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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/83151
標題: | 應用形狀最佳化與拓樸最佳化於薄殼結構設計 Application of Shape Optimization and Topology Optimization in Thin Shell Structure Design |
其他標題: | Application of Shape Optimization and Topology Optimization in Thin Shell Structure Design |
作者: | 黃懷寬 Huai-Kuan Huang |
指導教授: | 呂良正 Liang-Jenq Leu |
關鍵字: | 自由曲面,結構最佳化,形狀最佳化,拓樸最佳化,薄殼結構,殼橋, Free-form surface,Structural optimization,Shape optimization,Topology optimization,Thin shell structure,Shell bridge, |
出版年 : | 2022 |
學位: | 碩士 |
摘要: | 現今建築經常以美學為主要設計依據,其中便以薄殼結構結合流線型以及創造開放空間感之設計較為常見,然而這些基於美觀之設計卻不一定是最有效率之設計,因此本研究將結合建構自由曲面技術與最佳化理論,設計出兼具美觀與良好力學行為之結構。
本研究採用NURBS做為自由曲面建構方法,透過控制點座標、節點向量以及基底函數建立曲面形狀,再結合最佳化理論將控制點座標做為設計變數,以對結構形狀進行調整,建構出在設定目標下具有最好表現之薄殼結構幾何形狀,並進一步探討延伸應用於支承最佳化的方法。 除了形狀最佳化以外,本研究也會應用到結構最佳化中的拓樸最佳化,藉由演算法迭代找出最有效率之材料分布位置,而本研究中所使用的拓樸最佳化演算法為BESO,將會以不同例題演示現有之BESO演算法的問題與不足之處,並針對這些問題加以修正。 本研究會將經過形狀最佳化後之薄殼結構,應用拓樸最佳化方法將結構中無效率處之材料移除,並將有效率處之材料保留,藉此將結構中之材料分配至最有效率傳遞力量之位置,使整體結構在相同材料使用量的情況之下,勁度表現能夠進一步提升。 本研究透過形狀最佳化與拓樸最佳化方法,應用於不同類型之薄殼結構,使最終設計結果能夠具有良好之結構勁度表現,藉此作為未來工程師設計薄殼結構時之參考依據。 Today's architecture is often designed based on aesthetics. Among them, it is more common to combine thin shell structures with streamlined designs and create a sense of open space. However, these designs based on aesthetics are not necessarily the most efficient designs. Therefore, this study will combine free-form surface technique and optimization theory to design a structure considering both appearance and good mechanical behavior. In this study, NURBS is used as a free-form surface construction method, and the surface shape is established through the coordinates of control points, node vectors and basis functions. Combined with optimization theory, the coordinates of control points are used as design variables to adjust the structure shape and construct the shape with the best objective function value. This study will also further explore the method of extending the application of shape optimization to support optimization. In addition to shape optimization, this study will also apply topology optimization in structural optimization. The most efficient material distribution location is gradually found by algorithm. The topology algorithm used in this study is BESO. Different examples will be used to demonstrate the problems of the existing BESO algorithm, and the solutions to these problems will be discussed. In this study, the topology optimization will be applied to the shape optimization result of thin shell structure to remove the inefficient materials from the structure and keep the efficient parts. Therefore, the materials in the structure can be allocated to the most efficient position for force transmission, and the overall structure performance in terms of stiffness can be further improved with the same amount of materials used. In this study, the shape optimization and topology optimization methods are applied to different kinds of thin-shell structures to achieve better stiffness performance. The final design will serve as a reference for future engineers when designing thin-shell structures. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/83151 |
DOI: | 10.6342/NTU202210079 |
全文授權: | 同意授權(全球公開) |
顯示於系所單位: | 土木工程學系 |
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U0001-0959221125371212.pdf | 13.19 MB | Adobe PDF | 檢視/開啟 |
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