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研究生:陳瑋歆
研究生(外文):Wei-Hsin Chen
論文名稱:鋼筋混凝土梁反覆扭力分析模式
論文名稱(外文):Analytical Modeling for Reinforced Concrete Members under Cyclic Torsion
指導教授:鄭全桓
指導教授(外文):Chyuan-Hwan Jeng
學位類別:碩士
校院名稱:國立暨南國際大學
系所名稱:土木工程學系
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2007
畢業學年度:95
語文別:中文
論文頁數:53
中文關鍵詞:鋼筋混凝土反覆扭力扭轉角應力-應變曲線
外文關鍵詞:reinforced concretecyclic torsiontwistcyclic stress-strain relationship
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Softened Membrane Model for Torsion(簡稱SMMT)採用2002年Hsu and Zhu提出的剪力牆元素理論Softened Membrane Model(簡稱SMM) (Hsu and Zhu 2002),是最新的鋼筋混凝土梁扭力分析模式。然而,由於鋼筋混凝土構件在受到反覆扭力作用下,反覆的開裂及閉合會使鋼筋混凝土構件受到損害並降低構件的強度,所以使用分析受單向扭矩(monotonic torsion)的SMMT來分析鋼筋混凝土梁受到反覆扭力下的行為模式會高估鋼筋混凝土梁所能承受的最大扭力。因此,本研究之目的在於建立一新的分析模式以模擬鋼筋混凝土梁受到反覆扭力下的行為模式,Cyclic Softened Membrane Model for Torsion (簡稱CSMMT)。
本研究沿用Softened Membrane Model for Torsion (簡稱SMMT)的分析模式並使用SMMT的材料組成關係做為包絡曲線,再針對Cyclic Softened Membrane Model (簡稱CSMM) (Mansour and Hsu 2005) 的Damage coefficient、Hsu/Zhu ratio和其材料組成關係中卸載 (unload) 及覆載 (reload) 曲線進行校正,取得適用於梁扭力分析之參數,建立一能分析受反覆扭矩RC梁的分析模式。
實驗驗證中,研究中將CSMMT的分析結果與五組實驗數據做比對,其中四筆來自郭書呈(1995),另一取自N. Kawaguchi等人(2002),用以檢核本研究之模式,以確定此分析模式的適用性。
The Softened Membrane Model for Torsion (SMMT), extended from the Softened Membrane Model (SMM) (Hsu and Zhu 2002) for shear panels, has been developed for RC members under pure torsion (Jeng et al., 2005; 2006; 2007). The SMMT can predict the behavior of RC members subjected to monotonic torsion. However, the SMMT may slightly overestimate the torques when applied to cyclic torsion. In this study a new analytical model, referred to as Cyclic Softened Membrane Model for Torsion (CSMMT), is proposed to predict the behavior of RC members subjected to cyclic torsion.
The CSMMT is an extension of the SMMT with three primary modifications incorporated. First, the damage coefficient proposed in the Cyclic Softened Membrane Model (CSMM) (Mansour and Hsu 2005) for shear panels is modified and used in the CSMMT; second, a modified Hsu/Zhu ratio is employed; third, a new set of unloading and reloading branches of the stress-strain relationship of concrete is proposed and incorporated.
The proposed CSMMT is used to analyze five tested specimens found from literature. Parametric study is also conducted to validate the analytical model as well as the model parameters. The comparison of the analytical results with experimental data indicates reasonably acceptable accuracy of the CSMMT.
第一章 緒論 1
1.1 前言 1
1.2 文獻回顧 2
1.3 研究動機及目的 2
1.4 論文內容 3
第二章 分析模式 5
2.1 前言 5
2.2 平衡條件(Equilibrium Condetion) 5
2.3 諧合條件(Compatibility Condition) 7
2.4 單軸應變與雙軸應變之關係 8
2.5 材料組成率(Constitutive Laws) 11
2.5.1 混凝土正向應力-正向應變關係曲線 11
2.5.2 鋼筋的應力-應變關係曲線 23
2.5.3 混凝土剪應力-剪應變關係 25
2.6 分析流程 25
第三章 模式參數效應 28
3.1 前言 28
3.2 Hsu/Zhu Ratio 28
3.3 Damage Coefficient 32
第四章 材料組成律效應 39
4.1 前言 39
4.2 混凝土壓應力-壓應變關係曲線 40
4.2.1 Unloading branch 40
4.2.2 Reloading branch 43
第五章 分析結果 47
第六章 結論與建議 52
6.1 結論 52
6.2 建議 53
參考文獻
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9.Hsu, T. T. C., 1993, Unified Theory of Reinforced Concrete, CRC Press, Boca Raton, Fla., 313 pp.
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12.Jeng, Chyuan-Hwan, 2002, “Nonlinear Finite Fiber Element Analysis for Static and Dynamic Simulation of Concrete Frames: Modeling, Implementation, and Application,” 休斯頓大學土木與環境工程系博士論文, Aug.
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14.Jeng, Chyuan-Hwan, Hsu, T. T. C., and Shih, J-R, 2006, “New Softened Membrane Model for Torsion,” 中華民國第八屆結構工程研討會,9月1~3日,台灣南投。
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22.郭書呈,1995,高強度混凝土梁在單向及反覆純扭力作用下之行為研究,國立成功大學土木工程研究所碩士論,六月。
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