抗震结构弹塑性变形能力可靠度时域随机算法
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摘要
采用杆系-层模型,将计算结构静力可靠度的改进的JC法、常规有限元法及时程分析法相结合,建立了抗震结构弹塑性变形能力可靠度时域随机算法。本文方法可充分考虑结构参数及地震作用的随机性以及地震作用与静载的共同影响;可对结构侧向变形能力作地震全过程弹塑性时变可靠度分析。采用本文方法及MC模拟算法分析了一榀三层铪框架侧向变形能力弹塑性时变可靠度,结果表明了本文方法的合理性与有效性。
Based on Improved JC Method for static reliability analysis of structures, Finite Element Method and Wilson-θ Method,and by use of member-storey model, a stochastic algorithm in time-domain is presented to analyse the reliability of elasto-plastic deformation capacity of anti-seismic structures under strong earthquakes. In this method,the earthquake ground motion is simulated as non-stationary random process,and structural parameters are taken as random variables.The limit state equation of anti-seismic structure at any time in the course of strong earthquake is built by use of deformation damage criterion.The method can reflect both the randomness of structural parameters and earthquake motion and the effects of earthquake action and static loads. Time-dependent reliability index β(t) of lateral deformation capacity for anti-seismic structures under strong earthquakes can be gotten by the method. As an example, the time-dependent reliability of lateral deformation capacity for a three-storey frame under strong earthquake is analysed by this method and Monte Carlo method. The result expresses the rationality and effectiveness of the method.
Based on Improved JC Method for static reliability analysis of structures, Finite Element Method and Wilson-θ Method,and by use of member-storey model, a stochastic algorithm in time-domain is presented to analyse the reliability of elasto-plastic deformation capacity of anti-seismic structures under strong earthquakes. In this method,the earthquake ground motion is simulated as non-stationary random process,and structural parameters are taken as random variables.The limit state equation of anti-seismic structure at any time in the course of strong earthquake is built by use of deformation damage criterion.The method can reflect both the randomness of structural parameters and earthquake motion and the effects of earthquake action and static loads. Time-dependent reliability index β(t) of lateral deformation capacity for anti-seismic structures under strong earthquakes can be gotten by the method. As an example, the time-dependent reliability of lateral deformation capacity for a three-storey frame under strong earthquake is analysed by this method and Monte Carlo method. The result expresses the rationality and effectiveness of the method.
引文
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[3] 贡金鑫.结构可靠指标的一种新的迭代方法[J].计算结构力学及其应用,1995,12(3):369-373.(GongJinxin.Anewalgorithmforsolvingthestructuralreliabilityindex[J].ComputationalStruturalMechanicsandApplications,1995,12(3):369-373.(inChinese))
[4] 葛 燕.砼结构弹塑性时程可靠度分析[D].成都:四川大学,2002.(GeYan.Theelestopastictime-historyreliabilityanalysisofconcretestructures[D].Chengdu:SichuanUniversity,2002.(inChinese))
[5] 包世华.高层建筑结构计算[M].北京:高等教育出版社,1991.(BaoShihua.TheAnalysisofHigh-riseBuildingStructures[M].Beijing:HigherEducationPress,1991.(inChinese))
[6] 王松涛,曹 资.现代抗震设计方法[M].北京:中国建筑工业出版社,1997.(WangSongtao,CaoZi.TheModernDesignMthodofAseismaticStructures[M].Beijing:ChinaBuildingIndustryPress,1997.(inChinese))
[7] 欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-53.(OuJinping,NiuDitao,DuXiuli.Arandomprocessmodelofearthquakegroundmotionforstructuralreliabilitydesign[J].EarthquakeEnginee-ringandEngineeringVibration,1991,11(30):45-53.(inChinese)
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