混凝土结构抗震非线性分析模型、方法及算例
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摘要
结构在大震作用下会进入非线性并产生损伤,准确预测地震荷载下钢筋混凝土结构的非线性行为,对评估混凝土结构的抗震安全性具有重要意义。清华大学土木工程系近年来开发的适用于钢筋混凝土杆系结构的纤维模型THUFIBER程序,适用于预应力混凝土杆系结构的纤维模型NAT-PPC程序,以及适用于剪力墙结构的分层壳墙元模型的非线性分析程序。这些程序可以直接将构件的非线性节点力(轴力、剪力和弯矩)、节点变形(平动和转动)和材料的非线性应力-应变行为联系起来,可以模拟各种复杂受力构件的滞回行为和轴力-双向弯曲-剪切耦合行为,借助通用有限元程序方便的前后处理功能和非线性计算功能,该程序可以准确模拟地震作用下结构的三维非线性地震响应,也可模拟爆炸、倒塌等极端非线性行为,通过一系列的数值分析与试验结果的对比和工程应用算例,说明所研发程序的精度和计算能力。
Structures may enter nonlinear stage in strong earthquake, precise prediction for the nonlinear behavior of reinforced concrete (RC) structures in earthquake is important to assess the earthquake resistant safety of the structures. This paper presents the programs recently developed by the Civil Engineering Department of Tsinghua University, which include the fiber model THUFIBER for RC frames, the program NAT-PPC for prestressed concrete (PC) frames, and the multi-layer shell element based shear wall program. These programs can connect the nonlinear nodal force/nodal displacement relationship of elements directly with the nonlinear stress/strain relationship of materials. Complicated cyclic behaviors and coupled axial force-biaixal bending-shear behaviors of RC structures can be correctly simulated. And furthermore, with the convenient pre/post processing and the nonlinear capacity of general finite element software, these programs not only can precisely simulate nonlinear seismic response of spatial strutures, but also can simulate some extreme nonlinear problems such as blast or collapse. The precision and the capacity of the programs are illustrated in this paper with a series of applications.
Structures may enter nonlinear stage in strong earthquake, precise prediction for the nonlinear behavior of reinforced concrete (RC) structures in earthquake is important to assess the earthquake resistant safety of the structures. This paper presents the programs recently developed by the Civil Engineering Department of Tsinghua University, which include the fiber model THUFIBER for RC frames, the program NAT-PPC for prestressed concrete (PC) frames, and the multi-layer shell element based shear wall program. These programs can connect the nonlinear nodal force/nodal displacement relationship of elements directly with the nonlinear stress/strain relationship of materials. Complicated cyclic behaviors and coupled axial force-biaixal bending-shear behaviors of RC structures can be correctly simulated. And furthermore, with the convenient pre/post processing and the nonlinear capacity of general finite element software, these programs not only can precisely simulate nonlinear seismic response of spatial strutures, but also can simulate some extreme nonlinear problems such as blast or collapse. The precision and the capacity of the programs are illustrated in this paper with a series of applications.
引文
[1]方鄂华.高层建筑钢筋混凝土结构概念设计[M].北京:机械工业出版社,2004.Fang Ehua.Conceptual design for high rise RC structures[M].Beijing:China Machinery Press,2004.(in Chinese)
[2]Spacone E,Filippou F,Taucer F.Fiber beam-column modeling for non-linear analysis of R/C frames[J].Journal of Earthquake Engineering and Structural Dynamics,1996,25(7):711~725.
[3]D’Ambrisi A,Filippou F.Modeling of cyclic shear behavior in RC members[J].Journal of Structural Engineering,ASCE,1999,125(10):1143~1149.
[4]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报(工学版),2005,39(7):1003~1008.Qin Conglu,Zhang Aihui.Nonlinear time history analysis based on section fiber model[J].Journal of Zhejiang University(Engineering Science),2005,39(7):1003~1008.(in Chinese)
[5]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 model in static nonlinear analysis for planar frame[J].Journal of Southeast University(Natural Science Edition),2005,35(Sup.I):129~132.(in Chinese)
[6]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,2006,126(2):7~11.Lu Xinzheng,Miao Zhiwei,Jiang Jianjing,Ye Lieping.Collapse simulation of high-rise structure of concrete under action of static and dynamic load[J].Earthquakeresearch in Shanxi,2006,126(2):7~11.(in Chinese)
[7]Légeron F,Paultre P.Uniaxial confinement model for normal and high-strength concrete columns[J].Journal of Structural.Engineering.,ASCE,2005,129(2):241~252.
[8]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.Jiang Jianjing,Lu Xinzheng,Ye Lieping.Finite element analysis of concrete structures[M].Beijing:Tsinghua University Press,2005.(in Chinese)
[9]Légeron F,Paultre P,Mazar J.Damage mechanics modeling of nonlinear seismic behavior of concrete structures[J]Journal of Structural Engineering,ASCE,2005,131(6):946~954.
[10]Zatar W,Mutsuyoshi H.Residual displacements of concrete bridge piers subjected to near field earthquakes[J].ACI Structural Journal,2002,99(6):740~749.
[11]李静.矩形截面FS约束混凝土柱抗震性能的试验研究与理论分析[D].北京:清华大学,2003.Li Jing.Experimental investigation and theoretical analysis on seismic behavior of FS confined concrete columns[D].Beijing:Tsinghua University,2003.(in Chinese)
[12]苏小卒.预应力混凝土框架抗震性能研究[M].上海:上海科学技术出版社,1998.Su Xiaozu.Study on earthquake resistant behaviour of prestressed concrete frames[M].Shanghai:Shanghai Science and Technology Press,1998.(in Chinese)
[13]吕西林,卢文生.纤维墙元模型在剪力墙结构非线性分析中的应用[J].力学季刊,2005,26(1):72~80.Lu Xilin,Lu Wensheng.Application of fiber wall element model in nonlinear analysis of shear wall structure[J].Chinese Quarterly of Mechanics,2005,26(1):72~80.(in Chinese)
[14]门俊,陆新征,宋二祥,陈肇元.分层壳模型在剪力墙结构计算中的应用[J].防护工程,2006,28(3):9~13.Men Jun,Lu Xinzheng,Song Erxiang,Chen Zhaoyuan.Application of multi-layer model in shell wall computation[J].Protective Engineering,2006,28(3):9~13.(in Chinese)
[15]Bazant Z P,Caner F C,Carol I,Adley M D,Akers S A.Microplane model M4for concrete.I:formulation with work-conjugate deviatoric stress[J].Journal of Engineering Mechanics,ASCE,2000,126(9):944~953.
[16]魏勇.外钢框架—混凝土核心筒抗震性能及设计方法研究[D].北京:清华大学,2006.Wei Yong.Research on seismic behavior and design method for reinforced concrete core wall-steel frame hybrid structures[D].Beijing:Tsinghua University,2006.(in Chinese)
[17]方鄂华,钱稼茹,叶列平.高层建筑结构设计[M].北京:中国建筑工业出版社,2003.Fang E’hua.Qian Jiaru,Ye Lieping.Design for high-rise building structures[M].Beijing:China Architecture and Building Press,2003.(in Chinese)
[2]Spacone E,Filippou F,Taucer F.Fiber beam-column modeling for non-linear analysis of R/C frames[J].Journal of Earthquake Engineering and Structural Dynamics,1996,25(7):711~725.
[3]D’Ambrisi A,Filippou F.Modeling of cyclic shear behavior in RC members[J].Journal of Structural Engineering,ASCE,1999,125(10):1143~1149.
[4]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报(工学版),2005,39(7):1003~1008.Qin Conglu,Zhang Aihui.Nonlinear time history analysis based on section fiber model[J].Journal of Zhejiang University(Engineering Science),2005,39(7):1003~1008.(in Chinese)
[5]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 model in static nonlinear analysis for planar frame[J].Journal of Southeast University(Natural Science Edition),2005,35(Sup.I):129~132.(in Chinese)
[6]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,2006,126(2):7~11.Lu Xinzheng,Miao Zhiwei,Jiang Jianjing,Ye Lieping.Collapse simulation of high-rise structure of concrete under action of static and dynamic load[J].Earthquakeresearch in Shanxi,2006,126(2):7~11.(in Chinese)
[7]Légeron F,Paultre P.Uniaxial confinement model for normal and high-strength concrete columns[J].Journal of Structural.Engineering.,ASCE,2005,129(2):241~252.
[8]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.Jiang Jianjing,Lu Xinzheng,Ye Lieping.Finite element analysis of concrete structures[M].Beijing:Tsinghua University Press,2005.(in Chinese)
[9]Légeron F,Paultre P,Mazar J.Damage mechanics modeling of nonlinear seismic behavior of concrete structures[J]Journal of Structural Engineering,ASCE,2005,131(6):946~954.
[10]Zatar W,Mutsuyoshi H.Residual displacements of concrete bridge piers subjected to near field earthquakes[J].ACI Structural Journal,2002,99(6):740~749.
[11]李静.矩形截面FS约束混凝土柱抗震性能的试验研究与理论分析[D].北京:清华大学,2003.Li Jing.Experimental investigation and theoretical analysis on seismic behavior of FS confined concrete columns[D].Beijing:Tsinghua University,2003.(in Chinese)
[12]苏小卒.预应力混凝土框架抗震性能研究[M].上海:上海科学技术出版社,1998.Su Xiaozu.Study on earthquake resistant behaviour of prestressed concrete frames[M].Shanghai:Shanghai Science and Technology Press,1998.(in Chinese)
[13]吕西林,卢文生.纤维墙元模型在剪力墙结构非线性分析中的应用[J].力学季刊,2005,26(1):72~80.Lu Xilin,Lu Wensheng.Application of fiber wall element model in nonlinear analysis of shear wall structure[J].Chinese Quarterly of Mechanics,2005,26(1):72~80.(in Chinese)
[14]门俊,陆新征,宋二祥,陈肇元.分层壳模型在剪力墙结构计算中的应用[J].防护工程,2006,28(3):9~13.Men Jun,Lu Xinzheng,Song Erxiang,Chen Zhaoyuan.Application of multi-layer model in shell wall computation[J].Protective Engineering,2006,28(3):9~13.(in Chinese)
[15]Bazant Z P,Caner F C,Carol I,Adley M D,Akers S A.Microplane model M4for concrete.I:formulation with work-conjugate deviatoric stress[J].Journal of Engineering Mechanics,ASCE,2000,126(9):944~953.
[16]魏勇.外钢框架—混凝土核心筒抗震性能及设计方法研究[D].北京:清华大学,2006.Wei Yong.Research on seismic behavior and design method for reinforced concrete core wall-steel frame hybrid structures[D].Beijing:Tsinghua University,2006.(in Chinese)
[17]方鄂华,钱稼茹,叶列平.高层建筑结构设计[M].北京:中国建筑工业出版社,2003.Fang E’hua.Qian Jiaru,Ye Lieping.Design for high-rise building structures[M].Beijing:China Architecture and Building Press,2003.(in Chinese)
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