、碎波及衝擊波力時間歷程 2
1-1-2捲波型與溢出型衝擊波力之特性 3
1-2衝擊波力造成之防波堤災害 5
1-3往昔之相關研究 9
1-3-1衝擊波壓力之實驗研究及理論推導 9
1-3-2衝擊波力之機率分佈型態 12
1-3-3衝擊波力與衝升時間之關係 15
1-4研究方法及本文組織 18
第二章 衝擊波力實驗 19
2-1實驗設備 19
2-1-1實驗水槽佈置 19
2-1-2測力結構 20
2-1-3控制及資料擷取設備 26
2-2資料擷取頻率 27
2-3實驗內容 31
2-3-1實驗波浪 31
2-3-2理論與實驗之碎波型態比較 34
2-3-3發生衝擊波力波浪條件迴歸式 38

第三章 衝擊波力之篩選 41
3-1實驗衝擊波力須篩選之原因 41
3-2衝升時間、作用力與衝量之關係 46
3-3衝擊波力第一峰值F1與第二峰值F2比值特性 49
3-4衝擊波力之定義 61


第四章 衝擊波力與衝升時間聯合機率分佈特性 62
4-1衝擊波力與衝升時間之機率分佈型態 63
4-1-1衝擊波力之機率分佈型態 63
4-1-2衝升時間之機率分佈型態 71
4-1-3衝升時間之估算 78
4-2衝擊波力與衝升時間聯合機率分佈 81
4-2-1衝擊波力第一峰值F1*與衝升時間t1*之相關性 81
4-2-2 {ln(F1*/t1*), ln(t1*)}統計參數之迴歸 86
4-2-3 {ln(F1*/t1*), ln(t1*)}之聯合機率分佈 90
4-3實例應用討論 96
4-3-1衝擊波力計算流程 97
4-3-2衝擊波力計算值與學者公式之比較 106
4-3-3實體防波堤計算實例 108

第五章 結論 114
附錄A 117
附錄B 118
附錄C 119
附錄D 120
附錄E 122
參考文獻 124
作者簡歷 131
學術著作 132
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