利用等效塑性铰模型对Park-Ang双参数地震损伤模型的改进
|
摘要
Park-Ang双参数地震损伤模型近似考虑了首次超越破坏和塑性累积损伤破坏联合作用的破坏机理,兼顾了最大变形和能量两种破坏准则,在基于性能的抗震设计中受到关注.既有的Park-Ang改进模型(M-Park-Ang模型)通过引入低周反复荷载作用下钢筋混凝土墩柱构件疲劳寿命方程和与加载路径有关的能量项加权因子,并结合构件极限滞回耗能与位移延性系数的关系,已能近似考虑加载路径的影响.M-Park-Ang模型引入了固定的临界位移延性系数以通过能量项考虑低周疲劳损伤效应,从而使大剪跨比墩柱试件的适用性受到了限制.本文利用墩柱拟静力试验数据,基于等效塑性铰模型对M-Park-Ang模型进行了修正,将临界位移延性系数与截面曲率延性系数相联系,使改进的M-Park-Ang模型(M-Park-Ang模型(N))能够考虑截面层次的破坏机理.墩柱试验结果验证表明,当试验试件尚未达到中等破坏状态时,M-Park-Ang(N)模型对其损伤的评估结果略偏小;而一旦进入中等破坏阶段以后,M-Park-Ang(N)模型的计算结果能体现试件破坏过程快速增长的趋势;M-Park-Ang(N)模型考虑墩柱剪跨比影响计算临界位移延性系数,对不同高度墩柱都具有较好的适应性.
The comprehensive function of first passage and cumulative damage effect can be considered approximately in the Park-Ang damage model which combines the deformation and energy damage criterions and more attention has been paid to it in the performance based design. The existed modified Park-Ang damage model,named as M-Park-Ang damage model,can take into account of the effects of loading path on damage by introducing the low-cycle fatigue life equation,energy weighted coefficient and the correlations between the ultimate hysteretic energy and the displacement ductility factor of RC specimens. But its applicability is limited when used to the RC specimens with large aspect ratios because of the use of the fixed critical displacement ductility factor in the calculation of the model. Based on the quasi-static tests of RC bridge columns,the M-Park-Ang damage model is further modified(named as M-Park-Ang(N) damage model) on the basis of equivalent plastic hinge model in this study. The correlation between the critical displacement ductility factor and the sectional curvature ductility factor is built to consider the failure mechanism in sections of the plastic zone of RC specimens. The results show that the damage indices of RC specimens are some little small by the M-Park-Ang(N) damage model when the damage is minor. However,the trend of rapid growth of damage in the end of the test loading process can be evaluated once severer damage occurs. As the critical displacement ductility factor is calculated according to the aspect ratio of the RC specimen the M-Park-Ang(N) damage model can be applicable for the columns with different heights.
The comprehensive function of first passage and cumulative damage effect can be considered approximately in the Park-Ang damage model which combines the deformation and energy damage criterions and more attention has been paid to it in the performance based design. The existed modified Park-Ang damage model,named as M-Park-Ang damage model,can take into account of the effects of loading path on damage by introducing the low-cycle fatigue life equation,energy weighted coefficient and the correlations between the ultimate hysteretic energy and the displacement ductility factor of RC specimens. But its applicability is limited when used to the RC specimens with large aspect ratios because of the use of the fixed critical displacement ductility factor in the calculation of the model. Based on the quasi-static tests of RC bridge columns,the M-Park-Ang damage model is further modified(named as M-Park-Ang(N) damage model) on the basis of equivalent plastic hinge model in this study. The correlation between the critical displacement ductility factor and the sectional curvature ductility factor is built to consider the failure mechanism in sections of the plastic zone of RC specimens. The results show that the damage indices of RC specimens are some little small by the M-Park-Ang(N) damage model when the damage is minor. However,the trend of rapid growth of damage in the end of the test loading process can be evaluated once severer damage occurs. As the critical displacement ductility factor is calculated according to the aspect ratio of the RC specimen the M-Park-Ang(N) damage model can be applicable for the columns with different heights.
引文
[1]Williams M S,Sexsmith R G.Seismic damage indices for concrete structures:a state-of-the-art review[J].Earthquake Spectra,1995,11(3):320-349
[2]Park Y-J,Ang A H-S.Mechanistic seismic damage model for reinforced concrete[J].Journal of Structure Engineering,1985,111(4):722-739
[3]Bertero R D,Bertero V V.Performance-based seismic engineering:The need for a reliable conceptual comprehensive approach[J].Earthquake Engineering&Structural Dynamics,2002,31(3):627-652
[4]Ghosh S,Datta D,Katakdhond A A.Estimation of the Park-Ang damage index for planar multi-storey frames using equivalent single-degree systems[J].Engineering Structures,2011,33(9):2509-2524
[5]Rajabi R,Barghi M,Rajabi R.Investigation of Park-Ang damage index model for flexural behavior of reinforced concrete columns[J].The Structural Design of Tall and Special Buildings,2013,22(17):1350-1358
[6]何利,叶献国.Kratzig及Park-Ang损伤指数模型比较研究[J].土木工程学报,2010,43(12):1-6He Li,Ye Xianguo.Comparative study of Kratzig and Park-Ang damage index models[J].China Civil Engineering Journal,2010,43(12):1-6
[7]江辉,慎丹,刘夏润,等.基于改进Park-Ang模型的RC墩柱地震动损伤及滞回耗能特性研究[J].振动与冲击,2012,31(5):97-105Jiang Hui,Shen Dan,Liu Xiarun,et al.Seismic damage and hysteretic energy dissipation characteristics of a RC bridge pier based on improved Park-Ang model[J].Journal of Vibration and Shock,2012,31(5):97-105
[8]郭进,王君杰,黄勇.Park-Ang损伤模型在弯矩-转角层面的三维拓展[J].世界地震工程,2013,29(4):141-146Guo Jin,Wang Junjie,Huang Yong.Three dimensional extension of Park-Ang damage model in moment-rotation level[J].World Earthquake Engineering,2013,29(4):141-146
[9]付国,刘伯权,邢国华.基于有效耗能的改进Park-Ang双参数损伤模型及其计算研究[J].工程力学,2013,30(7):84-90Fu Guo,Liu Boquan,Xing Guohua.The research and calculation on modified Park-Ang double parameter seismic damage model based on energy dissipation[J].Engineering Mechanics,2013,30(7):84-90
[10]罗文文,李英民,韩军.考虑加载路径影响的改进Park-Ang损伤模型[J].工程力学,2014,31(7):112-118+128Luo Wenwen,Li Yingmin,Han Jun.A modified Park-Ang seismic damage model considering the load path effects[J].Engineering Mechanics,2014,31(7):112-118+128
[11]陈宗平,徐金俊,陈宇良,等.基于修正Park-Ang模型的型钢混凝土异形柱框架节点地震损伤研究[J].建筑结构学报,2015,36(8):90-98Chen Zongping,Xu Jinjun,Chen Yuliang,et al.Seismic damage of SRC special shaped column frame joints based on modified Park-Ang model[J].Journal of Building Structures,2015,36(8):90-98
[12]Wang Pinghsiung,Ou Yuchen,Chang Kuochun.A new smooth hysteretic model for ductile flexural-dominated reinforced concrete bridge columns[J].Earthquake Engineering Structural Dynamics,2017,46(14):2237-2259
[13]王东升,冯启民,王国新.考虑低周疲劳寿命的改进Park-Ang地震损伤模型[J].土木工程学报,2004,37(11):41-49Wang Dongsheng,Feng Qimin,Wang Guoxin.A modified Park-Ang seismic damage model considering low-cycle fatigue life[J].China Civil Engineering Journal,2004,37(11):41-49
[14]王东升,司炳君,艾庆华,等.改进的Park-Ang地震损伤模型及其比较[J].工程抗震与加固改造,2005,27(增1):144-150Wang Dongsheng,Si Bingjun,Ai Qinghua,et al.A comparative stady of modified Park-Ang model and Park-Ang model for structural seismic damage evaluation[J].Earthquake Resistant Engineering and Retrofitting,2005,27(S1):144-150
[15]Kunnath S K,El-Bahy A,Taylor A,et al.Cumulative seismic damage of reinforced concrete bridege piers[R].University at Buffalo,State University of New York,NCEER-97-0006,1997
[16]孙治国,王东升,杜修力,等.钢筋混凝土桥墩塑性铰区约束箍筋用量研究[J].中国公路学报,2010,23(3):48-57Sun Zhiguo,Wang Dongsheng,Du Xiuli,et al.Research on amount of confining reinforcement in potential plastic hinge regions of RC bridge columns[J].China Journal of Highway and Transport,2010,23(3):48-57
[17]Lehman D E,Moehle J P.Seismic performance of well-confined concrete bridge columns[M].America:Pacific Earthquake Engineering Research Center,2000
[18]Calderone A J,Lehman D E,Moehle J P.Behavior of reinforced concrete bridge columns having varying aspect ratios and varying lengths of confinement[R].College of Engineering,University of California,Berkeley,Pacific Earthquake Engineering Research Center,PEER Report 2000/08,2001
[19]王宏业.Park-Ang双参数地震损伤模型的试验统计分析及改进[D].大连:大连海事大学,2008Wang Hongye.Experimental statistical analysis and improvement of Park-Ang two parameter seismic damage model[D].Dalian:Dalian Maritime University,2008
[20]艾庆华,王东升,李宏男,等.基于塑性铰模型的钢筋混凝土桥墩地震损伤评价[J].工程力学,2009,26(4):158-166Ai Qinghua,Wang Dongsheng,Li Hongnan,et al.Seismic damage evaluation of RC bridge columns based on plastic hinge model[J].Engineering Mechanics,2009,26(4):158-166
[21]王东升,司炳君,孙治国,等.地震作用下钢筋混凝土桥墩塑性铰区抗剪强度试验[J].中国公路学报,2011,24(2):34-41Wang Dongsheng,Si Bingjun,Sun Zhiguo,et al.Experiment on shear strength of reinforced concrete bridge column in plastic hinge zone under seismic effect[J].China Journal of Highway and Transport,2011,24(2):34-41
[2]Park Y-J,Ang A H-S.Mechanistic seismic damage model for reinforced concrete[J].Journal of Structure Engineering,1985,111(4):722-739
[3]Bertero R D,Bertero V V.Performance-based seismic engineering:The need for a reliable conceptual comprehensive approach[J].Earthquake Engineering&Structural Dynamics,2002,31(3):627-652
[4]Ghosh S,Datta D,Katakdhond A A.Estimation of the Park-Ang damage index for planar multi-storey frames using equivalent single-degree systems[J].Engineering Structures,2011,33(9):2509-2524
[5]Rajabi R,Barghi M,Rajabi R.Investigation of Park-Ang damage index model for flexural behavior of reinforced concrete columns[J].The Structural Design of Tall and Special Buildings,2013,22(17):1350-1358
[6]何利,叶献国.Kratzig及Park-Ang损伤指数模型比较研究[J].土木工程学报,2010,43(12):1-6He Li,Ye Xianguo.Comparative study of Kratzig and Park-Ang damage index models[J].China Civil Engineering Journal,2010,43(12):1-6
[7]江辉,慎丹,刘夏润,等.基于改进Park-Ang模型的RC墩柱地震动损伤及滞回耗能特性研究[J].振动与冲击,2012,31(5):97-105Jiang Hui,Shen Dan,Liu Xiarun,et al.Seismic damage and hysteretic energy dissipation characteristics of a RC bridge pier based on improved Park-Ang model[J].Journal of Vibration and Shock,2012,31(5):97-105
[8]郭进,王君杰,黄勇.Park-Ang损伤模型在弯矩-转角层面的三维拓展[J].世界地震工程,2013,29(4):141-146Guo Jin,Wang Junjie,Huang Yong.Three dimensional extension of Park-Ang damage model in moment-rotation level[J].World Earthquake Engineering,2013,29(4):141-146
[9]付国,刘伯权,邢国华.基于有效耗能的改进Park-Ang双参数损伤模型及其计算研究[J].工程力学,2013,30(7):84-90Fu Guo,Liu Boquan,Xing Guohua.The research and calculation on modified Park-Ang double parameter seismic damage model based on energy dissipation[J].Engineering Mechanics,2013,30(7):84-90
[10]罗文文,李英民,韩军.考虑加载路径影响的改进Park-Ang损伤模型[J].工程力学,2014,31(7):112-118+128Luo Wenwen,Li Yingmin,Han Jun.A modified Park-Ang seismic damage model considering the load path effects[J].Engineering Mechanics,2014,31(7):112-118+128
[11]陈宗平,徐金俊,陈宇良,等.基于修正Park-Ang模型的型钢混凝土异形柱框架节点地震损伤研究[J].建筑结构学报,2015,36(8):90-98Chen Zongping,Xu Jinjun,Chen Yuliang,et al.Seismic damage of SRC special shaped column frame joints based on modified Park-Ang model[J].Journal of Building Structures,2015,36(8):90-98
[12]Wang Pinghsiung,Ou Yuchen,Chang Kuochun.A new smooth hysteretic model for ductile flexural-dominated reinforced concrete bridge columns[J].Earthquake Engineering Structural Dynamics,2017,46(14):2237-2259
[13]王东升,冯启民,王国新.考虑低周疲劳寿命的改进Park-Ang地震损伤模型[J].土木工程学报,2004,37(11):41-49Wang Dongsheng,Feng Qimin,Wang Guoxin.A modified Park-Ang seismic damage model considering low-cycle fatigue life[J].China Civil Engineering Journal,2004,37(11):41-49
[14]王东升,司炳君,艾庆华,等.改进的Park-Ang地震损伤模型及其比较[J].工程抗震与加固改造,2005,27(增1):144-150Wang Dongsheng,Si Bingjun,Ai Qinghua,et al.A comparative stady of modified Park-Ang model and Park-Ang model for structural seismic damage evaluation[J].Earthquake Resistant Engineering and Retrofitting,2005,27(S1):144-150
[15]Kunnath S K,El-Bahy A,Taylor A,et al.Cumulative seismic damage of reinforced concrete bridege piers[R].University at Buffalo,State University of New York,NCEER-97-0006,1997
[16]孙治国,王东升,杜修力,等.钢筋混凝土桥墩塑性铰区约束箍筋用量研究[J].中国公路学报,2010,23(3):48-57Sun Zhiguo,Wang Dongsheng,Du Xiuli,et al.Research on amount of confining reinforcement in potential plastic hinge regions of RC bridge columns[J].China Journal of Highway and Transport,2010,23(3):48-57
[17]Lehman D E,Moehle J P.Seismic performance of well-confined concrete bridge columns[M].America:Pacific Earthquake Engineering Research Center,2000
[18]Calderone A J,Lehman D E,Moehle J P.Behavior of reinforced concrete bridge columns having varying aspect ratios and varying lengths of confinement[R].College of Engineering,University of California,Berkeley,Pacific Earthquake Engineering Research Center,PEER Report 2000/08,2001
[19]王宏业.Park-Ang双参数地震损伤模型的试验统计分析及改进[D].大连:大连海事大学,2008Wang Hongye.Experimental statistical analysis and improvement of Park-Ang two parameter seismic damage model[D].Dalian:Dalian Maritime University,2008
[20]艾庆华,王东升,李宏男,等.基于塑性铰模型的钢筋混凝土桥墩地震损伤评价[J].工程力学,2009,26(4):158-166Ai Qinghua,Wang Dongsheng,Li Hongnan,et al.Seismic damage evaluation of RC bridge columns based on plastic hinge model[J].Engineering Mechanics,2009,26(4):158-166
[21]王东升,司炳君,孙治国,等.地震作用下钢筋混凝土桥墩塑性铰区抗剪强度试验[J].中国公路学报,2011,24(2):34-41Wang Dongsheng,Si Bingjun,Sun Zhiguo,et al.Experiment on shear strength of reinforced concrete bridge column in plastic hinge zone under seismic effect[J].China Journal of Highway and Transport,2011,24(2):34-41