单地震动记录随机增量动力分析
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摘要
传统增量动力分析(IDA)方法没有考虑结构的随机性,该文将基于Nataf变换的点估计法与单地震动记录增量动力分析相结合,提出了考虑结构随机性的IDA方法。将该方法应用于钢筋混凝土框架结构,分析得到随机IDA曲线。结果表明:该方法可有效地考虑结构随机性对IDA分析结果的影响。
The conventional Incremental Dynamic Analysis (IDA) method doesn't take into account the inherent randomness in structures.In this paper,a new IDA method considering structural random properties is put forward,which combines a new point estimate method based on Nataf transformation with the single-record IDA method.The new approach is applied to a R.C.frame structure,for which the random IDA curves are obtained.It is demonstrated through a numerical example that the new IDA method can be efficiently used to investigate the effect of structural random properties on IDA results.
The conventional Incremental Dynamic Analysis (IDA) method doesn't take into account the inherent randomness in structures.In this paper,a new IDA method considering structural random properties is put forward,which combines a new point estimate method based on Nataf transformation with the single-record IDA method.The new approach is applied to a R.C.frame structure,for which the random IDA curves are obtained.It is demonstrated through a numerical example that the new IDA method can be efficiently used to investigate the effect of structural random properties on IDA results.
引文
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[10]吕大刚,于晓辉,王光远.基于改进点估计法的结构整体概率抗震能力分析[J].世界地震工程,2008,24(4):7―13.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Global probabilistic seismic capacity analysis of structures based on improved point estimation method[J].World Earthquake Engineering,2008,24(4):7―13.(in Chinese)
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[12]Hohenbichler M,Rackwitz R.Non-normal dependent vectors in structural safety[J].Journal of Engineering Mechanics,ASCE,1981,107(6):1227―1238.
[13]Liu P L,Der Kiureghian A.Multivariate distribution models with prescribed marginal and covariances[J].Probabilistic Engineering Mechanics,1986,1(2):105―112.
[14]吕大刚.基于线性化Nataf变换的一次可靠度方法[J].工程力学,2007,24(5):79―86,124.Lu Dagang.First order reliability method based on linearized Nataf transformation[J].Engineering Mechanics,2007,24(5):79―86,124.(in Chinese)
[15]Cornell C A.Probabilistic basis for2000SAC federal emergency management agency steel moment frame guidelines[J].Journal of Structure Engineering,2002,128(4):526―533.
[16]McKenna F,Fenves G L,Scott M H.Open system for earthquake engineering simulation[R].Pacific Earthquake Engineering Research Center,University of California at Berkeley,2008.
[2]Federal Emergency Management Agency(FEMA).Recommended seismic design criteria for new steel moment-frame buildings[R].SAC Joint Venture,Washington D C:FEMA350,2000.
[3]Vamvatsikos D,Cornell C A.Incremental dynamic analysis[J].Earthquake Engineering and Structural Dynamics,2002,31(3):491―514.
[4]Vamvatsikos D,Cornell C A.Direct estimation of the seismic demand and capacity of oscillators with multi-linear static pushovers through IDA[J].Earthquake Engineering and Structural Dynamics,2006,35(9):1097―1117.
[5]Vamvatsikos D,Cornell C A.Direct estimation of seismic demand and capacity of multidegree-of-freedom systems through incremental dynamic analysis of single degree of freedom approximation[J].ASCE Journal of Structural Engineering,2005,131(4):589―599.
[6]Fragiadakis M,Vamvatsikos D,Panadrakakis M.Evaluation of the influence of vertical irregularities on the seismic performance of a nine-storey steel frame[J].Earthquake Engineering and Structural Dynamics,2006,35(12):1489―1509.
[7]Mander J B,Dhakala R P,Mashikoet N.Incremental dynamic analysis applied to seismic financial risk assessment of bridges[J].Engineering Structures,2007,29(10):2662―2672.
[8]Charney F A.Applications in incremental dynamic analysis.Proceedings of the Structures Congress and Exposition,Metropolis and Beyond[C].Proceedings of the2005Structures Congress and the2005Forensic Engineering Symposium,2005:1827―1834.
[9]吕大刚,于晓辉,王光远.基于单地震动记录IDA方法的结构倒塌分析[J].地震工程与工程振动,2009,29(6):66―72.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Structural collapse analysis based on single-record IDA method[J].Earthquake Engineering and Engineering Vibration,2009,29(6):66―72.(in Chinese)
[10]吕大刚,于晓辉,王光远.基于改进点估计法的结构整体概率抗震能力分析[J].世界地震工程,2008,24(4):7―13.Lu Dagang,Yu Xiaohui,Wang Guangyuan.Global probabilistic seismic capacity analysis of structures based on improved point estimation method[J].World Earthquake Engineering,2008,24(4):7―13.(in Chinese)
[11]Zhao Y G,Ono T.New point estimates for probability moments[J].Journal of Engineering Mechanics,ASCE,2000,126(4):433―436.
[12]Hohenbichler M,Rackwitz R.Non-normal dependent vectors in structural safety[J].Journal of Engineering Mechanics,ASCE,1981,107(6):1227―1238.
[13]Liu P L,Der Kiureghian A.Multivariate distribution models with prescribed marginal and covariances[J].Probabilistic Engineering Mechanics,1986,1(2):105―112.
[14]吕大刚.基于线性化Nataf变换的一次可靠度方法[J].工程力学,2007,24(5):79―86,124.Lu Dagang.First order reliability method based on linearized Nataf transformation[J].Engineering Mechanics,2007,24(5):79―86,124.(in Chinese)
[15]Cornell C A.Probabilistic basis for2000SAC federal emergency management agency steel moment frame guidelines[J].Journal of Structure Engineering,2002,128(4):526―533.
[16]McKenna F,Fenves G L,Scott M H.Open system for earthquake engineering simulation[R].Pacific Earthquake Engineering Research Center,University of California at Berkeley,2008.
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