基于行波效应的空间相关性地震动场模拟
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摘要
在地震动模型的生成中,本文首次构造了行波效应因子,并用其对单条相位信息进行繁衍,不仅解决了有条件模拟中直接获取多条空间相关性天然相位信息的困难,而且可以更好地模拟出天然地震动中存在的行波效应。由于行波效应为结构抗震性能研究的一个重要作用因素,因此,本文生成的人工地震动可以作为一种更为合理的输入模式。另外,本文将行波效应因子与频域合成法相结合,相对于传统的时域合成法而言,更具有简单、高效和快速的优点。
In this ground motion model,a traveling wave effect factor has been firstly constructed and been used to multiply a single phase information. Not only it can solve the difficulties of directly obtaining multiple spatial correlation phase information from the natural ground motions,but also it can better simulate the natural features of traveling wave effect,better which is the most important one in all the effect factors of structural anti- seismic studies.Therefore,this artificially ground motion can be used as a more reasonable input mode. In addition,the traveling wave effect factor had been combined with the frequency domain method in this paper,compared to the traditional time domain method,it possessed the great advantages of simple,efficient and rapid.
In this ground motion model,a traveling wave effect factor has been firstly constructed and been used to multiply a single phase information. Not only it can solve the difficulties of directly obtaining multiple spatial correlation phase information from the natural ground motions,but also it can better simulate the natural features of traveling wave effect,better which is the most important one in all the effect factors of structural anti- seismic studies.Therefore,this artificially ground motion can be used as a more reasonable input mode. In addition,the traveling wave effect factor had been combined with the frequency domain method in this paper,compared to the traditional time domain method,it possessed the great advantages of simple,efficient and rapid.
引文
[1]Simulation of orthogonal horizontal ground motion components for specified earthquake and site characteristics,Rezaeian,Sanaz(University of California,Berkeley,CA 94720,United States);der Kiureghian,Armen Source:Earthquake Engineering and Structural Dynamics,v 41,n 2,p 335-353,February 2012
[2]Thráinsson H,Kiremidjian A S,Winterstein S R.Modeling of earthquake ground motion in the frequency domain.Technical Report 134[R].The John A.Blume Earthquake Engineering Center,Department of Civil and Environmental Engineering,Stanford University,Stan ford,California:USA,2000.
[3]屈铁军,王前信.空间相关的多点地震动合成(I)基本公式[J].地震工程与工程振动,1998,01:8-15.Qu Tiejun,Wang Qianxin.Simulation of spatial correlative time histories of multi-point ground motion,part1:Fundamental formulas[J].Earthquake engineering and Engineering Dynamic,1998,01:8-15.(In Chinese)
[4]吴勇信,高玉峰.基于功率谱矩阵开方分解的空间相关多点地震动合成方法[J].工程力学,2012,04:29-35.Wu Yongxin,Gao Yufeng.Simulation of spatial correlative ground motions based on the square root operation of power spectrum matrix[J].Engineering Mechanics,2012,04:29-35.(In Chinese)
[5]Thráinsson H,kiremidjian A S.Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform[J].Earthquake Engineering and Structural Dynamics,2002,31:2023-2048.
[6]田玉基,杨庆山.基于相位差谱的空间相关非平稳地震动场的模拟[J].计算力学学报,2010,05:828-833.Tian Yuji,Yang Qingshan.Phase-difference-based simulation of spatial correlated and non-stationary seismic ground motions[J],Chinese Journal of Computational Mechanics,2010,05:828-833.(In Chinese)
[7]Nigam N C.Phase properties of a class of random process[J].Earthquake-Engineering and Structural Dynamics,1982,11(10):711-717.
[8]Shrikhande M,Gupta V K.On the characterization of the phase spectrum for strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4):465-482.
[9]Ohsaki Y.On the significance of phase content in earthquake ground motion[J].Earthquake Engineering and structural Dynamics,1979,7:427-439.
[10]Sato T,Muro Y,Wang H B,et.al.Phase spectrum modeling to simulate design earthquake motion[J].Journal of Natural Disaster Science,2002,24(2):91-100.
[11]朱昱,冯启民.相位差谱的分布特征和人造地震动[J].地震工程与工程振动,1992,01:37-44.Zhu Yu,Feng Qimin.Distribution characteristic of phase difference spectrum and artificial accelerogram[J].Earthquake Engineering and Engineering Dynamic,1992,01:37-44.(In Chinese)
[12]Yokoyama T,Theofanopoulos N,Watabe M.Distribution of phase differences in relation to the earthquake magnitude,distance to the fault and local soil conditions[C]//Proceedings of Ninth World Conference on Earthquake Engineering,1988:2
[13]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132-1143.
[14]Conditional simulation of spatially correlated earthquake ground motion Vanmarcke,Erik H.(Princeton Univ,Princeton,United States);Heredia-Zavoni,Ernesto;Fenton,Gordon A.Source:Journal of Engineering Mechanics,v 119,n 11,p 2332-2352,Nov 1993
[15]Conditioned simulation of local fields of earthquake ground motion.Vanmarcke,Erik H.(Princeton Univ,Princeton,United States);Fenton,Gordon A.Source:Structural Safety,v 10,.n 1-3,p 247-264,May 1991 v 95,n 4,p 1387-1400,August 2005
[16]李忠献,林伟,丁阳.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报,2007,01:1-8.Li Zhongxian,lin Wei,Ding Yang.Influence of Wave Passage Effect on Seismic Responses of Long-Span Spatial Lattice Structures.[J]Journal of Tianjing University,2007,01:1-8.(In Chinese)
[17]何庆祥,沈祖炎.结构地震行波效应分析综述[J].地震工程与工程振动,2009,01:50-57.He Qingxiang,shen zhuyan.Review of Structural Seismic Analysis of Travelling Wave Efects.Earthquake engineering and engineering Dynamic.,2009,01:50-57.(In Chinese)
[18]丁阳,张笈玮,李忠献.行波效应对大跨度空间结构随机地震响应的影响[J].地震工程与工程振动,2008,01:24-31.Ding Yang,Zhang Jiwei,LI Zhongxian.Influence of wave travelling effect on random seismic responses of long-span spatial structures[J].Earthquake engineering and engineering Dynamic.2008,01:24-31.(In Chinese)
[2]Thráinsson H,Kiremidjian A S,Winterstein S R.Modeling of earthquake ground motion in the frequency domain.Technical Report 134[R].The John A.Blume Earthquake Engineering Center,Department of Civil and Environmental Engineering,Stanford University,Stan ford,California:USA,2000.
[3]屈铁军,王前信.空间相关的多点地震动合成(I)基本公式[J].地震工程与工程振动,1998,01:8-15.Qu Tiejun,Wang Qianxin.Simulation of spatial correlative time histories of multi-point ground motion,part1:Fundamental formulas[J].Earthquake engineering and Engineering Dynamic,1998,01:8-15.(In Chinese)
[4]吴勇信,高玉峰.基于功率谱矩阵开方分解的空间相关多点地震动合成方法[J].工程力学,2012,04:29-35.Wu Yongxin,Gao Yufeng.Simulation of spatial correlative ground motions based on the square root operation of power spectrum matrix[J].Engineering Mechanics,2012,04:29-35.(In Chinese)
[5]Thráinsson H,kiremidjian A S.Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform[J].Earthquake Engineering and Structural Dynamics,2002,31:2023-2048.
[6]田玉基,杨庆山.基于相位差谱的空间相关非平稳地震动场的模拟[J].计算力学学报,2010,05:828-833.Tian Yuji,Yang Qingshan.Phase-difference-based simulation of spatial correlated and non-stationary seismic ground motions[J],Chinese Journal of Computational Mechanics,2010,05:828-833.(In Chinese)
[7]Nigam N C.Phase properties of a class of random process[J].Earthquake-Engineering and Structural Dynamics,1982,11(10):711-717.
[8]Shrikhande M,Gupta V K.On the characterization of the phase spectrum for strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4):465-482.
[9]Ohsaki Y.On the significance of phase content in earthquake ground motion[J].Earthquake Engineering and structural Dynamics,1979,7:427-439.
[10]Sato T,Muro Y,Wang H B,et.al.Phase spectrum modeling to simulate design earthquake motion[J].Journal of Natural Disaster Science,2002,24(2):91-100.
[11]朱昱,冯启民.相位差谱的分布特征和人造地震动[J].地震工程与工程振动,1992,01:37-44.Zhu Yu,Feng Qimin.Distribution characteristic of phase difference spectrum and artificial accelerogram[J].Earthquake Engineering and Engineering Dynamic,1992,01:37-44.(In Chinese)
[12]Yokoyama T,Theofanopoulos N,Watabe M.Distribution of phase differences in relation to the earthquake magnitude,distance to the fault and local soil conditions[C]//Proceedings of Ninth World Conference on Earthquake Engineering,1988:2
[13]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132-1143.
[14]Conditional simulation of spatially correlated earthquake ground motion Vanmarcke,Erik H.(Princeton Univ,Princeton,United States);Heredia-Zavoni,Ernesto;Fenton,Gordon A.Source:Journal of Engineering Mechanics,v 119,n 11,p 2332-2352,Nov 1993
[15]Conditioned simulation of local fields of earthquake ground motion.Vanmarcke,Erik H.(Princeton Univ,Princeton,United States);Fenton,Gordon A.Source:Structural Safety,v 10,.n 1-3,p 247-264,May 1991 v 95,n 4,p 1387-1400,August 2005
[16]李忠献,林伟,丁阳.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报,2007,01:1-8.Li Zhongxian,lin Wei,Ding Yang.Influence of Wave Passage Effect on Seismic Responses of Long-Span Spatial Lattice Structures.[J]Journal of Tianjing University,2007,01:1-8.(In Chinese)
[17]何庆祥,沈祖炎.结构地震行波效应分析综述[J].地震工程与工程振动,2009,01:50-57.He Qingxiang,shen zhuyan.Review of Structural Seismic Analysis of Travelling Wave Efects.Earthquake engineering and engineering Dynamic.,2009,01:50-57.(In Chinese)
[18]丁阳,张笈玮,李忠献.行波效应对大跨度空间结构随机地震响应的影响[J].地震工程与工程振动,2008,01:24-31.Ding Yang,Zhang Jiwei,LI Zhongxian.Influence of wave travelling effect on random seismic responses of long-span spatial structures[J].Earthquake engineering and engineering Dynamic.2008,01:24-31.(In Chinese)
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