循环荷载下钢筋混凝土柱滞回性能数值模拟
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摘要
基于OpenSees平台,分别采用梁柱纤维单元和带塑性铰梁柱纤维单元建立了钢筋混凝土单柱的纤维模型和纤维铰模型,对循环荷载下的钢筋混凝土单柱非线性滞回反应进行了数值模拟。通过与试验结果的对比,验证了两种模型的模拟效果,并对模拟结果进行了分析讨论。研究表明,采用纤维模型可以较真实地模拟循环荷载下钢筋混凝土柱的非线性滞回性能,模拟结果能够较好地反映钢筋混凝土柱在反复加载过程中刚度和强度退化及捏拢现象,材料本构参数、积分点数目及纤维铰模型中的塑性铰长度对模拟效果有着重要的影响。
Based on OpenSees procedure,the fiber model and fiber hinge model of RC column are built by using beam-column fiber element and beam with hinges fiber element respectively.The numerical simulation on nonlinear hysteretic response of RC column under cyclic loads is performed.According to the numerical results compared with experimental results,the effectiveness of simulation based on two different models is verified.Furthermore,the results of numerical simulation are discussed.The research indicates that the nonlinear hysteretic characteristics of RC column under cyclic loads can be veritably simulated by using fiber element model,the numerical simulation veritably reflected the stiffness and strength degradation and pinch phenomenon of RC column under lateral cyclic loads and the parameters of material constitutive relation,number of integration points and length of plastic hinge in beam with hinges fiber element model has great influence on numerical simulation.
Based on OpenSees procedure,the fiber model and fiber hinge model of RC column are built by using beam-column fiber element and beam with hinges fiber element respectively.The numerical simulation on nonlinear hysteretic response of RC column under cyclic loads is performed.According to the numerical results compared with experimental results,the effectiveness of simulation based on two different models is verified.Furthermore,the results of numerical simulation are discussed.The research indicates that the nonlinear hysteretic characteristics of RC column under cyclic loads can be veritably simulated by using fiber element model,the numerical simulation veritably reflected the stiffness and strength degradation and pinch phenomenon of RC column under lateral cyclic loads and the parameters of material constitutive relation,number of integration points and length of plastic hinge in beam with hinges fiber element model has great influence on numerical simulation.
引文
[1]Spacone E,Filippou F,Taucer F.Fiber beam columnmodeling for nonlinear analysis of RC frames[J].Journal of Earthquake Engineering and StructuralDynamics,1996,25:711-725.
[2]Ambrisi D A,Filippou F.Modeling of cyclic shearbehavior in RC members[J].Journal of StructuralEngineering,1999,125(10):1143-1149.
[3]Li Kangning.3D analysis of RC frame wall buildingdamaged in the 1995 Hyogoken Nanbu Earthquake[C]∥Proceedings of the 12th World Conference onEarthquake Engineering(CD-ROM).Auckland:[s.n.],2000.
[4]叶列平,陆新征,马千里,等.混凝土结构抗震非线性分析模型、方法及算例[J].工程力学,2006,23(S2):131-140.Ye Lieping,Lu Xinzheng,Ma Qianli,et al.Nonlinear analytical models,methods and examplesfor concrete structures subject to earthquake loading[J].Engineering Mechanics,2006,23(S2):131-140.(in Chinese)
[5]汪训流,陆新征,叶列平.往复荷载下钢筋混凝土柱受力性能的数值模拟[J].工程力学,2007,24(12):76-81.Wang Xunliu,Lu Xinzheng,Ye Lieping.Numericalsimulation for the hysteresis behavior of RC columnsunder cyclic loads[J].Engineering Mechanics,2007,24(12):76-81.(in Chinese)
[6]何利,叶献国.钢筋混凝土柱滞回性能的数值模拟[J].合肥工业大学学报:自然科学版,2010,12(33):1819-1823.He Li,Ye Xianguo.Numerical simulation onhysteresis performance of RC columns[J].Journal ofHefei University of Technology:Edition of NaturalScience,2010,12(33):1819-1823.(in Chinese)
[7]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报:工学版,2005,39(7):1003-1007.Qin Conglu。,Zhang Aihui.Nonlinear time historyanalysis based on section fiber model[J].Journal ofZhejiang University:Edition of Engineering Science,2005,39(7):1003-1007.(in Chinese)
[8]宋国森,李贵乾.单柱墩拟静力试验仿真计算案例[J].公路交通科技,2010,27(4):39-43.Song Guoseng,Li Guiqian.Simulation calculation forpseudo-static test of reinforced concrete single-columnbridge piers[J].Journal of Highway andTransportation Research and Development,2010,27(4):39-43.(in Chinese)
[9]李贵乾,郑罡,高波.基于OpenSees的钢筋混凝土桥墩拟静力试验数值分析[J].世界地震工程,2011,27(1):110-114.Li Guiqian,Zheng Gang,Gao Bo.Numerical analysisfor pseudo-static tests of reinforced concrete bridgecolumns based on OpenSees[J].World EarthquakeEngineering,2011,27(1):110-114.(in Chinese)
[10]潘志宏,李爱群.基于纤维模型的外粘型钢加固混凝土柱静力弹塑性分析[J].东南大学学报:自然科学版,2009,39(3):552-556.Pan Zhihong,Li Aiqun.Nonlinear static analysis onRC column strengthened with externally bonded steelframe based on fiber model[J].Journal of SoutheastUniversity:Edition of Natural Science,2009,39(3):552-556.(in Chinese)
[11]Mazzoni S,Mckenna F,Fenves G L,et al.Opensystem for earthquake engineering simulation usermanual[EB/OL].[2009-10-30].http:∥www.opensees.berkeley.edu.
[12]Kent D C,Park R.Flexural members with confined-concrete[J].Journal of the Structural Division,1971,97(7):1969-1990.
[13]Menegotto M,Pinto P E.Method of analysis forcyclically loaded reinforced concrete plane framesincluding changes in geometry and non-elasticbehavior of elements under combined normal force andbending[C]∥Proceedings of the Conference onResistance and Ultimate Deformability of StructuresActed on by Well Defined Repeated Loads.Lisbon:International Association for Bridge and StructuralEngineering,1973:15-22.
[14]Filippou F C.Effects of bond deterioration on seismicresponse of reinforced concrete frame[D].Berkeley,CA:University of California,1983.
[15]Silvia M,Frank M,Michael H S,et al.OpenSeescommand language manual[EB/OL].[2008-11-12].http:∥opensees.berkeley.edu.
[16]Silvia M,Frank M,Michael H S,et al.OpenSeesexamples primer[EB/OL].[2008-11-12].http:∥opensees.berkeley.edu.
[2]Ambrisi D A,Filippou F.Modeling of cyclic shearbehavior in RC members[J].Journal of StructuralEngineering,1999,125(10):1143-1149.
[3]Li Kangning.3D analysis of RC frame wall buildingdamaged in the 1995 Hyogoken Nanbu Earthquake[C]∥Proceedings of the 12th World Conference onEarthquake Engineering(CD-ROM).Auckland:[s.n.],2000.
[4]叶列平,陆新征,马千里,等.混凝土结构抗震非线性分析模型、方法及算例[J].工程力学,2006,23(S2):131-140.Ye Lieping,Lu Xinzheng,Ma Qianli,et al.Nonlinear analytical models,methods and examplesfor concrete structures subject to earthquake loading[J].Engineering Mechanics,2006,23(S2):131-140.(in Chinese)
[5]汪训流,陆新征,叶列平.往复荷载下钢筋混凝土柱受力性能的数值模拟[J].工程力学,2007,24(12):76-81.Wang Xunliu,Lu Xinzheng,Ye Lieping.Numericalsimulation for the hysteresis behavior of RC columnsunder cyclic loads[J].Engineering Mechanics,2007,24(12):76-81.(in Chinese)
[6]何利,叶献国.钢筋混凝土柱滞回性能的数值模拟[J].合肥工业大学学报:自然科学版,2010,12(33):1819-1823.He Li,Ye Xianguo.Numerical simulation onhysteresis performance of RC columns[J].Journal ofHefei University of Technology:Edition of NaturalScience,2010,12(33):1819-1823.(in Chinese)
[7]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报:工学版,2005,39(7):1003-1007.Qin Conglu。,Zhang Aihui.Nonlinear time historyanalysis based on section fiber model[J].Journal ofZhejiang University:Edition of Engineering Science,2005,39(7):1003-1007.(in Chinese)
[8]宋国森,李贵乾.单柱墩拟静力试验仿真计算案例[J].公路交通科技,2010,27(4):39-43.Song Guoseng,Li Guiqian.Simulation calculation forpseudo-static test of reinforced concrete single-columnbridge piers[J].Journal of Highway andTransportation Research and Development,2010,27(4):39-43.(in Chinese)
[9]李贵乾,郑罡,高波.基于OpenSees的钢筋混凝土桥墩拟静力试验数值分析[J].世界地震工程,2011,27(1):110-114.Li Guiqian,Zheng Gang,Gao Bo.Numerical analysisfor pseudo-static tests of reinforced concrete bridgecolumns based on OpenSees[J].World EarthquakeEngineering,2011,27(1):110-114.(in Chinese)
[10]潘志宏,李爱群.基于纤维模型的外粘型钢加固混凝土柱静力弹塑性分析[J].东南大学学报:自然科学版,2009,39(3):552-556.Pan Zhihong,Li Aiqun.Nonlinear static analysis onRC column strengthened with externally bonded steelframe based on fiber model[J].Journal of SoutheastUniversity:Edition of Natural Science,2009,39(3):552-556.(in Chinese)
[11]Mazzoni S,Mckenna F,Fenves G L,et al.Opensystem for earthquake engineering simulation usermanual[EB/OL].[2009-10-30].http:∥www.opensees.berkeley.edu.
[12]Kent D C,Park R.Flexural members with confined-concrete[J].Journal of the Structural Division,1971,97(7):1969-1990.
[13]Menegotto M,Pinto P E.Method of analysis forcyclically loaded reinforced concrete plane framesincluding changes in geometry and non-elasticbehavior of elements under combined normal force andbending[C]∥Proceedings of the Conference onResistance and Ultimate Deformability of StructuresActed on by Well Defined Repeated Loads.Lisbon:International Association for Bridge and StructuralEngineering,1973:15-22.
[14]Filippou F C.Effects of bond deterioration on seismicresponse of reinforced concrete frame[D].Berkeley,CA:University of California,1983.
[15]Silvia M,Frank M,Michael H S,et al.OpenSeescommand language manual[EB/OL].[2008-11-12].http:∥opensees.berkeley.edu.
[16]Silvia M,Frank M,Michael H S,et al.OpenSeesexamples primer[EB/OL].[2008-11-12].http:∥opensees.berkeley.edu.
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