钢管混凝土框架结构力学性能非线性有限元分析
|
摘要
在考虑材料非线性和几何非线性的基础上进行了钢管混凝土柱-钢梁平面框架结构力学性能的非线性有限元分析,核心混凝土采用考虑钢管约束效应的应力-应变关系,钢材采用二次塑流模型或线性强化模型,通过在有限元公式中引入几何刚度矩阵,并在荷载步中更新坐标描述二阶效应来反映框架结构的几何非线性效应。基于近似修正的拉格朗日表述来反映框架结构变形前后位形之间的关系,利用虚功原理建立相应的增量平衡方程,并采用位移增量法求解非线性有限元方程,理论计算结果得到试验结果的验证。分析表明,基于非线性纤维梁-柱单元理论的分析方法可以反映钢管混凝土框架在受力过程中构件屈服和塑性分别沿截面和杆长两个方向扩展的分布塑性特征,并考虑初始缺陷、残余应力等,因此可较好地反映钢管混凝土框架的力学性能。在此基础上对影响钢管混凝土框架力学性能的主要因素进行了参数分析,分析的具体结果可供有关研究或工程应用参考。
The nonlinear finite element analysis(FEA) on mechanical behaviour of composite frame which composed of concrete filled steel tubular(CFST) columns and steel beam under sustaining axial load and lateral loads was carried out.The material and geometric nonlinearities were considered.The stress-strain relationship of core concrete was given under confinement effect by the outside steel tubes.The stress-strain curves was second-order elastic-plastic model or linear aggrandizement model.The geometric stiffness matrix and updated coordinate strategy were adopted to describe the geometric nonlinearity of the frame.The relationship between displacements of the CFST frame before and after deformation was based on Approximate Updated Lagrange(AUL) description.The increment equilibrium equations were found on virtual work principle.The nonlinear equations were solved by displacement increment method.The calculated results agree well with the tested results.The results show that the finite element analysis based on fiber beam-column elements was reasonable to predict the performance of CFST frames because the method can consider the yield and plastic extending within the sections and along the elements.The initial imperfect and residual stress can be included too.Parametric study was performed based on the FEA model and some useful conclusions were obtained for correlative researcher and designer.
The nonlinear finite element analysis(FEA) on mechanical behaviour of composite frame which composed of concrete filled steel tubular(CFST) columns and steel beam under sustaining axial load and lateral loads was carried out.The material and geometric nonlinearities were considered.The stress-strain relationship of core concrete was given under confinement effect by the outside steel tubes.The stress-strain curves was second-order elastic-plastic model or linear aggrandizement model.The geometric stiffness matrix and updated coordinate strategy were adopted to describe the geometric nonlinearity of the frame.The relationship between displacements of the CFST frame before and after deformation was based on Approximate Updated Lagrange(AUL) description.The increment equilibrium equations were found on virtual work principle.The nonlinear equations were solved by displacement increment method.The calculated results agree well with the tested results.The results show that the finite element analysis based on fiber beam-column elements was reasonable to predict the performance of CFST frames because the method can consider the yield and plastic extending within the sections and along the elements.The initial imperfect and residual stress can be included too.Parametric study was performed based on the FEA model and some useful conclusions were obtained for correlative researcher and designer.
引文
[1]Matsui C.Strength and behavior of frames with concretefilled square steel tubular columns under earthquake loading[C]//Proceeding of lst International Specialty Conferenceon CFST.Harbin:Harbin Institute of Technology,1985:143-146.
[2]Morino S,Kawaguchi J,Yasuzaki C,Kanazawa S.Behavior of concrete filled steel tubular three-dimensionalsubassemblages[C]//Proceeding of the EngineeringFoundation Conference on Composite Construction in Steeland Concrete II.Potosi,USA:ASCE,1993:726-741.
[3]Kawaguchi J,Morino S,Sugimoto T.Elasto-plasticbehavior of concrete-filled steel tubular frames[C]//Proceedings of the Engineering Foundation Conference onSteel and Concrete Composite Construction III.New York,USA:ASCE,1997:272-281.
[4]张文福.单层钢管混凝土框架恢复力特性研究[D].哈尔滨:哈尔滨工业大学,2000.(Zhang Wenfu.Researchon resilience performance of single floor concrete-filled steeltubular frame[D].Harbin:Harbin University ofTechnology,2000.(in Chinese))
[5]李斌,薛刚,张园.钢管混凝土框架结构抗震性能试验研究[J].地震工程与工程振动,2002,22(5):53-56.(LiBin,Xue Gang,Zhang Yuan.Experimental study onbehaviors of concrete filled steel tubular frame[J].Earthquake Engineering and Engineering Vibration,2002,22(5):53-56.(in Chinese))
[6]王来,王铁成,陈倩.低周反复荷载下方钢管混凝土框架抗震性能的试验研究[J].地震工程与工程振动,2003,23(3):113-117.(Wang Lai,Wang Tiecheng,Chen Qian.Experimental research on seismic performances of jointreinforced with inner ring stiffener of concrete-filled squaretubular frame[J].Earthquake Engineering and EngineeringVibration,2003,23(3):113-117.(in Chinese))
[7]许成祥.钢管混凝土框架结构抗震性能的试验与理论研究[D].天津:天津大学,2003.(Xu Chengxiang.Experimental and theoretical research on seismic behavior ofconcrete-filled steel tubular frames[D].Tianjin:TianjinUniversity,2003.(in Chinese))
[8]王文达,韩林海,陶忠.钢管混凝土柱-钢梁平面框架抗震性能的试验研究[J].建筑结构学报,2006,27(3):48-58.(WANG Wenda,HAN Linhai,TAO Zhong.Experimental research on seismic behaviour of concrete-filled CHS and SHS columns and steel beam planar frames[J].Journal of Building Structures,2006,27(3):48-58.(in Chinese))
[9]孙修礼.高层钢管混凝土结构体系设计方法及试验研究[D].南京:东南大学,2006.(Sun Xiuli.Design methodresearch and experimental research on tall bulidings withconcrete-filled steel tubular structure[D].Nanjing:Southeast University,2006.(in Chinese))
[10]丁阳,许成祥,戴学新等.钢管混凝土框架结构抗震性能的非线性有限元分析[J].建筑结构,2004,34(1):7-10.(Ding Yang,Xu Chengxiang,Dai Xuexin,et al.Nonlinearfinite element analysis on the seismic behavior of concrete-filled steel tubular frame[J].Building Structure,2004,34(1):7-10.(in Chinese))
[11]王铁成,卢明奇.轴压比对方钢管混凝土框架延性影响的有限元分析[J].吉林大学学报(工学版),2005,35(1):70-75.(Wang Tiecheng,Lu Mingqi.Finite elementanalysis of effect of axial load level on ductility of CFRTframes[J].Journal of Jilin University(Engineering andTechnology Edition),2005,35(1):70-75.(inChinese))
[12]聂建国,秦凯,肖岩.方钢管混凝土框架结构的push-over分析[J].工业建筑,2005,35(3):68-70.(Nie Jianguo,Qin Kai,Xiao Yan.Push-over analysis on the seismicbehavior of a concrete-filled rectangular tubular framestructure[J].Industrial Construction,2005,35(3):68-70.(in Chinese))
[13]Yang Y B,Kuo S R.Theory and analysis of nonlinearframed structures[M].Singapore/New York:PrenticeHall,1994.
[14]Chen W F,Toma S.Advanced analysis for steel frames:theory,software and applications[M].Boca Raton,Florida:CRC Press,1994.
[15]韩林海.钢管混凝土结构——理论与实践(第二版)[M].北京:科学出版社,2007.(Han Linhai.Concrete-filled steel tubular structures———theory and application(2nd Edition)[M].Beijing:China Science Press,2007.(in Chinese))
[16]沈聚敏,王传志,江见鲸.钢筋混凝土有限元与板壳极限分析[M].北京:清华大学出版社,1993.(Shen Jumin,Wang Chuanzhi,Jiang Jianjing.Limit analysis of plate andshell and reinforced concrete finite element model.Peking:Tsinghua University Press,1993.(in Chinese))
[17]吕西林,金国芳,吴晓涵.钢筋混凝土结构非线性有限元理论与应用[M].上海:同济大学出版社,1997.(LuXilin,Jin Guofang,Wu Xiaohan.Theory and applicationon nonlinear finite element of RC structures[M].Shanghai:Tongji University Press,1997.(in Chinese))
[18]Prion H G L,Boehme J.Beam-column behaviour of steeltubes filled with high strength concrete[C]//Proceeding ofthe 4th International Colloquium North American Session.New York:Structural Stability Research Council,1989,439-448.
[2]Morino S,Kawaguchi J,Yasuzaki C,Kanazawa S.Behavior of concrete filled steel tubular three-dimensionalsubassemblages[C]//Proceeding of the EngineeringFoundation Conference on Composite Construction in Steeland Concrete II.Potosi,USA:ASCE,1993:726-741.
[3]Kawaguchi J,Morino S,Sugimoto T.Elasto-plasticbehavior of concrete-filled steel tubular frames[C]//Proceedings of the Engineering Foundation Conference onSteel and Concrete Composite Construction III.New York,USA:ASCE,1997:272-281.
[4]张文福.单层钢管混凝土框架恢复力特性研究[D].哈尔滨:哈尔滨工业大学,2000.(Zhang Wenfu.Researchon resilience performance of single floor concrete-filled steeltubular frame[D].Harbin:Harbin University ofTechnology,2000.(in Chinese))
[5]李斌,薛刚,张园.钢管混凝土框架结构抗震性能试验研究[J].地震工程与工程振动,2002,22(5):53-56.(LiBin,Xue Gang,Zhang Yuan.Experimental study onbehaviors of concrete filled steel tubular frame[J].Earthquake Engineering and Engineering Vibration,2002,22(5):53-56.(in Chinese))
[6]王来,王铁成,陈倩.低周反复荷载下方钢管混凝土框架抗震性能的试验研究[J].地震工程与工程振动,2003,23(3):113-117.(Wang Lai,Wang Tiecheng,Chen Qian.Experimental research on seismic performances of jointreinforced with inner ring stiffener of concrete-filled squaretubular frame[J].Earthquake Engineering and EngineeringVibration,2003,23(3):113-117.(in Chinese))
[7]许成祥.钢管混凝土框架结构抗震性能的试验与理论研究[D].天津:天津大学,2003.(Xu Chengxiang.Experimental and theoretical research on seismic behavior ofconcrete-filled steel tubular frames[D].Tianjin:TianjinUniversity,2003.(in Chinese))
[8]王文达,韩林海,陶忠.钢管混凝土柱-钢梁平面框架抗震性能的试验研究[J].建筑结构学报,2006,27(3):48-58.(WANG Wenda,HAN Linhai,TAO Zhong.Experimental research on seismic behaviour of concrete-filled CHS and SHS columns and steel beam planar frames[J].Journal of Building Structures,2006,27(3):48-58.(in Chinese))
[9]孙修礼.高层钢管混凝土结构体系设计方法及试验研究[D].南京:东南大学,2006.(Sun Xiuli.Design methodresearch and experimental research on tall bulidings withconcrete-filled steel tubular structure[D].Nanjing:Southeast University,2006.(in Chinese))
[10]丁阳,许成祥,戴学新等.钢管混凝土框架结构抗震性能的非线性有限元分析[J].建筑结构,2004,34(1):7-10.(Ding Yang,Xu Chengxiang,Dai Xuexin,et al.Nonlinearfinite element analysis on the seismic behavior of concrete-filled steel tubular frame[J].Building Structure,2004,34(1):7-10.(in Chinese))
[11]王铁成,卢明奇.轴压比对方钢管混凝土框架延性影响的有限元分析[J].吉林大学学报(工学版),2005,35(1):70-75.(Wang Tiecheng,Lu Mingqi.Finite elementanalysis of effect of axial load level on ductility of CFRTframes[J].Journal of Jilin University(Engineering andTechnology Edition),2005,35(1):70-75.(inChinese))
[12]聂建国,秦凯,肖岩.方钢管混凝土框架结构的push-over分析[J].工业建筑,2005,35(3):68-70.(Nie Jianguo,Qin Kai,Xiao Yan.Push-over analysis on the seismicbehavior of a concrete-filled rectangular tubular framestructure[J].Industrial Construction,2005,35(3):68-70.(in Chinese))
[13]Yang Y B,Kuo S R.Theory and analysis of nonlinearframed structures[M].Singapore/New York:PrenticeHall,1994.
[14]Chen W F,Toma S.Advanced analysis for steel frames:theory,software and applications[M].Boca Raton,Florida:CRC Press,1994.
[15]韩林海.钢管混凝土结构——理论与实践(第二版)[M].北京:科学出版社,2007.(Han Linhai.Concrete-filled steel tubular structures———theory and application(2nd Edition)[M].Beijing:China Science Press,2007.(in Chinese))
[16]沈聚敏,王传志,江见鲸.钢筋混凝土有限元与板壳极限分析[M].北京:清华大学出版社,1993.(Shen Jumin,Wang Chuanzhi,Jiang Jianjing.Limit analysis of plate andshell and reinforced concrete finite element model.Peking:Tsinghua University Press,1993.(in Chinese))
[17]吕西林,金国芳,吴晓涵.钢筋混凝土结构非线性有限元理论与应用[M].上海:同济大学出版社,1997.(LuXilin,Jin Guofang,Wu Xiaohan.Theory and applicationon nonlinear finite element of RC structures[M].Shanghai:Tongji University Press,1997.(in Chinese))
[18]Prion H G L,Boehme J.Beam-column behaviour of steeltubes filled with high strength concrete[C]//Proceeding ofthe 4th International Colloquium North American Session.New York:Structural Stability Research Council,1989,439-448.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心