基于剩余寿命等效的钢筋混凝土构件地震损伤模型
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摘要
基于剩余寿命等效的概念,提出了钢筋混凝土构件地震损伤改进模型。其基本思想是认为以某损伤参数(如刚度、位移延性、能量等)建构的损伤指数与疲劳损伤指数(如纵筋累积疲劳损伤),在损伤指数D=1.0条件下都可以表示构件失效。这样在某时刻以不同损伤指数表达的构件剩余寿命(1.0-Di)与损伤指数增量ΔDi之比,都等于使构件完全失效时对应的继续循环加载周数。利用这种等效关系定义了新的损伤指数,可以在构件的反应参量和破坏机理之间建立起联系。作为实际应用给出了一种基于截面刚度退化的低周反复荷载作用下钢筋混凝土桥墩损伤模型。
A new seismic damage model for reinforced concrete members based on the concept of remaining life equivalence is developed. It is assumed that a damage index expressed as a function of the damage parameter can be related to the fatiguebased damage index when they are equal to 1.0, both mean the member has been completely destroyed. This would cause the ratio of the member's remaining life defined as (1.0-Di) by each damage index Di to damage index increment ΔDi to be constant and equal to the remain number of cycles to failure after any cycle of loading. Therefore the damage index can be computed by introducing above equivalent relationship. Because possible choices for the damage parameters including stiffness, displacement ductility, energy dissipation capacity and damage in longitudinal reinforcement can be modeled by using lowcycle fatigue theories, the proposed damage model takes into account members′ response quantities and seismic damage mechanism. A damage model based on stiffness degradation for RC bridge piers under cyclic loading is presented as an example.
A new seismic damage model for reinforced concrete members based on the concept of remaining life equivalence is developed. It is assumed that a damage index expressed as a function of the damage parameter can be related to the fatiguebased damage index when they are equal to 1.0, both mean the member has been completely destroyed. This would cause the ratio of the member's remaining life defined as (1.0-Di) by each damage index Di to damage index increment ΔDi to be constant and equal to the remain number of cycles to failure after any cycle of loading. Therefore the damage index can be computed by introducing above equivalent relationship. Because possible choices for the damage parameters including stiffness, displacement ductility, energy dissipation capacity and damage in longitudinal reinforcement can be modeled by using lowcycle fatigue theories, the proposed damage model takes into account members′ response quantities and seismic damage mechanism. A damage model based on stiffness degradation for RC bridge piers under cyclic loading is presented as an example.
引文
[1] DawnE.Lehman,JackP.Moehle.SeismicPerformanceofWell-ConfinedConcreteBridgeColumns[R].UniversityofCalifornia,Berkeley,PEERReport:98-01.
[2] WilliamsMS,SexsmithRG.SeismicAssessmentofConcreteBridgeUsingInelasticDamageAnalysis[J].EngineeringStructure,1997,19(3):208-216.
[3] 潘龙.基于推倒分析方法的桥梁结构地震损伤分析与性能设计[D].同济大学,2001(6).
[4] 何政.钢筋混凝土结构非线性分析及地震损伤性能设计与控制[D].哈尔滨工业大学,2000(10).
[5] WilliamsMS,SexsmithRG.SeismicDamageIndicesforConcreteStructures:AState-of-ArtReview[J].EarthquakeSpectra,1995,11(3):320-349.
[6] 王立明,顾祥林,沈祖炎,等.钢筋混凝土结构的损伤累积模型[J].工程力学(增刊),1997.
[7] 沈祖炎,董宝,曹文贤.结构损伤累积分析的研究现状和存在的问题[J].同济大学学报,1997,25(2):135-140.
[8] 王振宇,刘晶波.建筑结构地震损伤评估的研究进展[J].世界地震工程,2001,17(3):43-48.
[9] WilliamsMS,IsabellleVillemure,SexsmithRG.EvaluationofSeismicDamageIndicesforConcreteElementloadedinCombinedShearandFlexure[J].ACIStructuralJournal,1997,94(3):315-322.
[10] KunnathSK.CumulativeSeismicDamageofReinforcedConcreteBridgePiers[R].UniversityatBuffalo,StateUniversityofNewYork,NCEERReport:97-0006.
[11] HindiRA,SexsmithRG.AProposedDamageModelforRCBridgeColumnsunderCyclicLoading[J].EarthquakeSpectra,2001,17(2):320-349.
[12] PowellGH,AllahabadiR.SeismicDamagePredictionbyDeterministicMethods:ConceptsandProcedures[J].EarthquakeEng.Stru.Dyn.1988,16:719-734.
[13] 刘庆华,徐虎.单柱式钢筋混凝土桥墩在水平地震作用下的损伤分析[J].工程力学(增刊),1997.
[14] GulkanP,SozenMA.InelasticResponseofReinforcedConcreteStructuretoEarthquakeMotions[J].JournaloftheAmericanConcreteInst.1974,71(12):604-610.
[15] RoufaielSL,MeyerC.AnalyticalModelingofHystereticBehaviorofRCFrames[J].JournalofStructureEngineering,ASCE,1987,113(3):429-445.
[16] ChangGA,ManderJB.SeismicEnergyBasedFatigueDamageAnalysisofBridgeColumns:Part1-EvaluationofSeismicCapacity[J].UniversityatBuffalo,StateUniversityofNewYork,NCEERReport:94-0006.
[17] ParkYJ,AngHS.MechanisticSeismicDamageModelforReinforcedConcrete[J].JournalofStructureEngineering,ASCE,1985,111(4):722-739.
[18] ParkYJ,AngHS.SeismicDamageAnalysisofReinforcedConcreteBuildings[J].JournalofStructureEngineering,ASCE,1985,111(4):740-757.
[19] 刘伯权,白绍良,徐云中,等.钢筋混凝土柱低周疲劳性能的试验研究[J].地震工程与工程振动,1998,18(4):82-89.
[2] WilliamsMS,SexsmithRG.SeismicAssessmentofConcreteBridgeUsingInelasticDamageAnalysis[J].EngineeringStructure,1997,19(3):208-216.
[3] 潘龙.基于推倒分析方法的桥梁结构地震损伤分析与性能设计[D].同济大学,2001(6).
[4] 何政.钢筋混凝土结构非线性分析及地震损伤性能设计与控制[D].哈尔滨工业大学,2000(10).
[5] WilliamsMS,SexsmithRG.SeismicDamageIndicesforConcreteStructures:AState-of-ArtReview[J].EarthquakeSpectra,1995,11(3):320-349.
[6] 王立明,顾祥林,沈祖炎,等.钢筋混凝土结构的损伤累积模型[J].工程力学(增刊),1997.
[7] 沈祖炎,董宝,曹文贤.结构损伤累积分析的研究现状和存在的问题[J].同济大学学报,1997,25(2):135-140.
[8] 王振宇,刘晶波.建筑结构地震损伤评估的研究进展[J].世界地震工程,2001,17(3):43-48.
[9] WilliamsMS,IsabellleVillemure,SexsmithRG.EvaluationofSeismicDamageIndicesforConcreteElementloadedinCombinedShearandFlexure[J].ACIStructuralJournal,1997,94(3):315-322.
[10] KunnathSK.CumulativeSeismicDamageofReinforcedConcreteBridgePiers[R].UniversityatBuffalo,StateUniversityofNewYork,NCEERReport:97-0006.
[11] HindiRA,SexsmithRG.AProposedDamageModelforRCBridgeColumnsunderCyclicLoading[J].EarthquakeSpectra,2001,17(2):320-349.
[12] PowellGH,AllahabadiR.SeismicDamagePredictionbyDeterministicMethods:ConceptsandProcedures[J].EarthquakeEng.Stru.Dyn.1988,16:719-734.
[13] 刘庆华,徐虎.单柱式钢筋混凝土桥墩在水平地震作用下的损伤分析[J].工程力学(增刊),1997.
[14] GulkanP,SozenMA.InelasticResponseofReinforcedConcreteStructuretoEarthquakeMotions[J].JournaloftheAmericanConcreteInst.1974,71(12):604-610.
[15] RoufaielSL,MeyerC.AnalyticalModelingofHystereticBehaviorofRCFrames[J].JournalofStructureEngineering,ASCE,1987,113(3):429-445.
[16] ChangGA,ManderJB.SeismicEnergyBasedFatigueDamageAnalysisofBridgeColumns:Part1-EvaluationofSeismicCapacity[J].UniversityatBuffalo,StateUniversityofNewYork,NCEERReport:94-0006.
[17] ParkYJ,AngHS.MechanisticSeismicDamageModelforReinforcedConcrete[J].JournalofStructureEngineering,ASCE,1985,111(4):722-739.
[18] ParkYJ,AngHS.SeismicDamageAnalysisofReinforcedConcreteBuildings[J].JournalofStructureEngineering,ASCE,1985,111(4):740-757.
[19] 刘伯权,白绍良,徐云中,等.钢筋混凝土柱低周疲劳性能的试验研究[J].地震工程与工程振动,1998,18(4):82-89.
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