臺灣博碩士論文加值系統

　　本文的主要目的為分析複合桿件的中性扭轉問題。此所謂的中性扭轉（neutral torsion）為以一內含物替換一均質桿件中的一部份後，將此置換過內含物之複合桿件施以扭力作用下，內含物外部即原均質桿件部分之翹曲函數（warping function）不改變。而本文則選擇兩種不同材料性質的內含物來做討論。其一為圓柱正交異向性（cylindrically orthotropic）內含物。；第二部分則為功能漸變性（functionally graded）圓柱內含物。而在此中性扭轉的情況下，本文也就各章節的內容計算了內含物與全複合桿件斷面的扭轉剛度（torsional rigidity）。

摘要 Ⅰ
誌謝 Ⅱ
目錄 Ⅲ
圖目錄 Ⅴ

第一章 緒論
1.1 理論背景與介紹 1
1.2 研究動機 2
1.3 論文內容簡介 2

第二章 圓柱正交異向性（cylindrically orthotropic）內含物 4
2.1滿足均質桿件斷面為中性之圓柱正交異向性內含物 4
2.2 替換內含物後之全斷面扭轉剛度 9
2.3 不同斷面形狀之均質桿件 11

第三章 包含功能漸變性（functionally graded）圓柱內含物的圓形桿件 28
3.1 控制方程之建立與邊界條件 28
3.2 剪力模數對應翹曲函數之形式 31
3.3 替換內含物後之全斷面扭轉剛度 35

第四章 包含功能漸變性圓柱內含物的橢圓桿件 47
4.1 控制方程之建立與邊界條件 47
4.2 剪力模數對應翹曲函數之形式 49
4.3 替換內含物後之全斷面扭轉剛度 52

第五章 討論與建議 57
參考文獻 59
附錄A、B 61

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