采用纤维梁单元分析钢-混凝土组合结构地震反应的原理
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摘要
通过大型通用有限元程序MSC.MARC(2005r2)二次开发将纤维截面模型和基于位移的无滑移分布塑性铰梁单元相结合,得到了一种用于钢-混凝土组合结构地震反应分析的纤维梁单元。该单元在兼顾模型的准确性、通用性以及高效性的同时,具有较优的求解效率、数值稳定性以及前后处理速度。根据工程中常用组合截面的特点提出了组合截面的定义方式及其纤维离散过程,并给出了截面本构关系的求解流程。分析了混凝土、钢材以及钢筋三种材料的单轴本构关系,混凝土材料模型能反映普通、高强以及约束混凝土的不同力学特性,并在已有的考虑单次加卸载强度退化模型的基础上发展了能够考虑多次加卸载强度退化行为的混凝土滞回准则,从而使模型更符合地震作用下组合构件中混凝土材料的实际复杂非线性行为,钢材和钢筋模型能较合理地考虑往复荷载作用下的包兴格效应。
For the consideration of accuracy,broad applicability,efficiency,rapid and stable numerical solution,as well as powerful and convenient pre-processing and post-processing,the customization of the large generic FE package MSC.MARC(2005r2) is proposed to combine the fiber section model and the displacement-based perfectly-bonded beam element with distributed plastic hinges,resulting in a fiber beam element for seismic response analysis of steel-concrete composite structures.Based on the characteristics of composite sections usually used in practice,the definition approach of composite sections and the discretization process of section fibers are proposed.The solution algorithm of the sectional constitutive law is also derived.The uniaxial constitutive laws of the concrete,steel and reinforcement materials are focused on.The proposed concrete constitutive model covers the ordinary,high-strength and confined concrete material.Based on some previous models which can only reflect the strength degradation phenomenon due to single unloading and reloading,the hysteretic law is improved to consider the strength degradation phenomenon due to repeated unloading and reloading so that the model can more reasonably and accurately trace the actual complex nonlinear behavior of the concrete material in composite members subjected to the real seismic action.The adopted steel and reinforcement material model can consider the Bauschinger effect rationally.
For the consideration of accuracy,broad applicability,efficiency,rapid and stable numerical solution,as well as powerful and convenient pre-processing and post-processing,the customization of the large generic FE package MSC.MARC(2005r2) is proposed to combine the fiber section model and the displacement-based perfectly-bonded beam element with distributed plastic hinges,resulting in a fiber beam element for seismic response analysis of steel-concrete composite structures.Based on the characteristics of composite sections usually used in practice,the definition approach of composite sections and the discretization process of section fibers are proposed.The solution algorithm of the sectional constitutive law is also derived.The uniaxial constitutive laws of the concrete,steel and reinforcement materials are focused on.The proposed concrete constitutive model covers the ordinary,high-strength and confined concrete material.Based on some previous models which can only reflect the strength degradation phenomenon due to single unloading and reloading,the hysteretic law is improved to consider the strength degradation phenomenon due to repeated unloading and reloading so that the model can more reasonably and accurately trace the actual complex nonlinear behavior of the concrete material in composite members subjected to the real seismic action.The adopted steel and reinforcement material model can consider the Bauschinger effect rationally.
引文
[1]陆新征,缪志伟,江见鲸,叶列平.静力和动力荷载作用下混凝土高层结构的倒塌模拟[J].山西地震,2006,(2):7-11.(Lu Xinzheng,Miao Zhiwei,JiangJianjing,Ye Lieping.Collapse simulation of high-risestructure of concrete under the action of static anddynamic load[J].Shanxi Earthquake,2006,(2):7-11.(in Chinese))
[2]汪训流.配置高强钢绞线无粘结筋混凝土柱复位性能的研究[D].北京:清华大学,2007.(WangXunliu.Research on re-centering behavior of reinforcedconcrete columns with unbonded high-strength strands[D].Beijing:Tsinghua University,2007.(inChinese))
[3]周新炜,李志山,李云贵.基于ABAQUS纤维梁元的混凝土单轴滞回本构模型的开发与应用[C]//第十四届全国工程设计计算机应用学术会议论文集,北京:中国土木工程学会计算机应用分会,2008:3-11.(Zhou Xinwei,Li Zhishan,Li Yungui.Development and applications of concrete uniaxialhysteretic constitutive model based on ABAQUS fiberbeam element[C]//14th National Conference ofComputational Applications in Engineering Design.Beijing:China Civil Engineering Society,ComputerApplication Branch,2008:3-11.(in Chinese))
[4]Spacone E,EI-Tawil S.Nonlinear analysis of steel-concrete composite structures:state of the art[J].Journal of Structural Engineering,ASCE,2004,130(2):159-168.
[5]Amadio C,Fragiacomo M.A finite element model forthe study of creep and shrinkage effects in compositebeams with deformable shear connections[J].Costruzioni Metalliche,1993,4:213-228.
[6]Salari M R,Spacone E.Analysis of steel-concretecomposite frames with bond-slip[J].Journal ofStructural Engineering,ASCE,2001,127(11):1243-1250.
[7]Ayoub A,Filippou F C.Mixed formulation of nonlinearsteel-concrete composite beam element[J].Journal ofStructural Engineering,ASCE,2000,126(3):371-381.
[8]聂建国,陶慕轩.多高层钢-混凝土组合框架体系的弹塑性分析模型[J].建筑结构学报,2010,31(7):1-12.(NIE Jianguo,TAO Muxuan.Modeling forelasto-plastic analysis of multistory and highrise steel-concrete composite frame systems[J].Journal ofBuilding Structures,2010,31(7):1-12.(in Chinese))
[9]Spacone E,Filippou F C,Taucer F F.Fibre beam-column model for non-linear analysis of R/C frames:part I.Formulation[J].Earthquake Engineering andStructural Dynamics,1996,25(7):711-725.
[10]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.
[11]Hajjar J F,Gourley B C.A cyclic nonlinear model forconcrete-filled tubes:I:formulation[J].Journal ofStructural Engineering,ASCE,1997,123(6):736-744.
[12]Taucer F F,Spacone E,Filippou F C.A fiber beam-column element for seismic response analysis ofreinforced concrete structures[R].California:University of California,Berkeley,EarthquakeEngineering Research Center,1991.
[13]Rüsch H.Researches toward a general flexural theoryfor structural concrete[J].ACI Journal Proceedings,1960,57(7):1-28.
[14]韩林海.钢管混凝土结构:理论与实践[M].第二版.北京:科学出版社,2007:72-73.(Han Linhai.Concrete filled steel tubular structures:theory andpractice[M].Second edition.Beijing:Science Press,2007:72-73.(in Chinese))
[15]陈肇元,朱金铨,吴佩刚.高强混凝土及其应用[M].北京:清华大学出版社,1992:1,218.(ChenZhaoyuan,Zhu Jinquan,Wu Peigang.High strengthconcrete and its application[M].Beijing:TsinghuaUniversity Press,1992:1,218.(in Chinese))
[16]Hognestad E,Hanson N W,McHenry D.Concretestress distribution in ultimate strength design[J].ACIJournal Proceedings,1955,52(12):455-480.
[17]过镇海,时旭东.钢筋混凝土原理和分析[M].北京:清华大学出版社,2003:26,71.(Guo Zhenhai,Shi Xudong.Reinforced concrete theory and analyse[M].Beijing:Tsinghua University Press,2003:26,71.(in Chinese))
[18]Mander J B,Priestley M J N,Park R.Theoreticalstress-strain model for confined concrete[J].Journal ofStructural Engineering,ASCE,1988,114(8):1804-1826.
[19]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的应用[J].建筑结构学报,2011,32(10):11-20.(NIE Jianguo,TAO Muxuan.Application of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):11-20.(in Chinese))
[20]过镇海,张秀琴.混凝土在反复荷载作用下的应力-应变全曲线[J].冶金建筑,1981,(9):14-17,13.(Guo Zhenhai,Zhang Xiuqin.Stress-strain curve ofconcrete subjected to cyclic loadings[J].MetallurgyArchitecture,1981,(9):14-17,13.(in Chinese))
[21]Esmaeily A,Xiao Y.Behavior of reinforced concretecolumns under variable axial loads:analysis[J].ACIStructural Journal,2005,102(5):736-744.
[22]Légeron F,Paultre P,Mazars J.Damage mechanicsmodeling of nonlinear seismic behavior of concretestructures[J].Journal of Structural Engineering,ASCE,2005,131(6):946-955.
[2]汪训流.配置高强钢绞线无粘结筋混凝土柱复位性能的研究[D].北京:清华大学,2007.(WangXunliu.Research on re-centering behavior of reinforcedconcrete columns with unbonded high-strength strands[D].Beijing:Tsinghua University,2007.(inChinese))
[3]周新炜,李志山,李云贵.基于ABAQUS纤维梁元的混凝土单轴滞回本构模型的开发与应用[C]//第十四届全国工程设计计算机应用学术会议论文集,北京:中国土木工程学会计算机应用分会,2008:3-11.(Zhou Xinwei,Li Zhishan,Li Yungui.Development and applications of concrete uniaxialhysteretic constitutive model based on ABAQUS fiberbeam element[C]//14th National Conference ofComputational Applications in Engineering Design.Beijing:China Civil Engineering Society,ComputerApplication Branch,2008:3-11.(in Chinese))
[4]Spacone E,EI-Tawil S.Nonlinear analysis of steel-concrete composite structures:state of the art[J].Journal of Structural Engineering,ASCE,2004,130(2):159-168.
[5]Amadio C,Fragiacomo M.A finite element model forthe study of creep and shrinkage effects in compositebeams with deformable shear connections[J].Costruzioni Metalliche,1993,4:213-228.
[6]Salari M R,Spacone E.Analysis of steel-concretecomposite frames with bond-slip[J].Journal ofStructural Engineering,ASCE,2001,127(11):1243-1250.
[7]Ayoub A,Filippou F C.Mixed formulation of nonlinearsteel-concrete composite beam element[J].Journal ofStructural Engineering,ASCE,2000,126(3):371-381.
[8]聂建国,陶慕轩.多高层钢-混凝土组合框架体系的弹塑性分析模型[J].建筑结构学报,2010,31(7):1-12.(NIE Jianguo,TAO Muxuan.Modeling forelasto-plastic analysis of multistory and highrise steel-concrete composite frame systems[J].Journal ofBuilding Structures,2010,31(7):1-12.(in Chinese))
[9]Spacone E,Filippou F C,Taucer F F.Fibre beam-column model for non-linear analysis of R/C frames:part I.Formulation[J].Earthquake Engineering andStructural Dynamics,1996,25(7):711-725.
[10]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.
[11]Hajjar J F,Gourley B C.A cyclic nonlinear model forconcrete-filled tubes:I:formulation[J].Journal ofStructural Engineering,ASCE,1997,123(6):736-744.
[12]Taucer F F,Spacone E,Filippou F C.A fiber beam-column element for seismic response analysis ofreinforced concrete structures[R].California:University of California,Berkeley,EarthquakeEngineering Research Center,1991.
[13]Rüsch H.Researches toward a general flexural theoryfor structural concrete[J].ACI Journal Proceedings,1960,57(7):1-28.
[14]韩林海.钢管混凝土结构:理论与实践[M].第二版.北京:科学出版社,2007:72-73.(Han Linhai.Concrete filled steel tubular structures:theory andpractice[M].Second edition.Beijing:Science Press,2007:72-73.(in Chinese))
[15]陈肇元,朱金铨,吴佩刚.高强混凝土及其应用[M].北京:清华大学出版社,1992:1,218.(ChenZhaoyuan,Zhu Jinquan,Wu Peigang.High strengthconcrete and its application[M].Beijing:TsinghuaUniversity Press,1992:1,218.(in Chinese))
[16]Hognestad E,Hanson N W,McHenry D.Concretestress distribution in ultimate strength design[J].ACIJournal Proceedings,1955,52(12):455-480.
[17]过镇海,时旭东.钢筋混凝土原理和分析[M].北京:清华大学出版社,2003:26,71.(Guo Zhenhai,Shi Xudong.Reinforced concrete theory and analyse[M].Beijing:Tsinghua University Press,2003:26,71.(in Chinese))
[18]Mander J B,Priestley M J N,Park R.Theoreticalstress-strain model for confined concrete[J].Journal ofStructural Engineering,ASCE,1988,114(8):1804-1826.
[19]聂建国,陶慕轩.采用纤维梁单元分析钢-混凝土组合结构地震反应的应用[J].建筑结构学报,2011,32(10):11-20.(NIE Jianguo,TAO Muxuan.Application of seismic response analysis of steel-concrete composite structures using fiber beam elements[J].Journal of Building Structures,2011,32(10):11-20.(in Chinese))
[20]过镇海,张秀琴.混凝土在反复荷载作用下的应力-应变全曲线[J].冶金建筑,1981,(9):14-17,13.(Guo Zhenhai,Zhang Xiuqin.Stress-strain curve ofconcrete subjected to cyclic loadings[J].MetallurgyArchitecture,1981,(9):14-17,13.(in Chinese))
[21]Esmaeily A,Xiao Y.Behavior of reinforced concretecolumns under variable axial loads:analysis[J].ACIStructural Journal,2005,102(5):736-744.
[22]Légeron F,Paultre P,Mazars J.Damage mechanicsmodeling of nonlinear seismic behavior of concretestructures[J].Journal of Structural Engineering,ASCE,2005,131(6):946-955.
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