非弹性结构体系的概率地震损伤分析
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摘要
综合考虑强度退化、刚度退化、捏拢效应等典型滞回特性的影响,提出了双向激励下非弹性体系地震损伤分析的新型数值模型。结合所筛选的69条地震记录,定量地分析了双向地震激励、强度退化、刚度退化、捏拢效应等因素对地震损伤指标的概率统计特征的影响。计算结果显示:非弹性双自由度体系的地震损伤指标可以描述为Frechet或Lognormal分布随机变量;双向激励下非弹性双自由度体系的地震损伤指标可以近似表达为单向激励下非弹性单自由度体系的地震损伤指标的平方和开方;减小结构的屈服后刚度或考虑强度退化、刚度退化和捏拢效应的影响可以明显加剧结构的地震损伤程度。
A novel numerical model for seismic damage analysis of inelastic two degree of freedom(2DOF) system under bi-directional excitations was developed by taking the strength degradation,stiffness deterioration and pinching effect into account.The influences of bidirectional excitations,strength degradation,stiffness deterioration and pinching effect on statistical characteristics of seismic damage index of inelastic 2DOF system were investigated using 69 selected earthquake records.The results show that seismic damage index of inelastic 2DOF system can be described as either the Lognormal or the Frechet distribution variable;the seismic damage index of inelastic 2DOF system can be approximated by the square root of sum of square(SRSS) of seismic damage index of single degree of freedom(SDOF) system;an decrease in post-yielding stiffness or consideration of strength degradation,stiffness deterioration and pinching effect may increase the seismic damage index remarkably.
A novel numerical model for seismic damage analysis of inelastic two degree of freedom(2DOF) system under bi-directional excitations was developed by taking the strength degradation,stiffness deterioration and pinching effect into account.The influences of bidirectional excitations,strength degradation,stiffness deterioration and pinching effect on statistical characteristics of seismic damage index of inelastic 2DOF system were investigated using 69 selected earthquake records.The results show that seismic damage index of inelastic 2DOF system can be described as either the Lognormal or the Frechet distribution variable;the seismic damage index of inelastic 2DOF system can be approximated by the square root of sum of square(SRSS) of seismic damage index of single degree of freedom(SDOF) system;an decrease in post-yielding stiffness or consideration of strength degradation,stiffness deterioration and pinching effect may increase the seismic damage index remarkably.
引文
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[2]Park Y J,Ang A H S.Mechanistic seismic damagemodel for reinforced concrete[J].Journal of StructuralEngineering,ASCE,1985,111(4):722-739.
[3]Park Y J,Ang A H S,Wen Y K.Seismic damageanalysis of reinforced concrete buildings[J].Journal ofstructural Engineering,ASCE,1985,111(4):740-757.
[4]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):41-49.WANG Dongsheng,FENG Qimin,WANG Guoxin.Amodified Park-Ang seismic damage model consideringlow cycle fatigue life[J].China Civil EngineeringJournal,2004,37(11):41-49.
[5]于琦,孟少平,吴京.基于变形与能量双重准则的钢筋混凝土结构地震损伤评估[J].土木工程学报,2011,44(5):16-23.YU Qi,MENG Shaoping,WU Jing.Deformation andenergy based seismic damage evaluation of reinforcedconcrete structures[J].China Civil EngineeringJournal,2011,44(5):16-23.
[6]易伟建,尹犟.基于位移及滞回耗能的结构抗震性能评估新方法[J].湖南大学学报:自然科学版,2009,36(8):1-6.YI Weijian,YIN Jiang.A new method for evaluatingseismic performance based on displacement andhysteretic energy[J].Journal of Hunan University:Natural Sciences,2009,36(8):1-6.
[7]Ghosh S,Datta D,Katakdhond A A.Estimation of thePark-Ang damage index for planar multi-storey framesusing equivalent single degree systems[J].EngineeringStructures,2011,33(9):2509-2524.
[8]张国军,吕西林.高强混凝土框架柱的地震损伤模型[J].地震工程与工程振动,2005,25(2):100-104.ZHANG Guojun,LYU Xilin.Seismic damage model ofhigh strength reinforced concrete frame columns[J].Journal of Earthquake Engineering and EngineeringVibration,2005,25(2):100-104.
[9]傅剑平,王敏,白绍良.对用于钢筋混凝土结构的Park-Ang双参数破坏准则的识别和修正[J].地震工程与工程振动,2005,25(5):73-79.FU Jianping,WANG Min,BAI Shaoliang.Identificationand modification of the Park-Ang criterion for failure ofRC structures[J].Journal of Earthquake Engineeringand Engineering Vibration,2005,25(5):73-79.
[10]Goda K,Hong H P,Lee C S.Probabilisticcharacteristics of seismic ductility demand of SDOFsystems with Bouc-Wen hysteretic behavior[J].Journalof Earthquake Engineering,2009,13(5):600-622.
[11]Lee C S,Hong H P.Statistics of inelastic responses ofhysteretic systems under bidirectional seismicexcitations[J].Engineering Structures,2010,32(8):2074-2086.
[12]Ajavakom N,Ng C H,Ma F.Performance of nonlineardegrading structures:identification,validation,andprediction[J].Computers&Structures,2008,86(7/8):652-662.
[13]Ma F,Zhang H,Bockstedte A,et al.Parameter analysisof the differential model of hysteresis[J].Journal ofApplied Mechanics Ransactions of the ASME,2004,71(3):342-349.
[14]Shampine L F,Reichelt M W.The matlab ode suite[J].Siam Journal of Scientific Computing,1997,18(1):1-22.
[15]余波,刘陶钧,洪汉平.捏拢效应与P-Δ效应对延性需求和损伤指标的影响[J].地震工程与工程振动,2011,31(4):94-105.YU Bo,LIU Taojun,HONG Hanping.Influences ofpinching and P-Δeffects on seismic ductility demand anddamage index[J].Journal of Earthquake Engineering andEngineering Vibration,2011,31(4):94-105.
[16]Pacific Earthquake Engineering Research(PEER)Center.Next generation attenuation database[D/OL].http://peer.berkeley.edu/nga/index.html.
[17]Hong H P,Goda K.Orientation dependent groundmotion measure for seismic hazard assessment[J].Bulletin of the Seismological Society of America,2007,97:1525-1538.
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