最小二乘法分段拟合标定反应谱方法
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摘要
反应谱的标定方法直接关系到反应谱特征参数的确定,合理的反应谱标定方法得到的设计反应谱能够真实地表达地震动的特性,是确定地震动输入的重要环节。提出了基于坐标变换的最小二乘法分段拟合方法,通过对汶川大地震不同场地典型强震记录反应谱的标定,对比了反应谱不同的标定方法,根据反应谱标定图形的对比及误差分析认为,最小二乘法分段拟合方法是操作简便且标定结果合理的反应谱标定方法。
The method of calibrating seismic design response spectrum is related directly to the determination of the characteristic parameters of response spectrum,and seismic design response spectrum based on logical calibrating method can express the real characteristic of earthquake strong motion.So calibration of seismic design response spectrum is the important chain of structures' seismic input determination.This paper advances least square fitting method of calibrating seismic design response spectrum based on coordinate transformation.By calculating the characteristic parameters of typical Wenchuan earthquake strong motion records and comparing different calibrating methods and analyzing the error of different methods,it points out that sectional least square fitting method is a simple and reasonable calibrating method.
The method of calibrating seismic design response spectrum is related directly to the determination of the characteristic parameters of response spectrum,and seismic design response spectrum based on logical calibrating method can express the real characteristic of earthquake strong motion.So calibration of seismic design response spectrum is the important chain of structures' seismic input determination.This paper advances least square fitting method of calibrating seismic design response spectrum based on coordinate transformation.By calculating the characteristic parameters of typical Wenchuan earthquake strong motion records and comparing different calibrating methods and analyzing the error of different methods,it points out that sectional least square fitting method is a simple and reasonable calibrating method.
引文
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[2]郭晓云,薄景山,等.抗震设计反应谱的标定方法[J].世界地震工程,2011,21(1):66-71.GUO Xiaoyun,Bo jingshan,et al.Methods of calibrating seismic design response spectrum[J].World Earthquake Engineering,2011,21(1):66-71.
[3]郭晓云.汶川地震反应谱研究[D].哈尔滨:中国地震局工程力学研究所.2011.GUO Xiaoyun.Study on response Spectrum of WenChuan Earthquake[D].Harbin:Institute of Engineering Mechanics,China Earthquake Admin-istration.2011.
[4]夏江,陈清军.基于遗传算法的设计地震反应谱标定方法[J].力学季刊,2006,27(2):317-323.XIA Jiang,Chen Qingjun.Calibrating method of seismic response spectrum based on genetic algorithm[J].Chinese Quarterly of Mechanics,2006,27(2):317-323.
[5]耿淑伟.抗震设计规范中地震作用的规定[D].哈尔滨:中国地震局工程力学研究所.2005.GENG Shuwei.Earthquake action provision in seismic design code[D].Harbin:Institute of Engineering Mechanics,China Earthquake Adminis-tration.2005.
[6]刘红帅.基于小生境遗传算法的设计地震动反应谱标定方法[J].岩土工程学报,2009,31(6):975-979.LIU Hongshuai.Calibrating method for seismic response spectra based on niche genetic algorithm[J].Chinese Journal of Geotechnical Engineer-ing,2009,31(6):975-979.
[7]Anil K.Chopra:Earthquake Engineering and Structural Dynamics[J].2007,36:3-12.
[8]Anil K.Chopra:Dynamics of Structure-Theory and application to Earthquake Engineering[M].BeiJing:2005 Qinghua University Press.
[9]薄景山,李秀领,等.场地条件对地震动影响研究的若干进展[J].世界地震工程,2003,19(2):11-16.Bo Jingshan,Li Xiuling,et al.Some key problems about site effects on seismic ground motion parameters[J].World Earthquake Engineering,2003,19(2):11-16.
[10]胡聿贤.地震工程学(第二版)[M].北京:地震出版社.2006:469-523.Hu Yuxian.Earthquake Engineering(second edition)[M].Bei Jing:Earthquake Press,2006:469-523.
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