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姓名 劉家樺(Jian-Yian Liu)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 邊界積分式於剛體聲場散射問題的應用
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摘要(中) 藉由理論之技巧將Green函數的奇異性消除 ,
進而推導出無奇異性之邊界積分式的直接法與間接法之理論公式 ,
並探討直接法與間接法之差異性 。並將其應用在剛體三維聲場散射問題上 ,
並對兩種方法所得之數值結果加以比較 。
在數值解法的過程中 ,
導入Gauss積分之概念 ,把物體視為一個或數個高階之元素 ,
以減少數值運算的時間 。
數值運算結果顯示 , 使用無奇異性高階邊界積分式時 ,
不論是直接法或者間接法 , 都能得到相當準確之結果 。
證實本方法在聲場問題分析上 ,
為一可靠且有效之數值方法 。
關鍵字(中) ★ 邊界積分式
★ 聲場散射
關鍵字(英)
論文目次 中文摘要I
目錄II
圖目錄IV
表目錄V
符號說明VI
第一章 緒論 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 本文架構 4
第二章 理論推導 6
2.1 邊界積分方程式 6
2.2 無奇異性高階邊界元素法之直接法公式推導 9
2.3 無奇異性高階邊界元素法之間接法公式推導 11
第三章 數值解法 15
3.1 直接法公式之離散化 15
3.2 間接法公式之離散化 17
3.3 集點分析 19
第四章 實例測試與討論 21
4.1 圓球剛體 21
4.2 橢圓盤剛體 27
第五章 結論 33
參考文獻 35
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指導教授 鄔蜀威(Shu-Wei Wu) 審核日期 2000-6-30
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