考虑非线性剪切效应的钢筋混凝土柱模型化方法及应用
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摘要
采用纤维模型梁柱单元和与之串联的零长度单元,模拟柱的弯曲机制和剪切机制。利用OpenSees提供的Limit State Material和Shear Limit Curve材料模型,定义钢筋混凝土柱的非线性剪切效应及其与弯曲效应的耦合。通过与不同学者的试验结果比较,验证了该方法的可靠性。最后,对笔者完成的原位推覆试验的一榀平面框架进行了Pushover分析。结果表明,考虑非线性剪切效应的模型化方法能较好地模拟钢筋混凝土柱抗剪承载力和刚度的退化现象,传统的纤维模型梁柱单元难以反映配箍不足的钢筋混凝土柱的弯剪破坏机制。该方法可用于存在抗剪能力缺陷的框架结构的非线性分析。
A fiber beam-column element in conjunction with zero-length elements attached to its ends was proposed to simulate the flexural and shear mechanism respectively.Based on the Limit State Material model and the Shear Limit Curve model provided by OpenSees,the nonlinear shear effect of reinforced concrete column and its coupling with the flexural effect were defined.The reliability of the proposed model was validated by means of comparisons with existing test results.Finally,a plane frame from in-situ pushover test was simulated.It is shown that the proposed method,by taking the nonlinear shear effect into account,produces satisfactory results for frame columns with shear strength and stiffness degradation,while the conventional fiber beam-column element can hardly simulate actual flexure-shear failure mechanism for columns characterized by insufficient transverse reinforcement.The proposed method is applicable for nonlinear analysis of reinforced concrete frame structures with shear deficiencies.
A fiber beam-column element in conjunction with zero-length elements attached to its ends was proposed to simulate the flexural and shear mechanism respectively.Based on the Limit State Material model and the Shear Limit Curve model provided by OpenSees,the nonlinear shear effect of reinforced concrete column and its coupling with the flexural effect were defined.The reliability of the proposed model was validated by means of comparisons with existing test results.Finally,a plane frame from in-situ pushover test was simulated.It is shown that the proposed method,by taking the nonlinear shear effect into account,produces satisfactory results for frame columns with shear strength and stiffness degradation,while the conventional fiber beam-column element can hardly simulate actual flexure-shear failure mechanism for columns characterized by insufficient transverse reinforcement.The proposed method is applicable for nonlinear analysis of reinforced concrete frame structures with shear deficiencies.
引文
[1]Lodhi M S,Sezen H.Estimation of monotonic behaviorof reinforced concrete columns considering shear-flexure-axial load interaction[J/OL].EarthquakeEngineering and Structural Dynamics,2012,http://wileyonlinelibrary.com.DOI:10.1002/eqe.2180
[2]孙治国,王东升,李宏男,等.汶川地震钢筋混凝土框架震害及震后修复建议[J].自然灾害学报,2010,19(4):114-123.Sun Z G,Wang D S,Li H N,et al.Damageinvestigation of RC frames in Wenchuan earthquake andsuggestions for post-earthquake rehabilitation[J].Journal of Natural Disasters,2010,19(4):114-123.
[3]雷拓,吕西林,钱江,等.既有钢筋混凝土框架原位推覆试验研究[J].建筑结构学报,2009,30(5):23-30Lei T,Lu X L,Qian J,et al.In-situ pushover test ofan existing reinforced concrete frame[J].Journal ofBuilding Structures,2009,30(5):23-30.
[4]Petrangeli M,Pinto P E,Ciampi V.Fiber element forcyclic bending and shear of rc structures.I:Theory[J].Journal of Engineering Mechanics,1999,125(9):994-1001.
[5]Mostafaei H,Kabeyasawa T.Axial-shear-flexureinteraction approach for reinforced concrete columns[J].ACI Structural Journal,2007,104(2):218-226.
[6]Mullapudi R T,Ayoub A S.Modeling of the seismicbehavior of shear-critical reinforced concrete columns[J].Engineering Structures,2010,32(SP):3601-3615.
[7]Guner S,Vecchio F J.Pushover analysis of shear-critical frames:Formulation[J].ACI StructuralJournal,2010,107(1):63-71.
[8]Marini A,Spacone E.Analysis of reinforced concreteelements including shear effects[J].ACI StructuralJournal,2006,103(5):645-655.
[9]杨红,张睿,藏登科,等.纤维模型中非线性剪切效应的模拟方法及校核[J].四川大学学报:工程科学版,2011,43(1):8-16.Yang H,Zhang R,Zang D K,et al.Fiber model basednonlinear shear effect modeling method and itscalibration[J].Journal of Sichuan University:Engineering Science Edition,2011,43(1):8-16.
[10]Elwood K J,Moehle J P.Dynamic collapse analysis fora reinforced concrete frame sustaining shear and axialfailures[J].Earthquake Engineering and StructuralDynamics,2008,37(7):991-1012.
[11]Xu S Y,Zhang J.Hystertic shear-flexure interactionmodel of reinforced concrete columns for seismicresponse assessment of bridges[J].EarthquakeEngineering and Structural Dynamics,2011,40:315-337.
[12]蔡茂,顾祥林,华晶晶,等.考虑剪切作用的钢筋混凝土柱地震反应分析[J].建筑结构学报,2011,32(11):97-108.Cai M,Gu X L,Hua J J,et al.Seismic responseanalysis of reinforced concrete columns consideringshear effects[J].Journal of Building Structures,2011,32(11):97-108.
[13]Mazzoni S,Mckenna F,Scott M H,et al.OpenSeescommand language manual[M].USA:EarthquakeEngineering Research Center,Berkeley,University ofCalifornia,2007.
[14]Sezen H.Shear deformation model for reinforcedconcrete columns[J].Structural Engineering andMechanics,2008,28(1):39-52.
[15]Ghannoum W M.Experimental and analytical dynamiccollapse study of a reinforced concrete frame with lighttransverse reinforcement[D].Berkeley:University ofCalifornia,2007.
[16]Elwood K J,Moehle J P.Shake table tests andanalytical studies on the gravity load collapse ofreinforced concrete frames[R].Berkeley:Universityof California,2003.
[17]Ohue M,Morimoto H,Fujii S,et al.The behavior ofRC short columns failing in splitting bond-shear underdynamic lateral loading[J].Transactions of the JapanConcrete Institute,1985,7:293-300.
[18]Lynn A C.Seismic Evaluation of Existing ReinforcedConcrete Building Colums[D].Berkeley:University ofCalifornia,1999.
[19]Sakai J,Kawashima K.Effect of Varying Axial LoadsIncluding a Constant Tension on Seismic Performance ofReinforced Concrete Bridge Columns[R].Tokyo:Japan,Tokyo Institute of Technology,2000.
[2]孙治国,王东升,李宏男,等.汶川地震钢筋混凝土框架震害及震后修复建议[J].自然灾害学报,2010,19(4):114-123.Sun Z G,Wang D S,Li H N,et al.Damageinvestigation of RC frames in Wenchuan earthquake andsuggestions for post-earthquake rehabilitation[J].Journal of Natural Disasters,2010,19(4):114-123.
[3]雷拓,吕西林,钱江,等.既有钢筋混凝土框架原位推覆试验研究[J].建筑结构学报,2009,30(5):23-30Lei T,Lu X L,Qian J,et al.In-situ pushover test ofan existing reinforced concrete frame[J].Journal ofBuilding Structures,2009,30(5):23-30.
[4]Petrangeli M,Pinto P E,Ciampi V.Fiber element forcyclic bending and shear of rc structures.I:Theory[J].Journal of Engineering Mechanics,1999,125(9):994-1001.
[5]Mostafaei H,Kabeyasawa T.Axial-shear-flexureinteraction approach for reinforced concrete columns[J].ACI Structural Journal,2007,104(2):218-226.
[6]Mullapudi R T,Ayoub A S.Modeling of the seismicbehavior of shear-critical reinforced concrete columns[J].Engineering Structures,2010,32(SP):3601-3615.
[7]Guner S,Vecchio F J.Pushover analysis of shear-critical frames:Formulation[J].ACI StructuralJournal,2010,107(1):63-71.
[8]Marini A,Spacone E.Analysis of reinforced concreteelements including shear effects[J].ACI StructuralJournal,2006,103(5):645-655.
[9]杨红,张睿,藏登科,等.纤维模型中非线性剪切效应的模拟方法及校核[J].四川大学学报:工程科学版,2011,43(1):8-16.Yang H,Zhang R,Zang D K,et al.Fiber model basednonlinear shear effect modeling method and itscalibration[J].Journal of Sichuan University:Engineering Science Edition,2011,43(1):8-16.
[10]Elwood K J,Moehle J P.Dynamic collapse analysis fora reinforced concrete frame sustaining shear and axialfailures[J].Earthquake Engineering and StructuralDynamics,2008,37(7):991-1012.
[11]Xu S Y,Zhang J.Hystertic shear-flexure interactionmodel of reinforced concrete columns for seismicresponse assessment of bridges[J].EarthquakeEngineering and Structural Dynamics,2011,40:315-337.
[12]蔡茂,顾祥林,华晶晶,等.考虑剪切作用的钢筋混凝土柱地震反应分析[J].建筑结构学报,2011,32(11):97-108.Cai M,Gu X L,Hua J J,et al.Seismic responseanalysis of reinforced concrete columns consideringshear effects[J].Journal of Building Structures,2011,32(11):97-108.
[13]Mazzoni S,Mckenna F,Scott M H,et al.OpenSeescommand language manual[M].USA:EarthquakeEngineering Research Center,Berkeley,University ofCalifornia,2007.
[14]Sezen H.Shear deformation model for reinforcedconcrete columns[J].Structural Engineering andMechanics,2008,28(1):39-52.
[15]Ghannoum W M.Experimental and analytical dynamiccollapse study of a reinforced concrete frame with lighttransverse reinforcement[D].Berkeley:University ofCalifornia,2007.
[16]Elwood K J,Moehle J P.Shake table tests andanalytical studies on the gravity load collapse ofreinforced concrete frames[R].Berkeley:Universityof California,2003.
[17]Ohue M,Morimoto H,Fujii S,et al.The behavior ofRC short columns failing in splitting bond-shear underdynamic lateral loading[J].Transactions of the JapanConcrete Institute,1985,7:293-300.
[18]Lynn A C.Seismic Evaluation of Existing ReinforcedConcrete Building Colums[D].Berkeley:University ofCalifornia,1999.
[19]Sakai J,Kawashima K.Effect of Varying Axial LoadsIncluding a Constant Tension on Seismic Performance ofReinforced Concrete Bridge Columns[R].Tokyo:Japan,Tokyo Institute of Technology,2000.
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