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研究生: 王得嘉
Wang, De-Jia
論文名稱: 3D列印單元所組成類蜂巢結構之力學分析
Stress Analysis on Honeycomb-like Structures Composed of 3D Printing Units
指導教授: 黃忠信
Huang, Jong-Shin
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: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 62
中文關鍵詞: 3D列印最小重複單元相對密度類蜂巢結構降伏強度
外文關鍵詞: 3D Printing, Representative Unit, Cell Geometry, Honeycomb-like Structure, Yielding Strength
相關次數: 點閱:153下載:25
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  • 本研究主要探討藉由3D列印,製作類蜂巢結構之最小重複單元,並將各最小重複單元加以彼此連接。首先,討論類蜂巢二維結構在不同蜂巢形狀下受到單軸壓應力作用時之力學行為,利用有限元素軟體ABAQUS進行數值分析,並探討由混凝土、鋁合金及鋼鐵這三種不同材質組成的類蜂巢二維結構,於單一壓應力作用下,發生降伏與破壞情形。此外,探討類蜂巢形狀構成的富勒穹頂(Geodesic Dome)三維結構,在不同形狀,且由混凝土、鋁合金及鋼鐵這三種不同材質構成之結構,受到自重與風力作用後,應力作用與發生降伏情形。

    In the study, different honeycomb-like structures were formed by connecting regularly and repeatedly many minimal representative units which were made by using 3D printing technique. At first, the mechanical behavior of the two-dimensional honeycomb-like structures with various cell geometries subjected to a uniform uniaxial compressive stress was analyzed numerically by using the finite element commercial package ABAQUS. Moreover, the uniaxial compressive yielding strengths and failure mechanisms of the two-dimensional honeycomb-like structures made from concrete, aluminum alloy and steel were investigated and then compared to evaluate the effect of cell geometry. At the same time, the three-dimensional honeycomb-like structures with different cell geometries, namely geodesic domes, were produced by connecting the minimal representative units in a three-dimensional arrangement. Similarly, the yielding strengths and failure mechanisms of the three-dimensional geodesic domes made from concrete, aluminum alloy and steel under the loadings of dead weight and wind pressure were also analyzed numerically, respectively.

    摘要 I 目錄 X 表目錄 XII 圖目錄 XIII 第1章 緒論 1 1.1 研究動機與目的 1 1.2 研究內容與組織 3 第2章 文獻回顧與整理 5 2.1 蜂巢材料相對密度與的力學性質 5 2.2 無限域蜂巢材料於單一應力作用下力學行為 8 2.3 蜂巢材料變形機制 9 第3章 類蜂巢二維結構 18 3.1 3D列印 18 3.2 模型幾何結構說明及相對密度計算 19 3.3 數值分析模型建立方法及參數設定 21 3.3.1 材料性質及元素種類 21 3.3.2 邊界條件設定 23 3.4 類蜂巢二維結構桿件承受之彎矩 24 3.4.1 類蜂巢二維結構桿件於不同邊界條件下承受彎矩之比較 25 3.4.2 類蜂巢二維結構桿件於不同的t / l值下所承受彎矩之比較 26 3.5 不同幾何形狀及材質類蜂巢二維結構降伏應力分析 27 第4章 富勒穹頂類蜂巢三維結構 46 4.1 模型幾何結構說明 46 4.2 參數設定與邊界條件 48 4.2.1 材料性質與元素種類 48 4.2.2 分析步驟 49 4.3 不同Φ2值的富勒穹頂承受風壓及自重下的降伏情形 50 第5章 結論與建議 60 5.1 結論 60 5.2 建議 61 參考文獻 62

    [1] C. H Chuang and J. S. Huang, “Yield surfaces for hexagonal honeycombs with plateau borders under in-plane biaxial loads,” Acta Mechanica 159, 157-172(2002)
    [2] L. J. Gibson and M. F. Ashby, “Cellular Solid: Structure and properties,”2nd edition, Cambridge University Press, 1997.
    [3] A. E. Simone and L. J. Gibson, “Effects of solid distribution on the stiffness and strength of metallic foams,” Acta Materialia Vol.46,No.6,2139-2450,1998.
    [4] 林金源, “微構件變剖面對蜂巢與泡沫材料依時性質之影響,”土木工程研究所 博士論文,2004.
    [5] ABAQUS/CAE 6.14 User's Guide http://130.149.89.49:2080/v6.14/books/usi/default.htm
    [6]  108建築物耐風設計規範之基本設計風速修訂研究成果報告 https://www.abri.gov.tw/News_Content_Table.aspx?n=807&s=140205
    [7] The engineering toolbox, Wind Load vs. Wind speed https://www.engineeringtoolbox.com/wind-load-d_1775.html

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