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研究生: 嚴楚寒
Yen, Chu-Han
論文名稱: 複合層板受爆炸荷載下之最佳化設計
Optimization for Composite Laminates under Blast Loading
指導教授: 胡宣德
Hu, Hsuan-Teh
共同指導教授: 戴毓修
Tai, Yuh-Shiou
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 47
中文關鍵詞: 有限元素複合材料層板最佳化Powell 方法爆炸荷載AbaqusPython 腳本
外文關鍵詞: Finite element, Composite laminates, Optimization, Blast loading, Abaqus, Python Script
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  •   纖維強化疊層複合材料以其質量輕、強度高等優點,使得此一材料廣泛應用於航太、軍事等結構。這類結構在使用的過程中除承受靜動態荷重之外,亦有可能承受爆炸荷重。為了達到材料最有效的應用,本研究將針對複合層板承受爆炸荷載的反應進行分析與最佳化設計。
      有鑑於一般有限元素分析 (FEA) 通常僅做單一案例分析,鮮少配合程式進行最佳化分析,本研究將遵循Powell方法之精神,透過撰寫Python腳本 (script) ,實現以Abaqus做為工具的最佳化方法,探討複合材料層板受爆炸衝擊的疊層角度最佳化問題,提供產品製造者以更有效率的方式完成品質更好的產品設計。

    Laminated fiber-reinforced composite materials are widely used in aeronautic engineering, military engineering, etc. thanks to its advantages like light weight, high strength and so on. These structures may stand for the blast loading besides normal static or dynamic loading. To get the most efficient use of materials, this research would focus on the analysis to the responds for the composite laminates under blast loading, and optimize its design.
    A common finite element analysis (FEA) usually focuses on the single analysis without aid by programming to perform an optimization analysis. So this research follows the spirit of Powell's method to achieve the optimization for composite laminates under blast loading by using Python script controlling Abaqus. With the algorithm developed in this thesis, the manufacturer can make better design for product in a more efficient way.

    摘要 i ABSTRACT ii 誌謝 iii 目錄 iv 表目錄 vi 圖目錄 vii 符號說明 ix 第1章 緒論 1 1.1 研究動機與目的 1 1.2 文獻回顧 1 1.3 研究方法 2 1.4 論文架構 3 第2章 材料性質 4 2.1 纖維強化疊層複合材料 (laminated fiber-reinforced composite materials) 4 2.1.1 正向性單層板的應力-應變關係 5 2.1.2 單層板在任意方向的應力-應變關係 7 2.2 複合材料破壞準則 9 2.2.1 Tsai-Hill破壞準則 (Tsai-Hill failure criteria) 10 第3章 最佳化方法 11 3.1 概觀 11 3.2 黃金分割法 (golden section method) 11 3.2.1 單峰函數 (unimodal function) 12 3.2.2 消去法 (elimination methods) 12 3.2.3 費氏法 (Fibonacci method) 13 3.2.4 費氏數列與黃金比例 (golden ratio)之關連 14 3.2.5 費氏法與黃金分割法之差異 15 3.3 Powell方法 15 3.3.1 型樣方向 (pattern directions) 與型樣搜尋法 16 3.3.2 Powell方法演算流程 16 3.4 網格搜尋法 (grid search method) 18 第4章 複合層板受爆炸荷載之模擬 19 4.1 問題描述 19 4.1.1 Kevlar/Epoxy 19 4.1.2 爆炸壓力波簡述 20 4.2 模擬模型 22 4.2.1 CONWEP模型 23 4.2.2 網格收斂性分析 23 第5章 改良Powell方法演算法 27 5.1 演算法架構 27 5.2 演算法細節 29 5.2.1 單變數與多變數轉換 29 5.2.2 記錄當前最佳解 29 5.2.3 參數設定與黃金分割法收斂條件 30 第6章 結果與討論 32 6.1 改良Powell方法結果 32 6.2 網格搜尋法結果 33 6.3 比較結果與討論 34 第7章 結論與建議 37 參考文獻 38 附錄 40 ※ 電腦硬體配備 40 ※ 網格收斂性分析 41 ※ 黃金分割法收斂條件比較 42 ※ 等高線圖 44 自述 47

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