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    Title: 整合移動漸近線法與模糊理論於多目標拓樸最佳化之研究
    Other Titles: An integrated method of moving asymptotes and fuzzy theory for multi-objective topology optimization
    Authors: 康祐嘉;Kang, Yu-Chia
    Contributors: 淡江大學航空太空工程學系碩士班
    張永康;Chang, Yeong-Kang
    Keywords: 移動漸近線法;拓樸最佳化;模糊理論;B-splin函數;Method of Moving Asymptotes;Topology optimization;Fuzzy Theory;B-spline curve
    Date: 2012
    Issue Date: 2012-06-21 06:47:59 (UTC+8)
    Abstract: 本研究之目的為整合移動漸近線法與模糊理論於結構多目標拓樸最佳化設計。研究中使用ANSYS作為結構分析的工具,並利用複合材料分配法和移動漸近線法求得最佳結構拓樸外形。本文應用模糊理論中歸屬函數以及交集決策的概念,將多目標最佳化的問題轉換為單目標最佳化問題,最後求得結構多目標拓樸最佳化問題的Pareto最佳解。本研究使用三階段最佳化設計的技巧來進行結構拓樸最佳化。第一階段利用對偶法得到初始拓樸圖形。第二階段使用混合法,移除不必要元素,並保留必要元素,使拓樸圖形更為清晰。第三階段再應用B-Spline函數修正不平滑的拓樸邊界外形。
    本論文將執行四個不同的範例求解結構多目標拓樸最佳化設計的問題,並探討各階段拓樸外形的差異。範例中顯示經過三階段拓樸最佳化後,可以得到較清晰且平滑之結構外形。
    An integrated method of moving asymptotes and fuzzy theory for multi-objective topology optimization is developed in this study. The finite element analysis software ANSYS is used for structural analysis. By using the method of material distribution with method of moving asymptotes, the optimum topology design of structure is obtained. In this paper, the multi-objective optimization problem transfer to single optimization problem by utilizing the concept of the fuzzy theory, which is using membership function and intersection set of decision-making. After implementing the concept above, the Pareto solution of the multi-objective topology optimization problem can be obtained. Three stages of topology design were employed in this study. In first stage, a dual method is used to obtain the initial topology design. To eliminate unnecessary element and retain necessary element by element growth-removal combined method (EGRCM) in second stage. The B-Spline curve is used to smooth the design shape in the final stage.
    Four different multi-objective problems are demonstrated in this paper. The topology optimization result will be discussed in each stage. After using three stages topology design, the results shows that the optimum shapes of structures are more clear and smooth.
    Appears in Collections:[航空太空工程學系暨研究所] 學位論文

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