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論文中文名稱:鋼筋混凝土非線性結構動力分析之數值雜訊探討 [以論文名稱查詢館藏系統]
論文英文名稱:Numerical Noise in Reinforced Concrete Nonliner Structural Dynamic Analysis [以論文名稱查詢館藏系統]
院校名稱:臺北科技大學
學院名稱:工程學院
系所名稱:土木與防災研究所
畢業學年度:99
出版年度:100
中文姓名:李政達
英文姓名:Jheng-Da Li
研究生學號:97428071
學位類別:碩士
語文別:中文
口試日期:2011-07-21
論文頁數:62
指導教授中文名:楊元森
指導教授英文名:Yuan-Sen Yang
口試委員中文名:廖文義;吳俊霖
口試委員英文名:Wen-i Liao;Chiun-Lin Wu
中文關鍵詞:數值雜訊OpenSees
英文關鍵詞:OpenSeesNumerical Noise
論文中文摘要:有限元素結構分析之梁柱元素纖維斷面分析法(fiber section analysis)同時具有考量結構局部材料非線性與運算量需求低的特性,使的該方法近年來被廣為應用在結構之非線性動力數值模擬。然而,以此方法進行鋼筋混凝土結構分析時,梁柱元素內力反應經常會出現高頻而不正常的雜訊。這些雜訊並不符合結構物應有的物理行為,而是數值分析本身所造成的雜訊。這些雜訊的存在一方面可能表示數值模擬不夠準確,另一方面亦可能造成工程師對於結構元件內力的誤判,甚至導致後續不當的結構設計,而影響結構體的耐震性與安全性。
本研究對上述數值雜訊的發生原因進行仔細的探討與測詴,並提供避免雜訊的方法與建議。經由一系列的測詴顯示,雜訊產生最主要的原因是混凝土材料纖維區塊之數值模型在承受極限載重後發生瞬間破壞,產生不當的梁柱內力高頻訊號而導致分析結果的誤差。本研究使用美國太平洋地震工程研究中心研發的OpenSees 軟體,分別建構單柱鋼筋混凝土構架和兩層兩跨鋼筋混凝土構架,並採用 OpenSees 所提供的材料設定(material)、非線性梁柱元素搭配纖維斷面(fiber section)及分析方法(analysis options),來進行非線性動力歷時分析。本研究的非線性動力歷時分析考慮混凝土與鋼的非線性組成率,以及結構大位移非線性效應。
本研究設定不同的材料參數、地震力及收斂門檻,來模擬混凝土結構物在非線性動力分析時所産生的雜訊,並探討主要發生的原因及對分析結果的影響。最後,本研究會提出在 OpenSees 環境下最佳的參數設定參考值。
論文英文摘要:Finite element structural analysis of fiber section analysis method considering structural local nonlinear material and low operation has been widely applied to structural of nonlinear dynamic simulation in recent years. However, the beam column element internal reaction forces will cause abnormal high-frequency noises when using the method to do reinforced concrete structural analysis. These noises do not conform to physical behavior of the structural but numerical analyses. These noises may indicate numerical simulations is not accurate. It also may mislead engineers to make a wrong judgment for structural element internal forces, and even lead to improper structural design that affect the structural safety.
This research investigated and tested carefully in the reason motioned above then proposed methods and recommendations to avoid noises. After a series of testing, this research found that the reason causes noises is because concrete fiber sections break immediately when bearing extreme loads and induce improper beam force’s high-frequency signal to make analysis mistake. This research used OpenSees, which is made by Pacific Earthquake Engineering Research (PEER) Center to create a single-column reinforced concrete structure and two-story-two-span structure. This research used material, fiber section, and analysis options offered by OpenSees to analyze nonlinear dynamic analysis. This research’s nonlinear dynamic analysis considered concrete and steel’s constitutive laws of nonlinear composition and structure displacement non-linear effect. This research set different materials, earthquakes, and convergence rates to simulate RC structures’s noises when analyzing nonlinear dynamic analysis. This research investigated the major reason and the influence to analysis result. Finally, this research proposed the satisfactory parameter setting reference by using OpenSees.
論文目次:目 錄

中文摘要 I
英文摘要 III
誌謝 V
目錄 VI
表目錄 VIII
圖目錄 IX
第一章 導論 1
1.1 研究動機 1
1.2 研究目的與方法 1
1.3 論文架構 1
第二章 數值雜訊探討 3
2.1 雜訊的現象 3
2.2 雜訊的定義 4
2.2.1 何謂數值雜訊 4
2.2.2 數值雜訊的大小 5
第三章 模型分析規劃 6
3.1 結構的配置 6
3.1.1 單柱結構配置 6
3.1.2 兩層兩跨構架結構配置 7
3.2 OpenSees數值模型 11
3.2.1 單柱數值模型 11
3.2.2 兩層兩跨構架模型 17
3.3 地震歷時輸入 21
3.3.1 簡諧運動地震力 22
3.3.2 實際地震力 22
3.4 數值分析參數與觀察點 23
3.4.1 OpenSees分析參數 24
3.4.2 OpenSees觀察點設置 26
3.5 小結 27
第四章 不同參數設定對雜訊的影響與比較 28
4.1 不同材料參數 28
4.1.1 不同混凝土強度 28
4.1.2 不同主筋號數 37
4.1.3 不同阻尼比 43
4.1.4 不同纖維區塊 46
4.2 不同的分析參數 48
4.3 小結 56
第五章 雜訊解決方案 57
5.1 雜訊發生主要原因 57
5.2 建議參數設定 58
第六章 結論與建議 60
參考文獻 61
論文參考文獻:[1] Wikipedia, "雜訊," Wikimedia Foundation, Inc. Web address: http://zh.wikipedia.org/wiki/%E9%9B%9C%E8%A8%8A. Accessed: Jul. 1, 2011.
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[3] 林士涵,非韌性配筋鋼筋混凝土構架振動台實驗研究,碩士論文,國立台灣大學土木工程研究所,台北,台灣,2009。
[4] C. L. Wu and P. W. Weng, "Design of dynamic collapse testing system for 2-story reinforced concrete frames," Proceedings of the 3rd International Conference in Experimental Structural Engineering, SF, USA, 2009, pp. 3-6.
[5] F. McKenna, G. L. Fenves and S. Mazzoni, "Open System for Earthquake Engineering Simulation," Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA. Web address: http://opensees.berkeley.edu. Accessed: Jul. 20, 2011.
[6] I. D. Karsn and J. O. Jirsa, "Behavior of concrete under compressive loadings," Journal of the Structural Division, vol. 95, no. 12, 1969, pp. 2543-2563.
[7] 莊智雄,鋼筋混凝土剪力牆-構架互制初步數值分析,碩士論文,國立成功大學土木工程研究所,台南,台灣,2004。
[8] K. J. Elwood and J. P. Moehle, "Dynamic collapse analysis for a reinforced concrete frame sustaining shear and axial failures," Earthquake Engineering and Structural Dynamics, vol. 37, no. 7, 2008, pp. 991-1012.
[9] S. Yavari, K. J. Elwood and C. L. Wu, "Collapse of a nonductile concrete frame: evaluation of analysis models," Earthquake Engineering and Structural Dynamics, vol. 38, no. 2, 2009, pp. 225-241.
[10] C. L. Wu, Y. S. Yang and S. J. Hwang, "Collapse of a nonductile concrete frame: shaking table tests," Earthquake Engineering and Structural Dynamics, vol. 38, no. 2, 2009, pp. 205-224.
[11] 鄭全桓,RC構架磗牆側向推垮分析-使用 OpenSees軟體,碩士論文,國立暨南國際大學地震與防災工程研究所,南投,台灣,2005。
[12] M. S. Zadeh and M. S. Saiidi, "Pre-test analytical studies of NEESR-SG 4-span bridge model using opensees," CCEER-07-3, Center of Civil Engineering Earthquake Research, University of Nevada, Reno, NV, USA, 2007.
論文全文使用權限:同意授權於2011-08-24起公開