鋼支撐滯回曲線的模擬方法*
劉慶志，趙作周，陸新征，錢稼茹
- 摘 要
-
（清華大學(xué)土木工程系土木工程安全與耐久教育部重點實驗室，北京 100084）［摘要］鋼支撐滯回曲線主要有三種模擬方法：現(xiàn)象描述法、有限元法和塑性鉸法。在分析了各模擬方法優(yōu)劣的基礎(chǔ)上，提出一種新型的基于現(xiàn)象描述法的支撐模型。該模型通過一系列控制參數(shù)來包絡(luò)鋼支撐復(fù)雜的滯回曲線，并根據(jù)已有的同類型支撐試驗結(jié)果標(biāo)定控制參數(shù)。研究表明，該模型具有較高的模擬精度及計算效率，解決了早期基于現(xiàn)象描述法支撐模型模擬結(jié)果較為粗糙的問題。此外，為研究通用性更高的支撐模型，還提出了一種纖維支撐模型。該模型在跨中引入初始幾何缺陷以模擬鋼支撐的屈曲及屈曲后滯回特性，模型參數(shù)僅涉及支撐的幾何及材料特性而易于確定。分析表明，該模型能滿足多尺度整體結(jié)構(gòu)分析的精度要求。兩種模擬方法可應(yīng)用于帶支撐結(jié)構(gòu)的地震反應(yīng)分析和設(shè)計。［關(guān)鍵詞］鋼支撐；滯回曲線；現(xiàn)象描述法；纖維模型；塑性鉸法中圖分類號：TU391文獻(xiàn)標(biāo)識碼：A文章編號：1002-848X(2011)08-0063-05Simulation methods for hysteretic curve of steel bracesLiu Qingzhi, Zhao Zuozhou, Lu Xinzheng, Qian Jiaru(Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing 100084, China)Abstract:Three simulation methods for hysteretic curve of steel braces, including phenomenological description method, finite element method and plastic-hinge method, were reviewed. A new brace model based on phenomenological description method was proposed. This model contains a series of governing variables to envelop the complicated hysteretic curve of steel braces and the governing variables can be calibrated by available test results. Simulation results of some available test data prove that this model is more accurate and proficient than those previous brace models based on phenomenological description method. Furthermore, in order to study a more generous brace model, a fiber brace model was demonstrated as well. In this model, certain geometric initial imperfection in the middle of a brace is required to simulate its buckling and post buckling hysteretic characters. The variables of the model are only geometry and material characters of the brace and can be easily determined. The analytical results show that the fiber brace model is precise enough to carry out integral structure analysis under multi-scale requirement. The proposed two models can be used in analysis and design of a structure system containing braces under earthquake excitation.Keywords:steel brace; hysteretic curve; phenomenological description method; fiber model; plastic hinge method* 十一五國家科技支撐計劃項目(2009BAJ28B01)。作者簡介：劉慶志，碩士研究生，Email:liuqingzhi1986@gmail.com。參考文獻(xiàn)［1］MARTINELLI LUCA, MULAS MARIA GABRIELLA, PEROTTI FEDERICO. The seismic behavior of steel moment-resisting frames with stiffening braces［J］. Engineering Structures, 1998,20(12): 1045-1062.［2］蔡益燕 考慮塑性鉸外移的鋼框架梁柱連接設(shè)計［J］. 建筑結(jié)構(gòu)，2004,34(2):3-5.［3］楊強躍，鄭悅. 鋼框架梁柱節(jié)點連接方式的介紹與分析［J］. 建筑結(jié)構(gòu)，2004,34(6):44-48.［4］MARINO EDOARDO M, NAKASHIMA MASAYOSHI. Seismic performance and new design procedure for chevron-braced frames［J］. Earthquake Engineering and Structural Dynamics, 2006,35(4):433-452.［5］BLACK R G, WENGER W A B, POPOV E P. Inelastic buckling of steel strut under cyclic load reversals［R］. Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif., 1980.［6］NILFOROUSHAN R. Seismic behavior of multistory K-braced frame structures［D］. Michigan: University of Michigan, Ann Arbor, 1973.［7］IKEDA K, MAHIN S A. Cyclic response of steel braces［J］. Journal of Structural Engineering, 1986,112(2):242-261.［8］李國強，謝衛(wèi)兵，沈祖炎. 高層支撐鋼框架彈塑性地震反應(yīng)簡化分析模型［J］. 建筑結(jié)構(gòu)，1996,26(11):3-6.［9］連尉安,張耀春. 鋼支撐滯回性能模擬及疲勞壽命評估［J］. 鋼結(jié)構(gòu)，2002(S)：350-355.［10］申林.高層結(jié)構(gòu)鋼支撐滯回性能分析及抗震設(shè)計對策［D］.西安：西安建筑科技大學(xué)，2000.［11］REMENNKOV ALEXANDER M, WALPOLE WARREN R. Modelling the inelastic cyclic behaviour of a bracing member for work-hardening material［J］. International Journal of Solids and Structures,1997,34(27):3491-3515.［12］DAVARAN ALI, FAR NARGES EASAZADEH. An inelastic model for low cycle fatigue prediction in steel braces［J］. Journal of Constructional Steel Research, 2009,65(3):523-530.［13］DICLELI MURAT, CALIK ERTUGRUL EMRE. Physical theory hysteretic model for steel braces［J］. Journal of Structural Engineering, 2007,134(7):1215-1228.［14］JUN JIN, SHERIF EL-TAWIL. Inelastic cyclic model for steel braces［J］. Journal of Engineering Mechanics, 2003,129(5):548-557.［15］GOGGINS J M, BRODERICK B M, ELGHAZOULI A Y, et al. Experimental cyclic response of cold-formed hollow steel bracing members［J］. Engineering Structures, 2005,27(7):977-989.［16］KARAVASILIS THEODORE L, BAZEOS NIKITAS, BESKOS DIMITRI. Estimation of seismic drift and ductility demands in planar regular X-braced steel frames［J］. Earthquake Engineering and Structural Dynamics, 2007, 36(15):2273-2289.［17］ASGARIAN B, AGHAKOUCHACK A A, BEA R G. Inelastic postbuckling and cyclic behavior of tubular braces［J］. Journal of Offshore Mechanics and Arctic Engineering, 2005,127(3):256-262.［18］URIZ PATXI, FILIPPOU FILIP C, MAHIN STEPHEN A. Model for cyclic inelastic buckling of steel braces［J］. Journal of Structural Engineering, 2008,134(4):619-628.［19］BRODERICK B M, ELGHAZOULI A Y, GOGGINS J. Earthquake testing and response analysis of concentrically-braced sub-frames［J］. Journal of Constructional Steel Research, 2008,64(9):997-1007.［20］葉列平，陸新征，馬千里，等. 混凝土結(jié)構(gòu)抗震非線性分析模型、方法及算例［J］.工程力學(xué),2006,23(2):131-140.［21］GB50205—2001鋼結(jié)構(gòu)工程施工質(zhì)量驗收規(guī)范［S］. 北京：中國建筑工業(yè)出版社，2001.［22］米旭峰. 交叉支撐內(nèi)力取值方法對結(jié)構(gòu)抗震性能的影響［J］. 蘭州理工大學(xué)學(xué)報，2009,35(2):110-115.［23］張耀春,丁玉坤. 防屈曲支撐、普通和特殊中心支撐鋼框架結(jié)構(gòu)抗震性能分析［J］. 建筑鋼結(jié)構(gòu)進(jìn)展，2009,11(5):8-15.
