非线性结构随机地震反应的极值估计
|
摘要
建立了预测非线性结构随机地震反应边缘分布的广义高斯分布模型(GGDs),提出了模型参数的两点估计方法。采用Nataf分布预测反应及其导数的联合分布,给出了Nataf模型参数的经验计算公式。一个六层剪切型框架结构随机地震反应的极值估计,说明了该方法的效率和精度。
This paper develops a family of generalized Gaussian distributions( GGDs) for estimating the marginal distributions of nonlinear responses of structures subjected to random earthquake loads. A new parameter estimation method named the 2 points estimation method is proposed to estimate the model parameters of the GGDs. Nataf models are utilized to predict the joint distributions of the responses and their derivatives and,furthermore,an empirical formula is established to estimate the parameters in Nataf models. The analysis of a six-story shear building model demonstrates the efficiency and accuracy of the developed method.
This paper develops a family of generalized Gaussian distributions( GGDs) for estimating the marginal distributions of nonlinear responses of structures subjected to random earthquake loads. A new parameter estimation method named the 2 points estimation method is proposed to estimate the model parameters of the GGDs. Nataf models are utilized to predict the joint distributions of the responses and their derivatives and,furthermore,an empirical formula is established to estimate the parameters in Nataf models. The analysis of a six-story shear building model demonstrates the efficiency and accuracy of the developed method.
引文
[1]赵真,谢礼立.浅析传统结构抗震概念设计思想形成的一般规律[J].地震工程与工程振动,2014,34(2):19-26.
[2]Lutes,LD,Sarkani,S.Random vibrations:analysis of structural and mechanical systems[M].Burlington(MA):USA,2004:Elsevier Butterwork-Heinemann:321-357.
[3]Naess,AA,Gaidai,O.Monte Carlo methods for estimating the extreme response of dynamical systems[J].Journal of Engineering Mechanics ASCE,2008,134(8):628-636.
[4]Au,S K,Beck,J L.Subset simulation and its application to seismic risk based on dynamic analysis[J].Journal of Engineering Mechanics ASCE,2003,129(8):901-917.
[5]Fujimura,K.,Der Kiureghian,A.Tail-equivalent linearization method for nonlinear random vibration[J].Probabilistic Engineering Mechanics,2007,22(1):63-76.
[6]Nadarajah,S.A Generalized Normal Distribution[J].Journal of Applied Statistics,2005,32(7):685-694.
[7]Low,YM.A new Distribution for Fitting four moments and its applications to reliability analysis[J].Structural Safety,2013,42:12-25.
[8]Liu,PL,Der Kiureghian,A.Multivariate distribution models with prescribed marginals and covariances[J].Probabilistic Engineering Mechanics,1986,22(1):63-76.
[9]Olsson,A.,Sandberg,G,Dahlblom,O.On Latin hypercube sampling for structural reliability analysis[J].Structural Safety,2003,25:47-68.
[10]Kanai,K.Semi-empirical formula for the seismic characteristics of the ground[J].Bulletin of Earthquake Research Institute at University of Tokyo,1975,35:309-325.
[11]Tajimi,H.A statistical method of determining the maximum response of a building structure during an earthquake[C]//Proceeding of the 2nd Word Conference on Earthquake Engineering,Tokyo and Kyoto,Japan,1960:781-798.
[2]Lutes,LD,Sarkani,S.Random vibrations:analysis of structural and mechanical systems[M].Burlington(MA):USA,2004:Elsevier Butterwork-Heinemann:321-357.
[3]Naess,AA,Gaidai,O.Monte Carlo methods for estimating the extreme response of dynamical systems[J].Journal of Engineering Mechanics ASCE,2008,134(8):628-636.
[4]Au,S K,Beck,J L.Subset simulation and its application to seismic risk based on dynamic analysis[J].Journal of Engineering Mechanics ASCE,2003,129(8):901-917.
[5]Fujimura,K.,Der Kiureghian,A.Tail-equivalent linearization method for nonlinear random vibration[J].Probabilistic Engineering Mechanics,2007,22(1):63-76.
[6]Nadarajah,S.A Generalized Normal Distribution[J].Journal of Applied Statistics,2005,32(7):685-694.
[7]Low,YM.A new Distribution for Fitting four moments and its applications to reliability analysis[J].Structural Safety,2013,42:12-25.
[8]Liu,PL,Der Kiureghian,A.Multivariate distribution models with prescribed marginals and covariances[J].Probabilistic Engineering Mechanics,1986,22(1):63-76.
[9]Olsson,A.,Sandberg,G,Dahlblom,O.On Latin hypercube sampling for structural reliability analysis[J].Structural Safety,2003,25:47-68.
[10]Kanai,K.Semi-empirical formula for the seismic characteristics of the ground[J].Bulletin of Earthquake Research Institute at University of Tokyo,1975,35:309-325.
[11]Tajimi,H.A statistical method of determining the maximum response of a building structure during an earthquake[C]//Proceeding of the 2nd Word Conference on Earthquake Engineering,Tokyo and Kyoto,Japan,1960:781-798.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心