中硬场地地震影响系数谱的概率保证
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摘要
我国抗震规范中采用的是地震影响系数谱,从概率上来研究规范反应谱具有重要意义.采集中硬场地上205条地震记录,研究了反应谱的概率分布模型,并运用K-S检验进行了验证.通过统计分析获得了对数正态分布,研究了规范反应谱的概率保证,发现规范反应谱在某些区段的概率保证仅有20%~30%.在加速度、速度和位移控制段获得不同概率保证的谱曲线,并对规范反应谱进行了调整,依据规范反应谱的形式运用最小二乘法对得出的谱曲线进行了拟合,拟合效果较好.
The research on probability density function of seismic influence coefficient of code for seismic design has great significance.Based on 205 earthquake records collected from the medium-stiff soil site,this paper derived the probability distribution model of response spectra,and it is verified by means of K-S test method.According to lognormal distribution,this paper studies the probability of response spectra of Chinese code which is only 20%~30% in some sections.High frequencies,medium frequencies and low frequencies of response spectra of Chinese code are adjusted and the response spectra curves having different probability in the three sections are given.According to the shape of response spectra of Chinese code,least square method is used to fit spectral curve.
The research on probability density function of seismic influence coefficient of code for seismic design has great significance.Based on 205 earthquake records collected from the medium-stiff soil site,this paper derived the probability distribution model of response spectra,and it is verified by means of K-S test method.According to lognormal distribution,this paper studies the probability of response spectra of Chinese code which is only 20%~30% in some sections.High frequencies,medium frequencies and low frequencies of response spectra of Chinese code are adjusted and the response spectra curves having different probability in the three sections are given.According to the shape of response spectra of Chinese code,least square method is used to fit spectral curve.
引文
[1]白志强,刘文锋,陈鹏.基于随机反应分析方法的反应谱研究[J].青岛理工大学学报,2008,29(1):24-28.BAI Zhi-qiang,LIU Wen-feng,CHEN Peng.Study on Response Spectrum Based on Random Analysis Method[J].Journal of QingdaoTechnological University,2008,29(1):24-28.
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[5]马东辉,周锡元,苏经宇.非线性屈服加速度反应谱的统计分析研究[C]//第五届全国地震工程学术会议论文集,1998:101-106.MA Dong-hui,ZHOU Xi-yuan,SU Jing-yu.Statistic Analysis of Yield Non-Linear Acceleration Response Spectra[C]//5th NationalConference of Earthquake Engineering,1998:101-106.
[6]Building Seismic Safety Council.FEMA450 Recommended Provisions for Seismic Regulations for New Buildings and Other StructuresPart1:Provisions[S].Washington D C:National Institute of Building Sciences,2003.
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[9]NEWMARK N M,HALL W J.Seismic Design Criteria for Nuclear Reactor Facilities[C]//Proceedings of the 4th World Conferenceon Earthquake Engineering.Santiago,Chile,1969,II(B-4):37-50.
[2]胡聿贤.地震工程学[M].2版.北京:地震出版社,2006.HU Yu-xian.Earthquake Engineering[M].2nd ed.Beijing:Earthquake Press,2006.
[3]YANG J L,LIU S C.Distribution of Maximum Statistical Response of Structures Subjected to Earthquake Ground Motions[J].J EngMech,ASCE,1981,107:1089-1102.
[4]EDUARDO Miranda.Probabilistic Site-Dependent Nonlinear Spectra[J].EESD,1993,22:1031-1046.
[5]马东辉,周锡元,苏经宇.非线性屈服加速度反应谱的统计分析研究[C]//第五届全国地震工程学术会议论文集,1998:101-106.MA Dong-hui,ZHOU Xi-yuan,SU Jing-yu.Statistic Analysis of Yield Non-Linear Acceleration Response Spectra[C]//5th NationalConference of Earthquake Engineering,1998:101-106.
[6]Building Seismic Safety Council.FEMA450 Recommended Provisions for Seismic Regulations for New Buildings and Other StructuresPart1:Provisions[S].Washington D C:National Institute of Building Sciences,2003.
[7]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):39-48.L Xi-lin,ZHOU Ding-song.Ductility Demand Spectra and Inelastic Displacement Spectra Considering Soil Conditions and DesignCharacteristic Periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):39-48.
[8]GB 50011—2001,建筑抗震设计规范[S].GB 50011—2001,Code for Seismic Design of Buildings[S].
[9]NEWMARK N M,HALL W J.Seismic Design Criteria for Nuclear Reactor Facilities[C]//Proceedings of the 4th World Conferenceon Earthquake Engineering.Santiago,Chile,1969,II(B-4):37-50.
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