簡易檢索 / 詳目顯示

回結果列表
研究生： 陳厚揚
Hou-Yang Chen
論文名稱： 數位化皮層系統設計及開發－以台北大巨蛋屋頂為例
Computational Design and Development of Envelope System - A case study of Taipei Dome’s roof
指導教授： 施宣光
Shen-Guan Shih
口試委員: 許志霖
Chih-Lin Hsu
蔡欣君
Shin-Jyun Tsaih
學位類別： 碩士
Master
系所名稱： 設計學院 - 建築系
Department of Architecture
論文出版年： 2018
畢業學年度： 106
語文別： 中文
論文頁數： 88
中文關鍵詞： 建築皮層 、參數化 、單曲面 、直紋曲面 、可展開曲面
外文關鍵詞： Building envelope, parameterization, single curvature surface, ruled surface, developable surface
相關次數： 點閱：693  下載：50 
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

    • 本研究以台北大巨蛋為案例，使用 Grasshopper for Rhinoceros 進行屋頂皮層系
    統的參數化開發。將原始幾何資料如 Polylines 和 Curves 等，以及非幾何資訊，經過
    整理、簡化、規則化、重繪等程序產生參考曲面、零件模型以及屋面鈑模擬。

    由開發及驗算過程得知，曲線經過處理成為構成曲面的 UV 曲線，以 Network
    Surface 的方式繪製，其偏差可控制在 1mm 以下；B-rep 的零件在簡化之後，其幾何
    與非幾何資訊能被大量處理；在本案例的設計造型下，若以同時是單曲面、直紋曲面
    及可展開曲面的正圓錐面來模擬金屬材質雙曲屋面鈑，其平均偏差在 12mm 以下，最
    大偏差在 55mm 以下；故在設計階段幾何規則性、可描述性越高，後續分析、運算效
    率也越高。

    This paper took Taipei Dome as an example, using Grasshopper for Rhinoceros
    to develop a parametric system for its roof. By went through sorting, simplifying,
    organizing and rebuilding processes, the original geometric inputs, polylines,
    curves as well as non-geometric inputs, became the referenced surface, pieces
    models and simulated panels.

    From the development and verification processes, using curves which were
    processed into UV curves to build Network Surface, the proximities between
    curves and surface can be controlled within 1mm. The geometric and nongeometric
    information of B-rep pieces can be massive processing after simplified.
    In the appearance of this case, a right circular conical surface with
    single curvature, ruled surface and developable surface were used to simulate
    double curvature panels, the average proximities between single and double
    curvature panels were under 12mm, and the maximum were less than 55mm.
    Thus the higher geometrical regularity in the early design, the better analysis and
    computational efficiency can be achieved in the later stage.

    1 緒論·····················································1 1.1. 研究背景與目的·········································1 1.2. 研究方法與流程·········································1 2 前期作業·················································2 2.1. 案例判讀··············································2 2.1.1. 結構體 ·············································2 2.1.2. 皮層系統············································4 2.2. 問題與解決項目········································6 2.2.1. 放樣基準面 ·········································6 2.2.2. 零件放樣············································6 2.2.3. 屋面鈑模擬 ·········································7 2.3. 文獻回顧··············································8 2.3.1. 曲面幾何············································8 2.3.2. 單曲面演算 ·········································8 2.4. 解決方案確立··········································10 3 程式開發·················································11 3.1. 放樣基準面············································11 3.1.1. 方向分類···········································12 3.1.2. 依附 Grid··········································12 3.1.3. 垂直平面對齊········································13 3.1.4. L,R 交點 ··········································13 3.1.5. UV 網格 ···········································14 3.1.6. 控制點均化 Interpolate Curves ······················14 3.1.7. Network Surface ···································15 3.2. 零件放樣··············································16 3.2.1. 下層次結構零件放樣···································17 3.2.1.1. 切斷、細胞化······································18 3.2.1.2. 細胞邊緣排序······································18 3.2.1.3. 條件選取·········································19 3.2.1.3.1. 條件選取 1(範圍線) ·····························19 3.2.1.3.2. 條件選取 2(坡度) ·······························19 3.2.1.3.3. 條件選取 3(坡向) ·······························20 3.2.1.3.4. 條件選取 4(序號) ·······························20 3.2.1.4. 切向量工作平面····································21 3.2.1.5. 建立第 1 階層點零件幾何(立柱、C 鋼連接件)···········21 3.2.1.6. 放樣第 1 階層點零件 (立柱、C 鋼連接件)··············22 3.2.1.7. 拆解第 1 階層點零件幾何(立柱、C 鋼連接件)···········22 3.2.1.8. 第 2 階層零件放樣··································23 3.2.1.8.1. 第 2 階層點零件 1 放樣(拱頭)·····················23 3.2.1.8.2. 第 2 階層點零件 2 放樣(C 鋼連接件立柱端) ·········23 3.2.1.9. 建立第 3、5 階層線零件(抗風樑、C 鋼) ···············23 3.2.1.10. 抗風樑上工作平面··································23 3.2.1.11. 放樣抗風樑上的第 4 階層點零件······················23 3.2.1.12. 排序線第 4 階層點零件·····························23 3.2.1.13. 建立點、線零件的頂面······························24 3.2.2. 上層支撐座零件放樣···································24 3.2.2.1. 排序分割線········································24 3.2.2.2. 平行曲面··········································24 3.2.2.3. 過濾頂面··········································25 3.2.2.4. 頂面工作平面······································25 3.2.2.5. 平行曲線··········································25 3.2.2.6. 法向量工作平面·····································25 3.2.2.7. 放樣平面···········································26 3.2.2.8. 文字平面···········································26 3.2.2.9. M1 資訊整合········································26 3.2.2.10. M3 資訊整合·······································26 3.3. 屋面鈑模擬·············································27 3.3.1. 排列模擬·············································27 3.3.1.1. 排序分割線·········································28 3.3.1.2. 偏移分割線·········································28 3.3.1.3. 分割工作平面·······································28 3.3.1.4. 分割邊緣···········································29 3.3.1.5. 邊緣配對···········································29 3.3.2. 單曲面模擬 ··········································29 3.3.2.1. 平行邊緣···········································30 3.3.2.2. 正圓錐曲線·········································30 3.3.2.3. 切圓為弧···········································31 3.3.2.4. 產生單曲面·········································31 3.4. 小結 ··················································31 4 運算成果及驗算·············································33 4.1. 放樣基準面成果及驗算····································33 4.2. 零件放樣成果及驗算······································36 4.3. 屋面鈑模擬成果及驗算·····································37 5 結論及建議·················································40 5.1. 結論 ··················································40 5.1.1. 放樣基準面 ···········································40 5.1.2. 零件放樣··············································40 5.1.3. 屋面鈑模擬 ···········································40 5.1.4. 綜合性 ··············································40 5.2. 建議 ··················································41 5.2.1. 放樣基準面 ··········································41 5.2.2. 零件放樣·············································41 5.2.3. 屋面鈑模擬 ··········································41 5.2.4. 綜合性 ··············································41 參考資料····················································42 附錄························································43

    (1) 廣懋材料科技股份有限公司網站 http://www.gomore.com.tw/
    (2) Pottman, H., Asperl, A., Hofer, M., & Kilian, A. (2007). Architectural Geometry, Bentley Institute Press.
    (3) Liu, Y., Pottmann, H., Wallner, J., Yang, Y. L., & Wang, W. (2006). Geometric Modeling with Conical Meshes and Developable Surfaces, ACM SIGGRAPH 2006 Papers, Pages 681-689 .
    (4) Pottmann, H., Schiftner, A., Bo, P., & Schmiedhofer, H. (2008). Freeform surfaces from single curved panels, ACM SIGGRAPH 2008 papers, Article No. 76 .
    (5) Wallner, J., Schiftner, A., Kilian, M., Flory, S., Hobinger, M., Deng, B., Huang, Q., & Pottmann, H. (2010). Tiling freeform shapes with straight panels: Algorithmic methods., Advances in Architectural Geometry 2010, Article No. 5.
    (6) Eigensatz, M., Kilian, M., Schiftner, A., Mitra, N., Pottmann, H., & Pauly, M. (2010). Paneling Architectural Freeform Surfaces, ACM SIGGRAPH 2010 Papers, Article No. 45 .

    QR CODE