工程随机地震动物理模型的参数统计与检验
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摘要
利用PEER强震记录数据库,确定了一类实用的随机地震动模型的参数概率分布。依据GB50011-2010规定的场地类别,对4438条实测地震动记录进行分组。引用系统识别方法对不同场地上的地震动记录进行参数识别,据此结果,对工程地震动物理随机函数模型的基本参数进行了统计分析,给出了随机地震动模型参数的概率分布密度。对基本随机参数的概率空间进行剖分,结合波群叠加方法生成地震动时程,计算获得了随机地震动反应谱。通过比较随机反应谱和实测地震动反应谱的统计特征量,验证了地震动物理随机函数模型及基本随机参数统计结果的正确性。
Applying the PEER NGA Database,the parametric probability distributions of the random function model of seismic ground motions are presented.According to the site classification in GB50011-2010,4438 ground motion records are classified.The sample values of the stochastic parameters are identified on different site classes using the system identification method.Based on the parametric identification results,the statistic analysis of the stochastic parameters in the random function model of seismic ground motions is made,and the probability density functions of the stochastic parameters are obtained.Selecting the representative point sets in the probability space of the random function parameters,the sample sets of the seismic ground motions are generated with the application of the superposition method of wave groups and the response spectrum sample sets are calculated.The statistical feature comparisons of response spectra between the realistic ground motion records and the synthesized ground motion samples show the validity of the random function model and the statistic results of the physical random parameters.
Applying the PEER NGA Database,the parametric probability distributions of the random function model of seismic ground motions are presented.According to the site classification in GB50011-2010,4438 ground motion records are classified.The sample values of the stochastic parameters are identified on different site classes using the system identification method.Based on the parametric identification results,the statistic analysis of the stochastic parameters in the random function model of seismic ground motions is made,and the probability density functions of the stochastic parameters are obtained.Selecting the representative point sets in the probability space of the random function parameters,the sample sets of the seismic ground motions are generated with the application of the superposition method of wave groups and the response spectrum sample sets are calculated.The statistical feature comparisons of response spectra between the realistic ground motion records and the synthesized ground motion samples show the validity of the random function model and the statistic results of the physical random parameters.
引文
[1]Housner G W.Characteristics of strong-motion earthquakes[J].Bulletin of the Seismological Society of America,1947,37(1):19-27.
[2]Kanai K.Semi-empirical formula for the seismic characteristics of the ground[J].Bulletin of Earthquake Research Institute,1957,35:309-325.
[3]Kanai K.An empirical formula for the spectrum of strong earthquake motions[J].Bulletin of Earthquake Research Institute,1961,39:85-95.
[4]Clough R,Penzien J.Dynamic of structures[M].New York:McGraw-Hill,Inc.,1975.
[5]欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-54.OU Jinping,NIU Ditao,DU Xiuli.Random earthquake ground motion model and its parameter determination used in aseismic design[J].Journalof Earthquake Engineering and Engineering Vibration,1991,11(3):45-54.(in Chinese)
[6]李杰.工程结构随机动力激励的物理模型,随机振动理论与应用新进展[A].李杰,陈建兵,主编[M].上海:同济大学出版社,2008:119-132.LI Jie.Physical stochastic models for the dynamic excitations of engineering structures[A].Li J,Chen J B,eds.Advances in Theory and Applica-tions of Random Vibration[M].Shanghai:Tongji University Press,2008.119-132.(in Chinese)
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[8]艾晓秋,李杰.基于随机Fourier谱的地震动合成研究[J].地震工程与工程振动,2009,29(2):7-12.AI Xiaoqiu,LI Jie.Synthesis method of non-stationary ground motion based on random Fourier spectra[J].Journal of Earthquake Engineering andEngineering Vibration,2009,29(2):7-12.(in Chinese)
[9]安自辉,李杰.地震动随机函数模型研究(I)——模型建立[J].地震工程与工程振动,2009,29(5):36-45.AN Zihui,LI Jie.Research on random function model of strong ground motion(Ⅰ):model constructing[J].Journal of Earthquake Engineeringand Engineering Vibration,29(5):36-45.(in Chinese)
[10]安自辉,李杰.地震动随机函数模型研究(II)——参数统计与模型验证[J].地震工程与工程振动,2009,29(6):40-47.AN Zihui,LI Jie.Research on random function model of strong ground motion(Ⅱ):parametric statistic and model certification[J].Journal ofEarthquake Engineering and Engineering Vibration,2009,29(6):40-47(in Chinese)
[11]王鼎,李杰.工程地震动的物理随机函数模型[J].中国科学:技术科学,2011,41(3):356-364.WANG Ding,LI Jie.Physical random function model of ground motions for engineering purposes[J].Sci China Tech Sci,2011,54:175-182
[12]王鼎,李杰.工程场地地震动随机场的物理模型[J].中国科学:技术科学,2012,42(7):798-807WANG Ding,LI Jie.A random physical model of seismic ground motion field on local engineering site[J].Sci China Tech Sci,2012,55:2057-2065
[13]Pacific Earthquake Engineering Research(PEER)NGA Database[Z],http://peer.berkely.edu/nga/
[14]郭锋,吴东明,徐国富,等.中外抗震设计规范场地分类对应关系[J].土木工程与管理学报,2011,28(2):63-66.GUO Feng,WU Dongming,XU Guofu,et al.Site classification corresponding relationship between Chinese and the overseas seismic design codes[J].Journal of Huazhong University of Science and Technology.Urban Science,2011,28(2):63-66.(in Chinese)
[15]陈建兵,李杰.结构随机响应概率密度演化分析的数论选点法[J].力学学报,2006,38(1):134-140.CHEN Jianbing,LI Jie.Strategy of selecting points via number theoretical method in probability density evolution analysis of stochastic response ofstructures[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):134-140.(in Chinese)
[2]Kanai K.Semi-empirical formula for the seismic characteristics of the ground[J].Bulletin of Earthquake Research Institute,1957,35:309-325.
[3]Kanai K.An empirical formula for the spectrum of strong earthquake motions[J].Bulletin of Earthquake Research Institute,1961,39:85-95.
[4]Clough R,Penzien J.Dynamic of structures[M].New York:McGraw-Hill,Inc.,1975.
[5]欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-54.OU Jinping,NIU Ditao,DU Xiuli.Random earthquake ground motion model and its parameter determination used in aseismic design[J].Journalof Earthquake Engineering and Engineering Vibration,1991,11(3):45-54.(in Chinese)
[6]李杰.工程结构随机动力激励的物理模型,随机振动理论与应用新进展[A].李杰,陈建兵,主编[M].上海:同济大学出版社,2008:119-132.LI Jie.Physical stochastic models for the dynamic excitations of engineering structures[A].Li J,Chen J B,eds.Advances in Theory and Applica-tions of Random Vibration[M].Shanghai:Tongji University Press,2008.119-132.(in Chinese)
[7]李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):21-26.LI Jie,AI Xiaoqiu.Study on random model of earthquake ground motion based on physical process[J].Journal of Earthquake Engineering and En-gineering Vibration,2006,26(5):21-26.(in Chinese)
[8]艾晓秋,李杰.基于随机Fourier谱的地震动合成研究[J].地震工程与工程振动,2009,29(2):7-12.AI Xiaoqiu,LI Jie.Synthesis method of non-stationary ground motion based on random Fourier spectra[J].Journal of Earthquake Engineering andEngineering Vibration,2009,29(2):7-12.(in Chinese)
[9]安自辉,李杰.地震动随机函数模型研究(I)——模型建立[J].地震工程与工程振动,2009,29(5):36-45.AN Zihui,LI Jie.Research on random function model of strong ground motion(Ⅰ):model constructing[J].Journal of Earthquake Engineeringand Engineering Vibration,29(5):36-45.(in Chinese)
[10]安自辉,李杰.地震动随机函数模型研究(II)——参数统计与模型验证[J].地震工程与工程振动,2009,29(6):40-47.AN Zihui,LI Jie.Research on random function model of strong ground motion(Ⅱ):parametric statistic and model certification[J].Journal ofEarthquake Engineering and Engineering Vibration,2009,29(6):40-47(in Chinese)
[11]王鼎,李杰.工程地震动的物理随机函数模型[J].中国科学:技术科学,2011,41(3):356-364.WANG Ding,LI Jie.Physical random function model of ground motions for engineering purposes[J].Sci China Tech Sci,2011,54:175-182
[12]王鼎,李杰.工程场地地震动随机场的物理模型[J].中国科学:技术科学,2012,42(7):798-807WANG Ding,LI Jie.A random physical model of seismic ground motion field on local engineering site[J].Sci China Tech Sci,2012,55:2057-2065
[13]Pacific Earthquake Engineering Research(PEER)NGA Database[Z],http://peer.berkely.edu/nga/
[14]郭锋,吴东明,徐国富,等.中外抗震设计规范场地分类对应关系[J].土木工程与管理学报,2011,28(2):63-66.GUO Feng,WU Dongming,XU Guofu,et al.Site classification corresponding relationship between Chinese and the overseas seismic design codes[J].Journal of Huazhong University of Science and Technology.Urban Science,2011,28(2):63-66.(in Chinese)
[15]陈建兵,李杰.结构随机响应概率密度演化分析的数论选点法[J].力学学报,2006,38(1):134-140.CHEN Jianbing,LI Jie.Strategy of selecting points via number theoretical method in probability density evolution analysis of stochastic response ofstructures[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):134-140.(in Chinese)
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