组合构件双重非线性分析模型研究与应用
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摘要
以超高层建筑中当前广泛应用的杆系组合构件为研究对象,采用三维空间梁单元对其进行复杂受力状态下的双重非线性分析。为贴近实际工程同时简化计算,首先根据有限元方法和最小势能原理建立单元考虑几何非线性的弹性切线刚度矩阵;然后通过划分截面广义应变将单元截面刚度矩阵分离为弹性刚度矩阵与塑性刚度矩阵,在假定广义应变增量分布状态基础上,基于纤维模型法推导出单元塑性刚度矩阵;最后将考虑几何非线性的弹性刚度矩阵与塑性刚度矩阵集合成整体刚度矩阵,根据构件自身特性选取合理材料本构关系及数值计算方法进行构件非线性受力分析。数值分析结果表明,该文模型与方法概念清晰、计算精度高,还可应用于钢筋混凝土构件的受力性能非线性分析。
Composite components are widely applied in super high-rise buildings. The double nonlinear behavior of composite components was analyzed by adopting three-dimensional beam element. To match the actual situation and simplify the calculation procedure, elastic tangent stiffness matrix was set up using finite element method according to the principle of minimum potential energy, in which the geometric nonlinearity is also considered; then the element section stiffness matrix was divided into elastic stiffness matrix and plastic stiffness matrix by separating section generalized strain. Subsequently, by assuming the generalized strain increment, the element plastic stiffness matrix was obtained using the fiber model method. Finally, the elastic stiffness matrix, which considers geometric nonlinearity, was combined with the plastic stiffness matrix to obtain the global stiffness matrix. The nonlinear analysis was carried out, showing that the proposed method is reasonably accurate and can be applied to nonlinear analysis of reinforced concrete members.
Composite components are widely applied in super high-rise buildings. The double nonlinear behavior of composite components was analyzed by adopting three-dimensional beam element. To match the actual situation and simplify the calculation procedure, elastic tangent stiffness matrix was set up using finite element method according to the principle of minimum potential energy, in which the geometric nonlinearity is also considered; then the element section stiffness matrix was divided into elastic stiffness matrix and plastic stiffness matrix by separating section generalized strain. Subsequently, by assuming the generalized strain increment, the element plastic stiffness matrix was obtained using the fiber model method. Finally, the elastic stiffness matrix, which considers geometric nonlinearity, was combined with the plastic stiffness matrix to obtain the global stiffness matrix. The nonlinear analysis was carried out, showing that the proposed method is reasonably accurate and can be applied to nonlinear analysis of reinforced concrete members.
引文
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[11]Elchalakani M,Zhao X L,Grzebieta R H.Concrete-filled circular steel tubes subjects to pure bending[J].Journal of Constructional Steel Research,2001,57(11):1141―1168.
[12]Yoshida Y,Masuda N,Morimoto T.An incremental formulation for computer analysis of space framed structures[J].Journal of Structural Mechanics and Earthquake Engineering,JSCE,1980,300:31―32.
[13]严志刚,王德军,盛洪飞.钢管混凝土三维非线性梁单元的研究与应用[J].哈尔滨工业大学学报,2003,35(3):334―337,341.Yan Zhigang,Wang Dejun,Sheng Hongfei.Application of3D nonlinear beam elements of concrete filled steel tube[J].Journal of Harbin Institute of Technology,2003,35(3):334―337,341.(in Chinese)
[14]叶列平,Asad U Q,马千里.高强钢筋对框架结构抗震破坏机制和性能控制的研究[J].工程抗震与加固改造,2006,28(1):18―24,30.Ye Lieping,Asad U Q,Ma Qianli.Study on Failure mechanism and seismic performance of passive control RC frame against earthquake[J].Earthquake Resistant Engineering and Retrofitting,2006,28(1):18―24,30.(in Chinese)
[2]韩林海.钢管混凝土结构-理论与实践[M].北京:科学出版社,2004.Han Linhai.Concrete-filled steel tubular structure-theory and practice[M].Beijing:Science Press,2004.(in Chinese)
[3]李学平,吕西林,郭少春.反复荷载下钢管混凝土柱的抗震性能I:试验研究[J].地震工程与工程振动,2005,25(5):95―103.Li Xueping,Lu Xilin,Guo Shaochun.Seismic behavior of CFRT columns under cyclic loadingⅠ:Experimental study[J].Earthquake Engineering and Engineering Vibration,2005,25(5):95―103.(in Chinese)
[4]聂建国,刘明,叶列平.钢-混凝土组合结构[M].北京:中国建筑工业出版社,2005.Nie Jianguo Liu Ming,Ye Lieping.Steel-concrete composite structure[M].Beijing:China Architecture&Building Press,2005.(in Chinese)
[5]Aval S B B,Saadeghhvaziri M A,Golafshani A A.Comprehensive composite inelastic fiber element for cyclic analysis of concrete-filled steel tube columns[J].Journal of Engineering Mechanics,ASCE,2002,128(4):428―437.
[6]陈洪涛,钟善桐,张素梅.钢管混凝土结构双重非线性分析[J].哈尔滨建筑大学学报,2001,34(6):32―35.Chen Hongtao,Zhong Shantong,Zhang Sumei.Bi-nonlinear finite element analysis of concrete-filled steel tubular arch with truss ribs[J].Journal of Harbin University of Civil Engineering and Architecture,2001,34(6):32―35.(in Chinese)
[7]吴庆雄,陈宝春,韦建刚.钢管混凝土结构材料非线性的一种有限元分析方法[J].工程力学,2008,25(6):68―74.Wu Qingxiong,Chen Baochun,Wei Jiangang.A finite element mothod for analyzing material nonlinearity of concrete-filled steel tubular structures[J].Engineering Mechanics,2008,25(6):68―74.(in Chinese)
[8]杨勇,赵洪铁,薛建阳.型钢混凝土粘结机理与粘结强度的研究[J].西安建筑科技大学学报(自然科学版),2001,33(2):103―107.(in Chinese)Yang Yong,Zhao Hongtie,Xue Jianyang.Analysis of mechanism and strength of bond between steel and concrete in SRC structures[J].Journal of Xi’an University of Architecture&Technology,2001,33(2):103―107.(in Chinese)
[9]薛立红,蔡绍怀.钢管混凝土柱组合界面的粘结强度(上)[J].建筑科学,1996,12(3):22―28.Xue Lihong,Cai Shaohuai.Bond strength at the interface of concrete-filled steel tube columns(volume1)[J].Building Science,1996,12(3):22―28.(in Chinese)
[10]钟善桐.钢管混凝土中钢管与混凝土的共同工作[J].哈尔滨建筑大学学报,2001,34(1):6―10.Zhong Shantong.Co working of steel tube and concrete in concrete filled steel tube CFST members[J].Harbin University of Civil Engineering and Architecture,2001,34(1):6―10.(in Chinese)
[11]Elchalakani M,Zhao X L,Grzebieta R H.Concrete-filled circular steel tubes subjects to pure bending[J].Journal of Constructional Steel Research,2001,57(11):1141―1168.
[12]Yoshida Y,Masuda N,Morimoto T.An incremental formulation for computer analysis of space framed structures[J].Journal of Structural Mechanics and Earthquake Engineering,JSCE,1980,300:31―32.
[13]严志刚,王德军,盛洪飞.钢管混凝土三维非线性梁单元的研究与应用[J].哈尔滨工业大学学报,2003,35(3):334―337,341.Yan Zhigang,Wang Dejun,Sheng Hongfei.Application of3D nonlinear beam elements of concrete filled steel tube[J].Journal of Harbin Institute of Technology,2003,35(3):334―337,341.(in Chinese)
[14]叶列平,Asad U Q,马千里.高强钢筋对框架结构抗震破坏机制和性能控制的研究[J].工程抗震与加固改造,2006,28(1):18―24,30.Ye Lieping,Asad U Q,Ma Qianli.Study on Failure mechanism and seismic performance of passive control RC frame against earthquake[J].Earthquake Resistant Engineering and Retrofitting,2006,28(1):18―24,30.(in Chinese)
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