系統識別號 | U0002-1507201923534300 |
---|---|
DOI | 10.6846/TKU.2019.00409 |
論文名稱(中文) | 摺疊模型之實作與結構力學分析 |
論文名稱(英文) | Implementation and Structural Mechanics Analysis of Origami Folding Models |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 土木工程學系碩士班 |
系所名稱(英文) | Department of Civil Engineering |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 107 |
學期 | 2 |
出版年 | 108 |
研究生(中文) | 鄧佳怡 |
研究生(英文) | Jia-Yi Deng |
學號 | 606380029 |
學位類別 | 碩士 |
語言別 | 繁體中文 |
第二語言別 | |
口試日期 | 2019-06-27 |
論文頁數 | 104頁 |
口試委員 |
指導教授
-
王建凱
委員 - 王建凱 委員 - 董奕鍾 委員 - 李家瑋 |
關鍵字(中) |
摺疊結構 摺紙 泊森比 勁度 應變 |
關鍵字(英) |
Origami structures structural mechanics origami simulation poisson’s ratio stiffness folding strain |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
摺疊結構為結構力學與工程科學之一新興研究領域,其優點在於透過摺疊單元的配置,得以調整結構本身的勁度,進而達到更好的結構承載效率,並且因為其摺疊紋理的特殊結構型式,結構除能收縮至一定的限制空間大小外,亦能使得結構大幅增進承載之能力。摺疊結構,為現代創新結構設計的代表之一,從大型的人造衛星天線的「三浦摺疊」結構,乃至山毛櫸樹葉的摺疊結構,小至蛋白質分子也擁有摺疊結構,並發揮其效用。結構經摺疊後,可以改變其勁度(或柔度),以此為增強原有系統的機械力學與空間使用之性能。 本研究對多個摺疊模組進行摺疊分析,摺疊結構模擬計有:Miura、Eggbox、Flower Tower、Hypar、Whirlpool、Huffman Stars-Triangles、Waterbomb、Lang Wedged Double Faced Tessellation、Lang KNL Dragon、Kirigami Honeycomb,尤以Miura與Eggbox為主,除對摺疊紋理形成過程做一詳細觀察外,更以結構力學的角度,探討系統在各摺疊程度狀態下,所具有之不同力學性能,本研究針對了摺疊單元各方向之勁度:含有摺痕軸勁度(Axial Stiffness)、摺面面部勁度(Face Stiffness)、摺痕摺疊勁度(Fold Stiffness)、摺面摺疊勁度(Facet Crease Stiffness),對具不同摺疊比例狀態結構之影響進行探討,當中結構力學性質影響是以泊森比(Poisson’s ratio)數據做一完整呈現與比較。 |
英文摘要 |
The folded structure is an emerging research field in structural mechanics and engineering science. Its advantage is that the stiffness of the structure itself can be adjusted through the configuration of the folding unit, thereby achieving better structural bearing efficiency, and because of the special structure of the folded texture, In addition to shrinking the structure to a certain size of the restricted space, the structure can also greatly enhance the capacity of the structure. Folding structure, one of the representatives of modern innovative structure design, from the "Sanpu folding" structure of large artificial satellite antennas, to the folding structure of beech leaves, as small as protein molecules also have a folded structure and exert its utility. After the structure is folded, its stiffness (or flexibility) can be changed to enhance the mechanical and spatial performance of the original system. In this study, multiple folding modules were analyzed for folding. The folding structure simulations were: Miura, Eggbox, Flower Tower, Hypar, Whirlpool, Huffman Stars-Triangles, Waterbomb, Lang Wedged Double Faced Tessellation, Lang KNL Dragon, and Kirigami Honeycomb. Based on Miura and Eggbox, in addition to a detailed observation of the folding texture formation process, the mechanical properties of the system are discussed in terms of structural mechanics. The study is aimed at the various directions of the folding unit. Stiffness: Axial Stiffness, Face Stiffness, Fold Stiffness, Facet Crease Stiffness, different folds. The influence of the proportional state structure is discussed. Among them, the influence of structural mechanics is a complete presentation and comparison with Poisson's ratio data. |
第三語言摘要 | |
論文目次 |
目錄 第一章、導論 1 1-1 研究動機 1 1-2 研究目的 2 1-3 文獻回顧 3 1-4 研究內容 4 第二章、摺疊結構理論 5 2-1 紋理結構 5 2-1-1 摺疊結構–Miura(三浦摺疊) 8 2-1-2 摺疊結構–Eggbox 9 2-1-3 摺疊結構–Flower Tower 10 2-1-4 摺疊結構–Hypar 11 2-1-5 摺疊結構–Whirlpool(渦流) 12 2-1-6 摺疊結構–Huffman Stars-Triangles 13 2-1-7 摺疊結構–Waterbomb 14 2-1-8 摺疊結構–Lang Wedged Double Faced Tessellation 14 2-1-9 摺疊結構–Lang KNL Dragon 15 2-1-10 摺疊結構–Kirigami Honeycomb 16 2-2摺疊模型製造之程式開發- MATLAB 16 2-3摺疊軟體Origami Simulator介紹 17 2-4泊森比 20 第三章、摺疊結構軟體操作 22 3-1 摺疊生成軟體MATLAB操作 23 3-2 摺疊軟體Origami Simulator之操作 24 3-5本章小結 27 第四章、摺疊結構模擬成果 28 4-1摺疊結構–Miura 28 4-1-1泊森比-Miura 30 4-2 摺疊結構–Eggbox 43 4-2-1泊森比(Poisson’s Ratio,ν)-Eggbox 45 4-3 摺疊結構–Flower Tower 66 4-4 摺疊結構–Hypar 71 4-5 摺疊結構–Whirlpool 76 4-6 摺疊結構–Huffman Stars-Triangles 78 4-7 摺疊結構–Waterbomb 83 4-8摺疊結構–Lang Wedged Double Faced Tessellation 87 4-9 摺疊結構–Lang KNL Dragon 92 4-10 摺疊結構–Kirigami Honeycomb 94 第五章、結論與展望 99 5-1 結論 99 5-2 展望 99 參考文獻 101 圖目錄 圖一 摺疊結構綜觀 2 圖二 本研究摺疊結構模擬圖 7 圖三 Miura結構伸縮圖 8 圖四 Miura三明治結構圖 9 圖五 Eggbox摺疊結構圖 10 圖六 衛星面板的摺紙圖與Flower Tower摺紙模擬圖對比 11 圖七 Hypar摺疊結構摺線圖 12 圖八 Whirlpool摺疊結構摺痕圖 13 圖九 Huffman Stars-Triangles摺疊結構摺痕圖 13 圖十 Waterbomb摺疊結構摺痕圖 14 圖十一 Lang Wedged Double Faced Tessellation摺疊結構摺痕圖 15 圖十二 Lang KNL Dragon摺疊結構摺痕圖 15 圖十三 Lang KNL Dragon摺疊結構的改變 16 圖十四 Kirigami Honeycomb摺疊結構摺痕圖 16 圖十五 軟體MATLAB頁面圖 17 圖十六 摺疊軟體Origami Simulator頁面圖 18 圖十七 簡易摺疊圖 18 圖十八 摺疊結構單元各方向勁度之說明與示意圖 18 圖十九 摺疊結構單元各方向勁度之影響示意圖 20 圖二十 橫向應變、縱向應變示意圖 21 圖二十一 摺疊結構生成模擬步驟一 22 圖二十二 摺疊結構生成模擬步驟二 23 圖二十三 摺疊軟體Origami Simulator之操作步驟 24 圖二十四 摺疊軟體Origami Simulator設定畫面 25 圖二十五 摺峰、摺谷與邊界顏色設定顯示圖 26 圖二十六 Miura摺疊結構之摺疊檢核 30 圖二十七 Miura橫向應變及縱向應變與摺疊比率之變化圖 32 圖二十八 Miura摺疊結構之摺疊比率與泊松比之關係圖 32 圖二十九 Miura橫向應變及縱向應變與摺痕軸勁度之變化圖 34 圖三十 Miura摺疊結構之摺疊比率與泊松比之關係圖 35 圖三十一 Miura橫向應變及縱向應變與摺面面部勁度之變化圖 37 圖三十二 Miura結構之面部勁度與泊森比關係 37 圖三十三 Miura橫向應變及縱向應變與摺痕摺疊勁度之變化圖 39 圖三十四 Miura橫向應變及縱向應變與摺面摺疊勁度之變化圖 41 圖三十五 Miura結構之摺面摺疊勁度與泊松比關係圖 42 圖三十六 Eggbox摺疊結構之摺疊檢核 45 圖三十七 Eggbox摺疊結構應變與摺疊比率之變化 46 圖三十八 Eggbox摺疊結構之摺疊比率與泊松比之關係圖 47 圖三十九 Eggbox橫向應變及縱向應變與軸勁度(Axial Stiffness)之變化圖 49 圖四十 軸勁度與泊森比關係 49 圖四十一 Eggbox摺疊結構摺疊比率0%時之模擬圖 50 圖四十二 Eggbox橫向應變及縱向應變與摺面面部勁度之變化圖 52 圖四十三 Eggbox結構之面部勁度與泊森比關係圖 52 圖四十四 Eggbox結構之面部勁度與泊森比關係 54 圖四十五 Eggbox結構之面部勁度與泊森比關係 54 圖四十六 Eggbox橫向應變及縱向應變與摺疊勁度(Fold Stiffness)之變化圖 56 圖四十七 Eggbox結構之摺痕摺疊勁度與泊森比關係圖 57 圖四十八 Eggbox結構之摺疊勁度與泊森比關係 58 圖四十九 Eggbox結構之摺痕摺疊勁度與泊森比關係 59 圖五十 Eggbox橫向應變及縱向應變與摺面摺痕勁度(Facet Crease Stiffness)之變化圖 61 圖五十一 Eggbox結構之摺面摺痕勁度與泊森比狀況 61 圖五十二 Eggbox橫向應變及縱向應變與摺面摺痕勁度(Facet Crease Stiffness)之變化圖 63 圖五十三 Eggbox結構之摺面摺痕勁度與泊森比狀況 63 圖五十四 Eggbox橫向應變及縱向應變與摺面摺痕勁度(Facet Crease Stiffness)之變化圖 65 圖五十五 Eggbox結構之摺面摺痕勁度與泊森比狀況 65 圖五十六 Flower Tower摺疊結構之摺疊檢核 67 圖五十七 Flower Tower橫向應變及縱向應變與摺疊比率之變化圖 70 圖五十八 Flower Tower摺疊結構之摺疊比率與泊松比之關係圖 70 圖五十九 Hypar摺疊結構之摺疊檢核 72 圖六十 Hypar橫向應變及縱向應變與摺疊比率之變化圖 75 圖六十一 Hypar摺疊結構之摺疊比率與泊松比之關係圖 75 圖六十二 Whirlpool摺疊結構之摺疊檢核 77 圖六十三 Huffman Stars-Triangle摺疊結構之摺疊檢核 80 圖六十四 Huffman Stars-Triangle橫向應變及縱向應變與摺疊比率之變化圖 82 圖六十五 Huffman Stars-Triangle摺疊結構之摺疊比率與泊松比之關係圖 82 圖六十六 Waterbomb摺疊結構之摺疊檢核 84 圖六十七 Waterbomb橫向應變及縱向應變與摺疊比率之變化圖 86 圖六十八 Waterbomb摺疊結構之摺疊比率與泊松比之關係圖 87 圖六十九 Waterbomb摺疊結構之摺疊檢核 89 圖七十 Lang Wedged Double Faced Tessellation橫向應變及縱向應變與摺疊比率之變化圖 91 圖七十一 Lang Wedged Double Faced Tessellation摺疊結構之摺疊比率與泊松比之關係圖 92 圖七十二 Lang KNL Dragon摺疊結構之摺疊檢核 94 圖七十三 Kirigami Honeycomb摺疊結構之摺疊檢核 96 圖七十四 Kirigami Honeycomb橫向應變及縱向應變與摺疊比率之變化圖 98 圖七十五 Kirigami Honeycomb摺疊結構之摺疊比率與泊松比之關係圖 98 表目錄 表一 摺疊軟體Origami Simulator設定面顏色、設定摺疊最大應變量 25 表二 摺疊軟體Origami Simulator設定面部顏色、設定最大應變量 26 表三 Miura結構橫向應變及縱向應變與摺疊比率之變化 30 表四 Miura結構之軸勁度與應變狀況 33 表五 Miura結構之面部勁度與應變狀況 36 表六 Miura摺痕摺疊勁度與應變狀況 38 表七 Miura結構之摺痕摺疊勁度與泊森比關係圖 39 表八 Miura摺面摺疊勁度與應變狀況 40 表九 Eggbox橫向應變、縱向應變即泊森比與摺疊比率之變化 46 表十 Eggbox軸勁度(Axial Stiffness)與應變狀況 48 表十一 Eggbox結構之面部勁度(Face Stiffness)與應變狀況 51 表十二 Eggbox結構之面部勁度(Face Stiffness)與應變狀況 53 表十三 Eggbox結構之摺痕摺疊勁度與應變狀況 55 表十四 Eggbox結構之摺痕摺疊勁度(Fold Stiffness)與應變狀況 57 表十五 Eggbox結構之摺面摺痕勁度(Facet Crease Stiffness)與應變狀況 60 表十六 Eggbox結構之摺面摺痕勁度(Facet Crease Stiffness)與應變狀況 62 表十七 Eggbox結構之摺面摺痕勁度(Facet Crease Stiffness)與應變狀況 64 表十八 Flower Tower結構橫向應變及縱向應變與摺疊比率之變化 68 表十九 Hypar結構橫向應變及縱向應變與摺疊比率之變化 73 表二十 Huffman Stars-Triangle結構橫向應變及縱向應變與摺疊比率之變化 81 表二十一 Waterbomb結構橫向應變及縱向應變與摺疊比率之變化 85 表二十二 Lang Wedged Double Faced Tessellation結構橫向應變及縱向應變與摺疊比率之變化 90 表二十三 Kirigami Honeycomb結構橫向應變及縱向應變與摺疊比率之變化 97 |
參考文獻 |
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