空间相关非平稳地震动反应谱拟合
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摘要
为了给大跨度结构的抗震分析提供空间多点相关地震动加速度时程,在前人研究的基础上,提出根据标准设计反应谱合成非平稳空间相关多点地震波的方法.从规范反应谱出发得到功率谱,然后由地震动的空间相关性得到功率谱矩阵,用三角级数法生成各点地震动.生成的地震波具有地震动的空间相关性,同时还考虑了强度和频率的双重非平稳性,在保证相关性的前提下对初始波进行修正使其反应谱与规范反应谱逼近.数值算例表明,利用该方法生成的地震动加速度反应谱具有较高的拟合精度,合成的多点时程可用于大坝等延伸结构多点激励的地震动输入.
In order to provide spatially correlated multi-station ground motion for the seismic analysis of structures with large spans,a method for the generation of spatially correlated non-stationary multi-station ground motion compatible with the code response spectra is proposed based on previous research.The power spectra were determined using the code response spectra.The matrix of the power spectra was then obtained from the spatial correlation of the ground motion, and the ground motion at various stations was generated using the trigonometric series method.The generated seismic waves were spatially correlated to the ground motion,and considered the double non-stationary properties of strength and frequency.Under the prequisite of ensuring correlation,the original waves were modified,and their response spectra were made to be closer to the code response spectra.Numerical simulations show that the response spectra of the ground motion generated by the proposed method are of high precision,and the generated multi-station hydrographs of ground motion can be used as the input of ground motion for the analysis of structures such as dams considering the effect of multi-station excitation.
In order to provide spatially correlated multi-station ground motion for the seismic analysis of structures with large spans,a method for the generation of spatially correlated non-stationary multi-station ground motion compatible with the code response spectra is proposed based on previous research.The power spectra were determined using the code response spectra.The matrix of the power spectra was then obtained from the spatial correlation of the ground motion, and the ground motion at various stations was generated using the trigonometric series method.The generated seismic waves were spatially correlated to the ground motion,and considered the double non-stationary properties of strength and frequency.Under the prequisite of ensuring correlation,the original waves were modified,and their response spectra were made to be closer to the code response spectra.Numerical simulations show that the response spectra of the ground motion generated by the proposed method are of high precision,and the generated multi-station hydrographs of ground motion can be used as the input of ground motion for the analysis of structures such as dams considering the effect of multi-station excitation.
引文
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[15]DL5073—2000,水工建筑物抗震设计规范[S].
[2]赵光恒,杨伟林.随机地震波的构造及其在重力坝抗震计算中的应用[J].河海大学学报,1992,20(1):38-43.(ZHAO Guang-heng,YANG Wei-lin.Generation of artificial random earthquakes and its application in calculation of dynamic reliability of gravity dams[J].Journal of Hohai University,1992,20(1):38-43.(in Chinese))
[3]牛志国,李同春,王亚莉.基于水工设计反应谱的人工地震波合成[J].河海大学学报:自然科学版,2007,35(3):262-266.(NIU Zhi-guo,LI Tong-chun.Synthesis of simulated earthquake waves based on hydraulic design response spectrum[J].Journal of HohaiUniversity:Natural Sciences,2007,35(3):262-266.(in Chinese))
[4]Der KIUREGHIAN A.A coherency model for spatial varying ground motion[J].Earthquake Engineering and Structural Dynamics,1996,25(1):99-111.
[5]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.(QU Tie-jun,WANG Jun-jie,WANG Qian-xin.Practical spatial variable model of ground motion power spectrum[J].Acta Seismologica Sinica,1996,18(1):55-62.(in Chinese))
[6]屈铁军,王前信.空间相关多点地震动合成(Ⅱ):合成实例[J].地震工程与工程振动,1998,18(2):25-32.(QU Tie-jun,WANG Qian-xin.Simulation of spatial correlative time histories of multi-point ground motion,partⅡ:application of fundamental formulas[J].Earthquake Engineering and Engineering Vibration,1998,18(2):25-32.(in Chinese))
[7]HAO Hong,OLIVEIRA C S,Penzien J.Multiple-station ground motion processing and simultion based on SMART-1 array date[J].Nuclear Engineering and Design,1989,111:293-310.
[8]屈铁军,王前信.空间相关多点地震动合成(Ⅰ):基本公式[J].地震工程与工程振动,1998,18(1):8-15.(QU Tie-jun,WANGQian-xin.Simulation of spatial correlative time histories of multi-point ground motion,part I:fundamental formulas[J].EarthquakeEngineering and Engineering Vibration,1998,18(1):8-15.(in Chinese))
[9]董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究[J].地震工程与工程振动,2007,27(3):10-14.(DONG Ru-bo,ZHOU Jing,FENG Xin.Simulation of non-stationary spatial correlative time histories of multi-point ground motion[J].EarthquakeEngineering and Engineering Vibration,2007,27(3):10-14.(in Chinese))
[10]KAUL M K.Stochastic characterization of earthquake through theirs spectrum[J].Earthquake Engineering and Structural Dynamics,1978,6(5):497-509.
[11]曹国安,张鸿儒.地震动强度包络函数模型[J].北方交通大学学报,1998,22(1):29-33.(CAO Guo-an,ZAHNG Hong-ru.Envelope function model of earthquake intensity[J].Journal of Northern Jiaotong University,1998,22(1),29-33.(in Chinese))
[12]朱昱,冯启民.地震加速度相位差谱分布的数字特征[J].地震工程与工程振动,1993,13(2):30-37.(ZHU Yu,FENG Qi-min.Digital characteristics of phase difference spectrum distribution of earthquake acclerogram[J].Earthquake Engineering and EngineeringVibration,1993,13(2):30-37.(in Chinese))
[13]屈铁军,宋金峰,陈厚群.拱坝自由场地地震动模拟[J].水利学报,1998,29(2):72-78.(QU Tie-jun,SONG Jin-feng,CHENHou-qun.Simulation of ground motion on free field of arch dam[J].Journal of Hydraulic Engineering,1998,29(2):72-78.(in Chinese))
[14]金安桥水电站可行性研究报告[R].昆明:中国水电顾问集团昆明勘测设计研究院,2004.
[15]DL5073—2000,水工建筑物抗震设计规范[S].
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