臺灣博碩士論文加值系統

複合材料為現代常用的材料，其中纖維疊層板複合材料為應用最廣，因其纖維方向的特性，可以改變其排列方式來因應多種狀況達到加強效果，而奈米碳管為目前新興的補強材料，由於它具有優秀的機械性質，如高強度、高韌性、高硬度等等之特性，所以很適合作為補強材料。本文透過複合材料的加勁方式來結合碳纖維、樹脂及奈米碳管，並加入纖維方向之特性與各個材料之市場價格，想藉著ANSYS裡的最佳化模組，來找出最適合的各個材料的體積比與角度配置方式，最後再與傳統的純碳纖疊層板相較其花費與重量改善狀況。

Composite materials are common materials using in engineering and the fiber composite laminate is widely used. With various fiber arrangement, the strength of material can be enhanced. Since the carbon nanotube has mechanical properties with high strength and high stiffness, it is appropriately used as reinforcement material. In this study, carbon fiber, epoxy and carbon nanotube are combined by Rule of Mixture and Halpin-Tsai equation, and the fiber direction and price of materials are also considered. The optimum arrangement of fiber direction and material volume fraction are calculated by ANSYS. Finally, the optimum results of cost and weight are compared with typical carbon fiber laminate.

摘要 I
Abstract II
致謝 XVII
表目錄 XXI
圖目錄 XXIV
符號 XXVI
第1章 緒論 1
1.1 前言 1
1.2 文獻回顧 5
1.3 研究方法 6
第2章 奈米複材 8
2.1 纖維加勁複材疊層板 8
2.2 奈米碳管之配置 8
2.3 等效材料性質 9
2.3.1 混合法則[24] 9
2.3.2 Halpin-Tsai Equation[25] 10
第3章 最佳化設計 11
3.1 數學模型 11
3.1.1 目標函數 11
3.1.2 設計變數 11
3.1.3 限制條件 12
3.2 最佳化工具-ANSYS[29] 14
3.2.1 ANSYS最佳化設計 14
3.2.2 ANSYS最佳化分析之參數設定與分析流程[30] 15
第4章 奈米複材最佳化結果 23
4.1 奈米複材疊層板之矩形板、元素與材料選用 23
4.2 奈米碳管加勁方式之楊氏係數差異性 24
4.3 不同邊界條件之挫曲、側向位移、自然頻率最佳角度排列 29
4.4 奈米複材之最佳配置 34
第5章 結論與未來展望 51
5.1 結論 51
參考文獻 52
附錄 56

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