Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/2436
標題: 有限元素網格和元素種類對拓樸最佳化之影響
Influence of element types and meshes on topology optimization
作者: 林庭瑋
Lin, Ting-Wei
關鍵字: Topology optimization;拓樸最佳化
出版社: 機械工程學系所
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摘要: 
本文探討在滿足材料使用量下,以不同網格的佈建方式與各種類型的元素形狀所形成的有限元素模型求解結構拓樸最佳化。本文利用田口法來決定較佳的有限元素網格與種類。田口法將二維元素種類訂出四種水準、三維元素種類訂出二種水準,亦即二維的三種形狀之三角形元素和四邊形元素、三維的三角錐元素和六面體元素,以及將二維網格佈建方式訂出四種水準、三維網格佈建方式訂出五種水準,亦即四個和五個分別不同的網格角度改變量,並利用本文設計的四種指標(順從度、元素比密度、平滑度、棋盤式結構),以很少的實驗即可決定較佳的有限元素網格和種類。最後利用修改元素密度檔的簡單後處理將產生後的拓樸形狀修整成平滑可使用的結構。
本文之拓樸最佳化求解過程中應用MSC/NASTRAN和MSC/PATRAN兩種軟體做有限元素分析以及前後處理,且針對不同範例討論與比較田口法之結果,並將得到的較佳有限元素網格和種類之拓樸圖以MSC/PATRAN軟體繪出。

The topology optimization under material constraint is studied in this thesis. The finite element models are made up of different meshes and different types of elements. Taguchi method is used to determine the better element type and meshes used for topology optimization. Four levels of 2D elements used include three types of triangular elements and one type of quadrilateral element. Two levels of 3D element types contain tetrahedral and hexagonal elements. There are four levels of 2D element meshes and five levels of 3D element meshes. These levels represent mesh angles in the design space. Four indices are developed in this thesis to judge the topologies generated. A minimum numbers of experiments based on Taguchi's orthogonal table are performed to determine the better element type and meshes. The final topology is further modified manually to yield a smooth and useful structure for practical use.
MSC/NASTRAN and MSC/PATRAN are used to analyze the structures and do the pre- and post- processes, respectively. The results obtained for each example are compared. MSC/PATRAN is used to show the topologies with better element types and meshes.
URI: http://hdl.handle.net/11455/2436
其他識別: U0005-1207201014045500
Appears in Collections:機械工程學系所

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