基于条件模拟的非平稳空间相关地震动仿真研究
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摘要
基于性态抗震理论发展的迫切需要,针对结构开展精细的非线性分析,这对大跨度结构空间相关地震动的模拟生成提出了新的挑战。本文基于实测天然地震动,应用条件模拟方法,发展了空间相关地震动的模拟生成理论。并通过对地震动的数据加窗,和基于现代谱估计理论的AR模型进行功率谱密度函数估计,实现模拟地震动的非平稳特性。理论验证表明,模拟地震动与原始波在峰值、反应谱、功率谱方面具有很好的一致性,并且与源波具有良好的相干性,因此可以广泛应用于空间相关地震动的模拟生成。
An approach has been developed for the simulation of spatially correlated ground motions statistically analogous with a reference record.This procedure makes use of a discrete representation of the ground motion as a random process in terms of its frequency components via the AR model and subdivides the known record into a sequence of time windows to account for its temporal variation.Ground motions,consistent with both the target auto-spectrum of the known record and a frequency-dependent coherency function,were simulated at different stations.Model diagnostic checking shows that this procedure is accurate and applicable for discretely supported systems particularly when used in conjunction with seismological models to generate strong motion spatially correlated acceleration to adapt to the performance-based design.
An approach has been developed for the simulation of spatially correlated ground motions statistically analogous with a reference record.This procedure makes use of a discrete representation of the ground motion as a random process in terms of its frequency components via the AR model and subdivides the known record into a sequence of time windows to account for its temporal variation.Ground motions,consistent with both the target auto-spectrum of the known record and a frequency-dependent coherency function,were simulated at different stations.Model diagnostic checking shows that this procedure is accurate and applicable for discretely supported systems particularly when used in conjunction with seismological models to generate strong motion spatially correlated acceleration to adapt to the performance-based design.
引文
[1]Zerva A,Zervas V.Spatial variation of seismic ground motions:An overview[J].Applied Mechanics Reviews ASME,2002,55(3):271-297.
[2]Shama A A.Simplified procedure for simulating spatially correlated earthquake ground motions[J].Engineering Structures,2007,29(2):248-258.
[3]Wang J J,Fan L C.Simulation of non-stationary frequency content and its importance to seismic assessment of structures[J].Earthquake Engineering and Structural Dynamics,2002,31(4):993-1005.
[4]Heredia-Zavoni E,Cruz S S.Conditional simulation of a class of nonstationary space-time random fields[J].Journal of Engi-neering Mechanics ASCE,2000,126(4):398-404.
[5]Pacific Earthqualce Engineering Research Center,PEER Strong Motion Database[EB/OL].(1994-08-16)/[2013-02-15]http://peer.Berkeley.edu/smcat/index.html.
[6]Aghababaii-Mobarakeh A,Rofooei F R,Ahmadi G.Simulation of earthquake records using time-varying Arma(2,1)model[J].Probabilistic Engineering Mechanics,2002,17(1):15-34.
[7]Harichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Journal of Engi-neering Mechanics Division,1986,112(2):154-174.
[8]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
[2]Shama A A.Simplified procedure for simulating spatially correlated earthquake ground motions[J].Engineering Structures,2007,29(2):248-258.
[3]Wang J J,Fan L C.Simulation of non-stationary frequency content and its importance to seismic assessment of structures[J].Earthquake Engineering and Structural Dynamics,2002,31(4):993-1005.
[4]Heredia-Zavoni E,Cruz S S.Conditional simulation of a class of nonstationary space-time random fields[J].Journal of Engi-neering Mechanics ASCE,2000,126(4):398-404.
[5]Pacific Earthqualce Engineering Research Center,PEER Strong Motion Database[EB/OL].(1994-08-16)/[2013-02-15]http://peer.Berkeley.edu/smcat/index.html.
[6]Aghababaii-Mobarakeh A,Rofooei F R,Ahmadi G.Simulation of earthquake records using time-varying Arma(2,1)model[J].Probabilistic Engineering Mechanics,2002,17(1):15-34.
[7]Harichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Journal of Engi-neering Mechanics Division,1986,112(2):154-174.
[8]Hao H,Oliveira C S,Penzien J.Multiple-station ground motion processing and simulation based on SMART-1array data[J].Nuclear Engineering and Design,1989,111(3):293-310.
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