钢-连续纤维复合筋增强混凝土柱抗震性能数值分析
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摘要
在利用OpenSees对钢-连续纤维复合筋(SFCB)力学性能进行较好模拟的基础上,研究配筋率、轴压比、SFCB材性二次刚度比等指标对SFCB柱承载力和变形能力的影响;进而研究SFCB柱在三个不同地震波激励下的最大位移和残余位移响应特征,最后对普通RC柱和SFCB柱的滞回性能进行比较研究。结果表明,①基于材料的复合法则,利用OpenSees分别模拟钢筋和FRP部分,可以较好的模拟SFCB在单向拉伸和往复拉伸作用下的力学特性;②同样配筋率下,较高二次刚度比的SFCB增强的混凝土柱具有较高的屈服后二次刚度,且复合筋中FRP含量的增加有利于提高SFCB柱的变形能力;③提高轴压比对SFCB柱二次刚度有所削弱,而较高SFCB材性二次刚度比可延缓SFCB柱中FRP断裂后由P-δ效应引起的倒塌;④和等刚度配筋率的RC柱相比,8度大震作用下,SFCB材性二次刚度比大于0.15可以实现较小震后残余位移;⑤水平往复荷载作用下的混凝土柱理论和试验分析结果均表明,SFCB柱卸载残余位移远小于普通RC柱,即SFCB柱可以实现较高的震后可修复性。
Though simulation of the mechanical properties of steel-FRP(fiber reinforced polymer) composite bar(SFCB) with OpenSees,the influences of reinforcement ratio,axial compression ratio,and SFCB post-yield stiffness ratio on the bearing capacity and deformation capacity of SFCB columns,and the maximum and residual deformation responses of SFCB column with different post-yield stiffness ratios under the excitation of three different earthquake waves were studied.The hysterisis behavior of SFCB columns and that of one reference RC(reinforced concrete) column were compared.The results showed:(1) the mechanical properties of SFCB under tensile and cyclic tensile loads could be well simulated by OpenSees based on the mixture rule,during which the steel bar and FRP were modeled separately;(2) with the same reinforcement ratio,the post-yield stiffness and corresponding deformation capacity of SFCB column increased with the increase of FRP content in SFCB;(3) the increase of column axial compression ratio had a negative effect on the post-yield stiffness of SFCB column,and more FRP in SFCB could delay the collapse of SFCB columns caused by the P-δ effect;(4) under the excitation of sever earthquakes of 400 Gal acceleration,SFCB column would exhibit smaller residual displacement than ordinary RC column when the post-yield stiffness ratio of SFCB was larger than 0.15;(5) both the calculation and the experimental results of SFCB columns under horizontal cyclic loading indicated that SFCB column could have smaller residual displacement than RC column,meaning that SFCB column had better post-earthquake reparability.
Though simulation of the mechanical properties of steel-FRP(fiber reinforced polymer) composite bar(SFCB) with OpenSees,the influences of reinforcement ratio,axial compression ratio,and SFCB post-yield stiffness ratio on the bearing capacity and deformation capacity of SFCB columns,and the maximum and residual deformation responses of SFCB column with different post-yield stiffness ratios under the excitation of three different earthquake waves were studied.The hysterisis behavior of SFCB columns and that of one reference RC(reinforced concrete) column were compared.The results showed:(1) the mechanical properties of SFCB under tensile and cyclic tensile loads could be well simulated by OpenSees based on the mixture rule,during which the steel bar and FRP were modeled separately;(2) with the same reinforcement ratio,the post-yield stiffness and corresponding deformation capacity of SFCB column increased with the increase of FRP content in SFCB;(3) the increase of column axial compression ratio had a negative effect on the post-yield stiffness of SFCB column,and more FRP in SFCB could delay the collapse of SFCB columns caused by the P-δ effect;(4) under the excitation of sever earthquakes of 400 Gal acceleration,SFCB column would exhibit smaller residual displacement than ordinary RC column when the post-yield stiffness ratio of SFCB was larger than 0.15;(5) both the calculation and the experimental results of SFCB columns under horizontal cyclic loading indicated that SFCB column could have smaller residual displacement than RC column,meaning that SFCB column had better post-earthquake reparability.
引文
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[14]Mazzoni S,McKenna F,Scott M H,et al.OpenSystem for Earthquake Engineering Simulation Usercommand-language manual[R/OL].Berkeley,US:Pacific Earthquake Engineering Center,University ofCalifornia,2009.http://opensees.berkeley.edu/OpenSees/manuals/usermanual/index.html
[15]罗云标,吴刚,吴智深,等.钢-连续纤维复合筋(SFCB)增强混凝土柱抗震性能初探[J].工程抗震与加固改造,2009,31(1):14-20,34(Luo Yunbiao,Wu Gang,WuZhishen,et al.Numerical study on seismic performanceof steel fiber composite bar(SFCB)reinforced concretecolumn[J].Earthquake Resistant Engineering andRetrofitting,2009,31(1):14-20,34(in Chinese))
[16]杨红,吴晶晶.考虑结构局部反应特征的时程分析法输入地震波研究[J].土木工程学报,2007,40(11):29-35(Yang Hong,Wu Jingjing.A study on the earthquakeinput for time-history analysis based on the localresponse characteristics of structures[J].China CivilEngineering Journal,2007,40(11):29-35(inChinese))
[17]Lee W K,Billington S L.Modeling residualdisplacements of concrete bridge columns underearthquake loads using fiber elements[J].Journal ofBridge Engineering,2010,15(3):240-249
[18]Chang G A,Mander J B.Seismic energy based fatiguedamage analysis of bridge columns:Part I–evaluationof seismic capacity[R].Buffalo:State University ofNew York,1994
[19]Wu G,Wu Z S,Luo Y B,et al.Mechanical propertiesof steel-FRP composite bar under uniaxial and cyclictensile loads[J].Journal of Materials in CivilEngineering,2010,22(10):1056-1066
[20]Spacone E,Filippou F C,Taucer F F.Fibre beam-column model for non-linear analysis of R/C frames.Part II:applications[J].Earthquake Engineering andStructural Dynamics,1996,25(7):727-742
[21]Zhao J,Sritharan S.Modeling of strain penetrationeffects in fiber-based analysis of reinforced concretestructures[J].ACI Structural Journal,2007,104(2):133-141
[22]王亚勇,刘小弟.建筑结构时程分析法输入地震波的研究[J].建筑结构学报,1991,12(2):51-60(WangYayong,Liu Xiaodi.Study on the input of earthquakeground motion for time-history analysis of structures[J].Journal of Building Structures,1991,12(2):51-60(in Chinese))
[23]Takeda T,Sozen M A,Nielsen N N.Reinforcedconcrete response to simulated earthquakes[J].Journalof the Structural Division,1970,96(12):2557-2573
[24]Earthquake resistant design codes in Japan[S].Tokyo,Japan:Japan Society of Civil Engineers,2000
[25]Kawashima K.Seismic design and retrofit of bridges[J].Bulletin of the New Zealand Society for EarthquakeEngineering,2000,33(3):265-285
[2]Priestley M J N.Performance based seismic design[J].Bulletin of the New Zealand Society for EarthquakeEngineering.2000,33(3):325-346
[3]Christopoulos C,Pampanin S,Priestley M J N.Performance-based seismic response of frame structuresincluding residual deformations.Part I:single-degree offreedom systems[J].Journal of Earthquake Engineering,2003,7(1):97-118
[4]Wu Z S,Fahmy M F M,Wu G.Safety enhancement ofurban structures with structural recoverability andcontrollability[J].Journal of Earthquake and Tsunami,2009,3(3):143-174
[5]Kawashima K,MacRae G A,Hoshikuma J,et al.Residualdisplacement response spectrum[J].Journal of StructuralEngineering,1998,124(5):523-530
[6]Pettinga D,Christopoulos C,Pampanin S,et al.Effectiveness of simple approaches in mitigating residualdeformations in buildings[J].Earthquake Engineering&Structural Dynamics,2007,36(12):1763-1783
[7]叶列平,陆新征,马千里,等.屈服后刚度对建筑结构地震响应影响的研究[J].建筑结构学报,2009,30(2):17-29(Ye Lieping,Lu Xinzheng,Ma Qianli,et al.Influence of post-yielding stiffness to seismic response ofbuilding structures[J].Journal of Building Structures,2009,30(2):17-29(in Chinese))
[8]Iemura H,Takahashi Y,Sogabe N.The load-displacement relationships of RC pier with splittingbond high strength bars[C]//Proceedings of JapanSociety of Civil Engineering.Japan:Japan Society ofCivil Engineering,2004:59-72(in Japanese)
[9]谢旭,布占宇.应用碳纤维筋控制桥墩地震损伤方法初探[J].浙江大学学报:工学版,2005,39(10):1589-1595(Xie Xu,Bu Zhanyu.Elementary study onusefulness of carbon fiber for controlling bridge pierseismic damage[J].Journal of Zhejiang University:Engineering Science Edition,2005,39(10):1589-1595(in Chinese))
[10]Billington S L,Yoon J K.Cyclic response of unbondedposttensioned precast columns with ductile fiber-reinforced concrete[J].Journal of Bridge Engineering,2004,9(4):353-363
[11]吴智深,吴刚,吕志涛.钢-连续纤维复合筋增强混凝土抗震结构.中国,200610097218.9[P].2007-03-28
[12]吴刚,罗云标,吴智深,等.钢-连续纤维复合筋(SFCB)力学性能试验研究与理论分析[J].土木工程学报,2010,43(3):53-61(Wu Gang,Luo Yunbiao,WuZhishen,et al.Experimental and theoretical studies onthe mechanical properties of steel-FRP composite bars[J].China Civil Engineering Journal,2010,43(3):53-61(in Chinese))
[13]孙泽阳,吴刚,吴智深,等.钢-连续纤维复合筋增强混凝土柱抗震性能试验研究[J].土木工程学报,2011,44(11):24-33(Sun Zeyang,Wu Gang,Wu Zhishen,etal.Experimental study on seismic performance ofconcrete columns reinforced by steel-FRP composite bars[J].China Civil Engineering Journal,2011,44(11):24-33(in Chinese))
[14]Mazzoni S,McKenna F,Scott M H,et al.OpenSystem for Earthquake Engineering Simulation Usercommand-language manual[R/OL].Berkeley,US:Pacific Earthquake Engineering Center,University ofCalifornia,2009.http://opensees.berkeley.edu/OpenSees/manuals/usermanual/index.html
[15]罗云标,吴刚,吴智深,等.钢-连续纤维复合筋(SFCB)增强混凝土柱抗震性能初探[J].工程抗震与加固改造,2009,31(1):14-20,34(Luo Yunbiao,Wu Gang,WuZhishen,et al.Numerical study on seismic performanceof steel fiber composite bar(SFCB)reinforced concretecolumn[J].Earthquake Resistant Engineering andRetrofitting,2009,31(1):14-20,34(in Chinese))
[16]杨红,吴晶晶.考虑结构局部反应特征的时程分析法输入地震波研究[J].土木工程学报,2007,40(11):29-35(Yang Hong,Wu Jingjing.A study on the earthquakeinput for time-history analysis based on the localresponse characteristics of structures[J].China CivilEngineering Journal,2007,40(11):29-35(inChinese))
[17]Lee W K,Billington S L.Modeling residualdisplacements of concrete bridge columns underearthquake loads using fiber elements[J].Journal ofBridge Engineering,2010,15(3):240-249
[18]Chang G A,Mander J B.Seismic energy based fatiguedamage analysis of bridge columns:Part I–evaluationof seismic capacity[R].Buffalo:State University ofNew York,1994
[19]Wu G,Wu Z S,Luo Y B,et al.Mechanical propertiesof steel-FRP composite bar under uniaxial and cyclictensile loads[J].Journal of Materials in CivilEngineering,2010,22(10):1056-1066
[20]Spacone E,Filippou F C,Taucer F F.Fibre beam-column model for non-linear analysis of R/C frames.Part II:applications[J].Earthquake Engineering andStructural Dynamics,1996,25(7):727-742
[21]Zhao J,Sritharan S.Modeling of strain penetrationeffects in fiber-based analysis of reinforced concretestructures[J].ACI Structural Journal,2007,104(2):133-141
[22]王亚勇,刘小弟.建筑结构时程分析法输入地震波的研究[J].建筑结构学报,1991,12(2):51-60(WangYayong,Liu Xiaodi.Study on the input of earthquakeground motion for time-history analysis of structures[J].Journal of Building Structures,1991,12(2):51-60(in Chinese))
[23]Takeda T,Sozen M A,Nielsen N N.Reinforcedconcrete response to simulated earthquakes[J].Journalof the Structural Division,1970,96(12):2557-2573
[24]Earthquake resistant design codes in Japan[S].Tokyo,Japan:Japan Society of Civil Engineers,2000
[25]Kawashima K.Seismic design and retrofit of bridges[J].Bulletin of the New Zealand Society for EarthquakeEngineering,2000,33(3):265-285
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