基于纤维模型的钢筋混凝土柱滞回性能数值分析
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摘要
采用纤维模型,基于刚度法、柔度法的非线性梁柱单元理论及塑性铰理论,分别编制了钢筋混凝土柱在反复荷载作用下的非线性分析程序,通过3种方法模拟的分析结果与钢筋混凝土压弯柱反复加载试验结果的对比,验证了基于纤维模型的3种非线性分析方法的有效性,比较分析结果表明:基于柔度法的纤维模型梁柱单元在强非线性阶段的计算效果优于基于刚度法和塑性铰模型的梁柱单元.
Three nonlinear programs for hysteresis performances of reinforced concrete columns under cyclic loading were developed based on the fiber model with stiffness-based and flexibility-based non-linear beam-column elements and plastic hinge model.Test results of a column under cyclic compressive-bending loads were compared with the numerical analysis results of three methods,validating the computational effectiveness of three methods based on fiber model.Through comparison of the simulating results,it is shown that the flexibility-based non-linear beam-column elements are superior to the stiffness-based beam-column elements and plastic hinge model in dealing with the column's behaviors in strong nonlinear phase.
Three nonlinear programs for hysteresis performances of reinforced concrete columns under cyclic loading were developed based on the fiber model with stiffness-based and flexibility-based non-linear beam-column elements and plastic hinge model.Test results of a column under cyclic compressive-bending loads were compared with the numerical analysis results of three methods,validating the computational effectiveness of three methods based on fiber model.Through comparison of the simulating results,it is shown that the flexibility-based non-linear beam-column elements are superior to the stiffness-based beam-column elements and plastic hinge model in dealing with the column's behaviors in strong nonlinear phase.
引文
[1]Zeris C A,Mahin S A.Analysis of reinforced concretebeam-columns under uniaxial excitation[J].Journal ofStructure Engineering,1988,114(4):804-820.
[2]Zeris C A,Mahin S A.Behavior of reinforced concretestructures subjected to biaxial excitation[J].Journal ofStructure Engineering,1991,117(9):2657-2673.
[3]Taucer F F,Spacone E,Filippou F C.A fiber beam-co-lumn element for seismic response analysis of reinforced con-crete structures[R].UCB/EERC-91/17,University ofCalifornia,Berkeley:Pacific Earthquake Engineering Re-search Center,1991.
[4]Spacone E,Ciampi V,Filippou F C.Mixed formulation ofnonlinear beam finite element[J].Computers&Struc-tures,1996,58(1):71-83.
[5]Scott M H,Fenves G L.Plastic hinge integration methodsfor force-based beam-column elements[J].Journal ofStructural Engineering,2006,132(2):244-252.
[6]Spacone E,Filippou F,Taucer F.Fiber beam-columnmodeling for non-linear analysis of R/C frames[J].Jour-nal of Earthquake Engineering and Structural Dynamics,1996,25(7):711-725.
[7]D’Ambrisi A,Filippou F C.Modeling of cyclic shear be-havior in RC members[J].Journal of Structural Engineer-ing,1999,125(10):1143-1149.
[8]Cofer W F,Zhang Y,Mclean D I.A comparison of cur-rent computer analysis methods for seismic performance ofreinforced concrete members[J].Finite Elements in Analy-sis and Design,2002,38(9):835-861.
[9]Lee D H,Elnashai A S.Seismic analysis of RC bridgecolumns with flexure-shear interaction[J].Journal ofStructural Engineering,2001,127(5):546-553.
[10]Esmaeily A,Xiao Y.Behavior of reinforced concretecolumns under variable axial loads:analysis[J].ACIStructural Journal,2005,102(5):736-744.
[11]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(2):131-140.YE Lieping,LU Xinzheng,MA Qianli,et al.Nonlinearanalytical models,methods and examples for concretestructures subject to earthquake loading[J].EngineeringMechanics,2006,23(2):131-140.(in Chinese)
[12]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 columns undercyclic loads[J].Engineering Mechanics,2007,24(12):76-81.(in Chinese)
[13]陈滔,黄宗明.基于有限单元柔度法和刚度法的几何非线性空间梁柱单元比较研究[J].工程力学,2005,22(3):31-38.CHEN Tao,HUANG Zongming.Comparison betweenflexibility-based and stiffness-based geometrically nonlin-ear beam-column elements[J].Engineering Mechanics,2005,22(3):31-38.(in Chinese)
[14]陈滔,黄宗明.钢筋混凝土框架非弹性地震反应分析模型研究进展[J].世界地震工程,2002,18(1):91-97.CHEN Tao,HUANG Zongming.A review of inelasticdynamic analysis models of reinforced concrete frames un-der earthquake ground motions[J].World EarthquakeEngineering,2002,18(1):91-97.(in Chinese)
[15]伍永飞,周德源.纤维模型在平面框架非线性静力分析中的应用[J].东南大学学报:自然科学版,2005,35(Sup I):129-132.WU Yongfei,ZHOU Deyuan.Application of fiber modelin static nonlinear analysis for planar frame[J].Journal ofSoutheast University:Natural Science Edition,2005,35(Sup I):129-132.(in Chinese)
[16]Priestley M J N,Park R.Strength and ductility of con-crete bridge columns under seismic loading[J].ACIStructural Journal,1987,84(8):61-76.
[17]Berry M P,Eberhard M O.Performance modeling strate-gies for modern reinforced concrete bridge columns[R].PEER 2007/07,University of California,Berkeley:Pa-cific Earthquake Engineering Research Center,2007.
[18]钟铭.钢筋混凝土桥墩低周疲劳损伤后性能试验及理论研究[D].北京:北京交通大学,2010.ZHONG Ming.Experimental and theoretical research ondamage characteristics of reinforced concrete piers afterlow cyclic loading[D].Beijing:Beijing Jiaotong Univers-ity,2010.(in Chinese)
[19]Scott B D,Park R,Priestley M J N.Stress-strain behav-ior of concrete confined by overlapping hoops at low andhigh strain rates[J].ACI Journal,1982,79(1):13-27.
[20]Karsan I D,Jirsa J O.Behavior of concrete under com-pressive loading[J].Journal of Structural Division,1969,95(ST12):2543-2563.
[2]Zeris C A,Mahin S A.Behavior of reinforced concretestructures subjected to biaxial excitation[J].Journal ofStructure Engineering,1991,117(9):2657-2673.
[3]Taucer F F,Spacone E,Filippou F C.A fiber beam-co-lumn element for seismic response analysis of reinforced con-crete structures[R].UCB/EERC-91/17,University ofCalifornia,Berkeley:Pacific Earthquake Engineering Re-search Center,1991.
[4]Spacone E,Ciampi V,Filippou F C.Mixed formulation ofnonlinear beam finite element[J].Computers&Struc-tures,1996,58(1):71-83.
[5]Scott M H,Fenves G L.Plastic hinge integration methodsfor force-based beam-column elements[J].Journal ofStructural Engineering,2006,132(2):244-252.
[6]Spacone E,Filippou F,Taucer F.Fiber beam-columnmodeling for non-linear analysis of R/C frames[J].Jour-nal of Earthquake Engineering and Structural Dynamics,1996,25(7):711-725.
[7]D’Ambrisi A,Filippou F C.Modeling of cyclic shear be-havior in RC members[J].Journal of Structural Engineer-ing,1999,125(10):1143-1149.
[8]Cofer W F,Zhang Y,Mclean D I.A comparison of cur-rent computer analysis methods for seismic performance ofreinforced concrete members[J].Finite Elements in Analy-sis and Design,2002,38(9):835-861.
[9]Lee D H,Elnashai A S.Seismic analysis of RC bridgecolumns with flexure-shear interaction[J].Journal ofStructural Engineering,2001,127(5):546-553.
[10]Esmaeily A,Xiao Y.Behavior of reinforced concretecolumns under variable axial loads:analysis[J].ACIStructural Journal,2005,102(5):736-744.
[11]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(2):131-140.YE Lieping,LU Xinzheng,MA Qianli,et al.Nonlinearanalytical models,methods and examples for concretestructures subject to earthquake loading[J].EngineeringMechanics,2006,23(2):131-140.(in Chinese)
[12]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 columns undercyclic loads[J].Engineering Mechanics,2007,24(12):76-81.(in Chinese)
[13]陈滔,黄宗明.基于有限单元柔度法和刚度法的几何非线性空间梁柱单元比较研究[J].工程力学,2005,22(3):31-38.CHEN Tao,HUANG Zongming.Comparison betweenflexibility-based and stiffness-based geometrically nonlin-ear beam-column elements[J].Engineering Mechanics,2005,22(3):31-38.(in Chinese)
[14]陈滔,黄宗明.钢筋混凝土框架非弹性地震反应分析模型研究进展[J].世界地震工程,2002,18(1):91-97.CHEN Tao,HUANG Zongming.A review of inelasticdynamic analysis models of reinforced concrete frames un-der earthquake ground motions[J].World EarthquakeEngineering,2002,18(1):91-97.(in Chinese)
[15]伍永飞,周德源.纤维模型在平面框架非线性静力分析中的应用[J].东南大学学报:自然科学版,2005,35(Sup I):129-132.WU Yongfei,ZHOU Deyuan.Application of fiber modelin static nonlinear analysis for planar frame[J].Journal ofSoutheast University:Natural Science Edition,2005,35(Sup I):129-132.(in Chinese)
[16]Priestley M J N,Park R.Strength and ductility of con-crete bridge columns under seismic loading[J].ACIStructural Journal,1987,84(8):61-76.
[17]Berry M P,Eberhard M O.Performance modeling strate-gies for modern reinforced concrete bridge columns[R].PEER 2007/07,University of California,Berkeley:Pa-cific Earthquake Engineering Research Center,2007.
[18]钟铭.钢筋混凝土桥墩低周疲劳损伤后性能试验及理论研究[D].北京:北京交通大学,2010.ZHONG Ming.Experimental and theoretical research ondamage characteristics of reinforced concrete piers afterlow cyclic loading[D].Beijing:Beijing Jiaotong Univers-ity,2010.(in Chinese)
[19]Scott B D,Park R,Priestley M J N.Stress-strain behav-ior of concrete confined by overlapping hoops at low andhigh strain rates[J].ACI Journal,1982,79(1):13-27.
[20]Karsan I D,Jirsa J O.Behavior of concrete under com-pressive loading[J].Journal of Structural Division,1969,95(ST12):2543-2563.
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