臺灣博碩士論文加值系統

在本論文中，我們將結合有限元素法與圓柱形線方法來分析圓柱形結構之傳輸線。此方法是將欲分析之結構分為不均勻複雜區域與均勻簡單區域，其中複雜區域為結構複雜或介電係數隨空間變化的部分，此部份將以有限元素法來分析；而均勻簡單區域為結構簡單或介電係數不隨空間變化的部分，此部份將由圓柱形線方法來分析。由圓柱形線方法，我們可以求出適當的邊界條件，並將其代入有限元素法的邊界面積分方程式，便可將兩種方法作結合。本論文所提之分析方法，不但可以保留有限元素法分析複雜結構之優點，而圓柱形線方法可以減少方程式的未知數，進而達到高效率之電磁分析。本方法之正確性與效率性將藉由比較文獻中完全利用有線元素法或圓柱形線方法分析的結果來確認

In this thesis, we will combine the finite element method (FEM) and the cylindrical method of line(CMoL) to analyse the cylindrical transmiission line. In this approach, the regions of complex geometric or material structures are modeled by the finite element method. The simple regions or homogeneous lays of structures are analyzed using the CMoL. From the filed solutions calculated using the CMoL, the boundary conditions are constructed. The line and surface integral involved in FEM. This numerical technique would not only retain the characteristic of FEM in simulating complex structures but also can singnificantly reduce the number of unknows. The validation of the proposed method is checked by comparing with the result modeled by FEM or CMoL.

誌謝.............................................................................................................Ⅰ
論文摘要.....................................................................................................Ⅱ
ABSTRACT................................................................................................Ⅲ
目錄.............................................................................................................Ⅳ
圖錄.............................................................................................................Ⅵ
符號說明..................................................................................................Ⅷ
第一章 緒論..................................................................................1
1.1 研究動機..................................................................................1
1.2 研究方法..................................................................................2
第二章 分析方法..........................................................................3
2.1 有限元素法..............................................................................4
2.2 圓柱線方法............................................................................12
2.3有限元素法結合圓柱線方法之分析......................................19
第三章 結果分析與討論..........................25
第四章 結論與未來研究方向......................42
參考文獻.....................................43

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