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研究生: 林琮楠
Lin, Tsung-Nan
論文名稱: 撓曲主動薄版單元應用於輕量曲面結構之研究
A Study on Lightweight Curved Surface Structures Composed of Bending-Active Plate Units
指導教授: 杜怡萱
Tu, Yi-Hsuan
學位類別: 碩士
Master
系所名稱: 規劃與設計學院 - 建築學系
Department of Architecture
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 254
中文關鍵詞: 輕量結構撓曲主動結構薄版曲面系統模組化實構
外文關鍵詞: lightweight structure, bend-active structure, curved surface system, modularization, practical construction
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  •   在追求永續發展的目標下,節能減碳是相當重要的課題,構造輕量化也因此成為結構設計之趨勢。本研究以撓曲主動薄版曲面系統為主題,藉由彎曲薄版創造曲面效果,利用形抗原理達到構造輕量化,並根據前期研究之結論與建議,以提高整體結構剛度與簡化組構方式為目的,發展可由人力重複拆裝之模組式輕量空間結構。
      本研究之設計階段嘗試數種結構型態及接合方式,並使用縮尺模型檢討空間圍塑效果及構法可行性,發展出交錯橫向接合及交錯重疊栓接兩種系統,其中交錯重疊栓接系統之單元轉角無法以前期研究之經驗公式概算,故使用縮尺模型重新量測並推導出適用之單元轉角公式。
      設計過程中進行多次材料試驗,並根據試驗結果推導、計算材料撓曲容量及使用效益等輔助材料選擇之參數,最終選定平行纖維方向之3mm木夾板為主要材料;接著依照不同結構型態及接合方式,前後共搭建六座單向拱形實構模型,其中以交錯重疊栓接尖拱之結構表現最佳,該模型兩側曲面皆為單向等曲率以減少單元種類,於曲率不連續之頂部以搭接版連接,底部單元則局部補強再與合板製作之基礎卡接。
      為精準預測撓曲主動薄版曲面系統之應力分佈及可能破壞情形,本研究使用電腦結構分析軟體,並以數種假設與分析模式模擬此系統之結構行為;在模擬開槽單元應變之四種模型中,以ANSYS實體元素之應變分析結果最接近量測值,誤差約小於10%。本文以簡化SAP2000二維剛架元素建置橫向接合尖拱整體結構分析模型,與實際量測變形量比較,誤差約為70%~95%不等且無法呈現部分構件之挫屈情形,推測原因為簡化結構分析方式未考量單元撐開時之預應力與構件撓曲變形狀況,故發展出結合前述二者之疊加結構分析方法,此方法可檢驗出構件單元之不穩定情形,可用於輔助檢討整體結構之穩定性。

    The purpose of this study is to design an innovative lightweight structural system composed of reversible curved surface plate units through active bending. The original plates unit were bent and self-stabilized by inserting braces into precut parallel slits on the plates. Small-scale models were used to examine stability and constructability, and two structural system were developed, including staggered lateral connecting system and staggered overlapping bolting system. Among them, the unit curvature of the staggered overlapping bolting system cannot be estimated by the empirical formula of the previous study, so the small-scale model is used to re-measure and derive the applicable unit bent angle formula.

    The material bending capacity and usage efficiency which support the selection of material are derived and calculated based on the results of material test, and 3mm plywood that fiber direction paralleled with the slit was chosen as the main material. Six one-way arched full-size models were built in different structural types and connection detail, among which the pointed arch model of staggered overlapped bolting system has the best strength and stiffness.

    In order to predict the stress distribution and the failure mode accurately, this study uses computer structural analysis software to simulate the structural behavior. The strain analysis result of bent unit which simulated by ANSYS solid-element model is closest to the measured value, and the error is less than 10%. The overall models of lateral connecting pointed arch were simplified by the SAP2000 2-D rigid frame model, but it is unable to simulate the component buckling and the deformation error is about 70% to 95%. The possible reason is that the analysis method does not consider the pre-stress and the deflection deformation of bent unit. Therefore, a superimposed structure analysis method combining the above two is developed to examine the stability of the overall structure.

    圖目錄 V 表目錄 XV 第一章 緒論 1 1.1 研究背景與目的 1 1.1.1 研究動機 1 1.1.2 研究背景 1 1.1.3 系統問題檢討 8 1.1.4 研究目的 10 1.2 文獻回顧 11 1.3 研究方法與流程 17 1.4 章節概述 19 第二章 設計發展 20 2.1 栓接添版單元 20 2.2 開槽單元 22 2.2.1 交錯橫向接合 23 2.2.2 交錯重疊栓接 33 2.3 小結 36 第三章 材料及構件試驗 37 3.1 材料單位重量測 37 3.1.1 材料來源與設備 37 3.1.2 量測流程 38 3.1.3 量測結果 39 3.2 含水率試驗 40 3.2.1 材料來源與設備 40 3.2.2 量測流程 41 3.2.3 量測結果 42 3.3 薄版撓曲試驗 43 3.3.1 試體規劃 43 3.3.2 試驗設備 50 3.3.3 方法與過程 53 3.3.4 試驗結果 56 3.4 單元應變量測 65 3.4.1 試體規劃與製作 65 3.4.2 量測設備 69 3.4.3 方法與流程 69 3.4.4 量測結果 70 3.5 交錯重疊栓接單元轉角量測 77 3.5.1 試體規劃與製作 77 3.5.2 方法與流程 80 3.5.3 量測結果 82 3.5.4 其它可能變因 90 3.6 小結 93 第四章 構件應力分析 94 4.1 構件應力分析 94 4.1.1案例設定及結構分析方法 94 4.1.2分析結果與實際量測值比較 114 4.2 小結 142 第五章 實構及結構分析 143 5.1 交錯橫向接合系統 143 5.1.1 單元組構及收納 143 5.1.2 第一次實構 146 5.1.3 第二次實構 154 5.1.4 第三次實構 166 5.1.5 第四次實構 174 5.1.6 第五次實構 179 5.2 交錯重疊栓接系統 189 5.2.1 單元組構及收納 189 5.2.2 第六次實構 192 5.3 整體結構分析 206 5.3.1 基本單元假設 206 5.3.2 整體模型建置與邊界支承設定 209 5.3.3 邊版重疊處及局部補強處之模擬方式 212 5.3.4 分析模式 213 5.3.5 與實構結果比較 214 5.4 疊加結構分析 226 5.4.1 結構分析方法 226 5.4.2 變因設計 229 5.4.3 分析結果 231 5.5 小結 232 第六章 結論與建議 233 6.1 結論 233 6.2 建議 237 參考文獻 240 附錄A 整體結構分析結果 242

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