钢筋混凝土短肢剪力墙恢复力模型研究
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摘要
恢复力模型是根据大量从试验中获得的恢复力与变形的关系曲线经适当抽象和简化而得到的实用数学模型,对钢筋混凝土结构抗震性能和计算机模拟有十分重要的意义。本文基于理论公式及短肢剪力墙低周反复试验数据,建立了往复荷载作用下构件的四折线型恢复力模型,并给出了滞回模型,恢复力模型与试验结果较为吻合。此外,针对恢复力模型中的折点刚度突变问题,推导出利用拟静力法求解结构动力反应时折线型恢复力模型中的加载点和卸载点这两类折点的计算公式。计算中避免迭代,结果较准确且便于计算机编程及实际应用。
The restoring force model is accessed to lots of experimental researches,and it is just a practical mathematical model that presents the relationship between the load and displacement through an appropriate abstraction and simplification. Based upon the theoretic formulas and testing data,the four-linear restoring model under low cyclic load that is in good agreement with the experiment is established and the hysteresis model is proposed. Moreover,aimed at the stiffness turning point of restoring force model,a formula using pseudo-static method to solve the problems of nonlinear dynamic equations is devised. Iteration calculation is avoided in calculation,and it is convenient for computer programming with a more accurate result.
The restoring force model is accessed to lots of experimental researches,and it is just a practical mathematical model that presents the relationship between the load and displacement through an appropriate abstraction and simplification. Based upon the theoretic formulas and testing data,the four-linear restoring model under low cyclic load that is in good agreement with the experiment is established and the hysteresis model is proposed. Moreover,aimed at the stiffness turning point of restoring force model,a formula using pseudo-static method to solve the problems of nonlinear dynamic equations is devised. Iteration calculation is avoided in calculation,and it is convenient for computer programming with a more accurate result.
引文
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[3]Baker A L L,Amarakone A M N.Inelastic hyperstatic frames analysis[A].Proc.Int.Symp.On the Flexural Mechanics of Reinfoced Concret[C]∥ASCE-ACI,Nov,1964 Miami,USA.
[4]Clough R W,Johnston S B.Effect of stiffness degradation on earthquake ductility requirements[A].Proc.2th Japan Earth.Engng.Symp[C]∥1966,Tokyo Japan.
[5]Takeda T,Sozen M A,Nielson N N.Reinforced concrete response to simulated earthquakes[J].Journal of Structural Division,ASCE,1970,96(12):2557-2572.
[6]Saiidi M.Hysteretic models for reinforced concrete[J].Journal of Structural Division,ASCE,1982,108(5):1077-1087.
[7]Park Y J,Reinhorn A M,Kunnath S K.IDARC:inelastic damage analysis of reinforced concrete frame-shear-wall structures[R].Technical Report,No.NCEER-87-0008,State Univ.of New York,1987.
[8]Saatcioglu M,Alsiwat J M,Ozcebe G.Hysteretic behavior of anchorage slip in R/C members[J].Journal of Structural Engineering,ASCE,1992,118(9):2439-2458.
[9]朱伯龙,吴明舜,张琨联.在周期荷载作用下钢筋混凝土构件滞回曲线考虑裂面接触效应的研究[J].同济大学学报,1980(1):18-24.ZHU Bolong,WU Mingshun,ZHANG Kunlian.A study of hysteresis curve of reinforced concrete members under cyclic loading taking account of local contact effects of cracked section[J].Journal of Tongji University,1980(1):18-24.(in Chinese)
[10]陈杨泽,梅仲华.对型钢混凝土柱恢复力模型的探讨[J].武汉理工大学学报,2003,25(7),42-43.CHEN Yangze,MEI Zhonghua.Study on steel reinforced concrete column of hysteretic model[J].Journal of Wuhan University of Technology,2003,25(7),42-43.(in Chinese)
[11]李宏男,李兵.钢筋混凝土剪力墙抗震恢复力模型及试验研究[J].建筑结构学报,2004,10,35-42.LI Hongnan,LI Bing.Experimental study on seismic restoring performance of reinforced concrete shear walls[J].Journal of Building Structures,2004,10,35-42.(in Chinese)
[12]郭子雄,张志伟,黄群贤,等.型钢混凝土柱恢复力模型试验研究[J].地震工程与工程振动,2009,10,79-85.GUO Zixiong,ZHANG Zhiwei,HUANG Qunxian.Experimental study on hysteretic model of SRC columns[J].Journal of Earthquake Engineering and Engineering Vibration,2009,10,79-85.(in chinese)
[13]连星,叶献国,蒋庆.叠合板式剪力墙恢复力模型特征参数计算方法[J].华侨大学学报:自然科学版,2010,1,88-94.LIAN Xing,YE Xianguo,JIANG Qing.The calculating method about character parameter of the superimposed slab shear walls restoring force model[J].Journal of Huaqiao University:Natural science,2010,1,88-94.(in Chinese)
[14]李俊华,李玉顺,王建民,等.型钢混凝土柱粘结滑移本构关系与粘结滑移恢复力模型[J].土木工程学报,2010,3,46-52.LI Junhua,LI Yushun,WANG Jianmin,et al.Bond-slip constitutive and bond-slip resilience model of shape-steel reinforced concrete columns[J].China Civil Engineering Journal,2010,3,46 52.(in Chinese)
[15]邓宗才,李建辉.混杂FRP加固腐蚀混凝土柱恢复力模型研究[J].工程力学,2011,28(8),151-159.DENG Zongcai,LI Jianhui.Study on restoring force model of RC corroded columns with hybrid FRP[J].Engineering Mechanics,2011,28(8):151-159.(in Chinese)
[16]曾磊,许成祥,郑山锁等.型钢高强高性能混凝土框架节点P-Δ恢复力模型[J].武汉理工大学学报,2012,34(9),104-108.ZENG Lei,XU Chengxiang,ZHENG Shansuo.Research on restoring force model of SRHSHPC frame joints[J].Journal of Wuhan University of Technology,2012,34(9),104-108.(in Chinese)
[17]王德斌,李宏男.不同加载条件下钢筋混凝土构件力学特性及影响规律研究[J].振动与冲击,2013,32(5),113-118.WANG Debin,LI Hongnan.Mechanical behaviors and effects of reinforced concrete member under different loadings[J].Journal of Vibration and Shock,2013,32(5):113-118.(in Chinese)
[18]李青宁,李晓蕾,阎艳伟,等.钢筋混凝土短肢剪力墙抗震性能试验研究[J].建筑结构学报,2011,32(4):53-62.LI Qingning,LI Xiaolei,YAN Yanwei,et al.Experimental research on seismic performance of reinforced concrete short-leg shear wall[J].Journal of Buidling Structures,2011,32(4):53-62.(in Chinese)
[19]肖明葵,刘纲,白绍良.滞回恢复力模型中求折点的一种方法[J].重庆大学学报,2002,1,25(1):13-16.XIAO Mingkui,LIU Gang,BAI Shaoliang.A method of computing rigidity turning point in hysteretic restoring force models[J].Journal of Chongqing University:Natural Science Edition,2002,1,25(1):13-16.(in Chinese)
[20]包世华.结构动力学[M].武汉理工大学出版社,2005.BAO Shihua.Structural dynamics[M].Wuhan University of Technology Press,2005.(in Chinese)
[2]Sinha B.P.Gerstle H K,Tulin L G.Stress Strain relationships for concrete under cyclic loading[J].Journal of ACI,1964,61(2),195~211.
[3]Baker A L L,Amarakone A M N.Inelastic hyperstatic frames analysis[A].Proc.Int.Symp.On the Flexural Mechanics of Reinfoced Concret[C]∥ASCE-ACI,Nov,1964 Miami,USA.
[4]Clough R W,Johnston S B.Effect of stiffness degradation on earthquake ductility requirements[A].Proc.2th Japan Earth.Engng.Symp[C]∥1966,Tokyo Japan.
[5]Takeda T,Sozen M A,Nielson N N.Reinforced concrete response to simulated earthquakes[J].Journal of Structural Division,ASCE,1970,96(12):2557-2572.
[6]Saiidi M.Hysteretic models for reinforced concrete[J].Journal of Structural Division,ASCE,1982,108(5):1077-1087.
[7]Park Y J,Reinhorn A M,Kunnath S K.IDARC:inelastic damage analysis of reinforced concrete frame-shear-wall structures[R].Technical Report,No.NCEER-87-0008,State Univ.of New York,1987.
[8]Saatcioglu M,Alsiwat J M,Ozcebe G.Hysteretic behavior of anchorage slip in R/C members[J].Journal of Structural Engineering,ASCE,1992,118(9):2439-2458.
[9]朱伯龙,吴明舜,张琨联.在周期荷载作用下钢筋混凝土构件滞回曲线考虑裂面接触效应的研究[J].同济大学学报,1980(1):18-24.ZHU Bolong,WU Mingshun,ZHANG Kunlian.A study of hysteresis curve of reinforced concrete members under cyclic loading taking account of local contact effects of cracked section[J].Journal of Tongji University,1980(1):18-24.(in Chinese)
[10]陈杨泽,梅仲华.对型钢混凝土柱恢复力模型的探讨[J].武汉理工大学学报,2003,25(7),42-43.CHEN Yangze,MEI Zhonghua.Study on steel reinforced concrete column of hysteretic model[J].Journal of Wuhan University of Technology,2003,25(7),42-43.(in Chinese)
[11]李宏男,李兵.钢筋混凝土剪力墙抗震恢复力模型及试验研究[J].建筑结构学报,2004,10,35-42.LI Hongnan,LI Bing.Experimental study on seismic restoring performance of reinforced concrete shear walls[J].Journal of Building Structures,2004,10,35-42.(in Chinese)
[12]郭子雄,张志伟,黄群贤,等.型钢混凝土柱恢复力模型试验研究[J].地震工程与工程振动,2009,10,79-85.GUO Zixiong,ZHANG Zhiwei,HUANG Qunxian.Experimental study on hysteretic model of SRC columns[J].Journal of Earthquake Engineering and Engineering Vibration,2009,10,79-85.(in chinese)
[13]连星,叶献国,蒋庆.叠合板式剪力墙恢复力模型特征参数计算方法[J].华侨大学学报:自然科学版,2010,1,88-94.LIAN Xing,YE Xianguo,JIANG Qing.The calculating method about character parameter of the superimposed slab shear walls restoring force model[J].Journal of Huaqiao University:Natural science,2010,1,88-94.(in Chinese)
[14]李俊华,李玉顺,王建民,等.型钢混凝土柱粘结滑移本构关系与粘结滑移恢复力模型[J].土木工程学报,2010,3,46-52.LI Junhua,LI Yushun,WANG Jianmin,et al.Bond-slip constitutive and bond-slip resilience model of shape-steel reinforced concrete columns[J].China Civil Engineering Journal,2010,3,46 52.(in Chinese)
[15]邓宗才,李建辉.混杂FRP加固腐蚀混凝土柱恢复力模型研究[J].工程力学,2011,28(8),151-159.DENG Zongcai,LI Jianhui.Study on restoring force model of RC corroded columns with hybrid FRP[J].Engineering Mechanics,2011,28(8):151-159.(in Chinese)
[16]曾磊,许成祥,郑山锁等.型钢高强高性能混凝土框架节点P-Δ恢复力模型[J].武汉理工大学学报,2012,34(9),104-108.ZENG Lei,XU Chengxiang,ZHENG Shansuo.Research on restoring force model of SRHSHPC frame joints[J].Journal of Wuhan University of Technology,2012,34(9),104-108.(in Chinese)
[17]王德斌,李宏男.不同加载条件下钢筋混凝土构件力学特性及影响规律研究[J].振动与冲击,2013,32(5),113-118.WANG Debin,LI Hongnan.Mechanical behaviors and effects of reinforced concrete member under different loadings[J].Journal of Vibration and Shock,2013,32(5):113-118.(in Chinese)
[18]李青宁,李晓蕾,阎艳伟,等.钢筋混凝土短肢剪力墙抗震性能试验研究[J].建筑结构学报,2011,32(4):53-62.LI Qingning,LI Xiaolei,YAN Yanwei,et al.Experimental research on seismic performance of reinforced concrete short-leg shear wall[J].Journal of Buidling Structures,2011,32(4):53-62.(in Chinese)
[19]肖明葵,刘纲,白绍良.滞回恢复力模型中求折点的一种方法[J].重庆大学学报,2002,1,25(1):13-16.XIAO Mingkui,LIU Gang,BAI Shaoliang.A method of computing rigidity turning point in hysteretic restoring force models[J].Journal of Chongqing University:Natural Science Edition,2002,1,25(1):13-16.(in Chinese)
[20]包世华.结构动力学[M].武汉理工大学出版社,2005.BAO Shihua.Structural dynamics[M].Wuhan University of Technology Press,2005.(in Chinese)
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