对若干地震动包线函数的比较分析
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摘要
对已经提出的四种经常使用的包线函数模型进行了评价,认为对于评价单峰点包线函数,除了要求形式简单以外,其优劣可以用函数对峰点位置和高峰隆起程度的控制能力作为标准。借助结构动力试验中阻尼比的确定方法,提出用平稳度指数来评价单峰点包线函数平缓程度。据此对四种包线函数的平稳度进行了分析,还对某些包线函数提出了一些改进。通过分析指出如果把“金井清谱”和“Penzien谱”等模型,看作是时间域中包线,这两个模型的调节能力都很强,而且比较方便,其中“Penzien谱”模型可以用来表示具有两个峰点的包线。文中的比较分析结果可以用于地震动包线函数选择和模拟。
The evaluation has been made for normally used four envelope functions of earthquake ground motion.Being as evaluation standard of the envelope function this paper point out that the controlling capability of the parameters involved in functions to the peak position of the envelope with single peak and the shape of the envelope are essential besides simplicity of the formula of envelope function.With the aid of the method for determining damping ratio in structural dynamic experiment the so called stationarity index is used to estimate the gentleness of the peak's slope.By means of this index this paper analyzes the gentleness of the peak's slope for the four normally used envelope functions and some of them have been modified.It is also pointed out that if Kanai power spectrum and Penzien power spectrum are regarded as envelope function in time domain,these models are powerful and easy from viewpoint on controlling envelope shape ability.Penzien power spectrum is even able to describe the envelope with two peaks like camel.The results of comparative analyses in this paper can be used to select and simulate earthquake ground motion envelopes.
The evaluation has been made for normally used four envelope functions of earthquake ground motion.Being as evaluation standard of the envelope function this paper point out that the controlling capability of the parameters involved in functions to the peak position of the envelope with single peak and the shape of the envelope are essential besides simplicity of the formula of envelope function.With the aid of the method for determining damping ratio in structural dynamic experiment the so called stationarity index is used to estimate the gentleness of the peak's slope.By means of this index this paper analyzes the gentleness of the peak's slope for the four normally used envelope functions and some of them have been modified.It is also pointed out that if Kanai power spectrum and Penzien power spectrum are regarded as envelope function in time domain,these models are powerful and easy from viewpoint on controlling envelope shape ability.Penzien power spectrum is even able to describe the envelope with two peaks like camel.The results of comparative analyses in this paper can be used to select and simulate earthquake ground motion envelopes.
引文
[1]李英民,赖明,白绍良.三维地震动强度非平稳特性的相关性研究[J].重庆建筑大学学报,2000,22(2增刊):22-26.
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[10]Sh inozuka M,Sato Y.S imu lation of nonstatioanary random process,J.ASCE,132(EM 1):11-40.
[11]清水信行.机器,配管系の耐震设计法に关すゐ研究[J].东京大学生产技术研究所报告,1973,22(1):1-83.
[2]胡聿贤.地震工程学[M].北京:科学出版社,1988.
[3]徐国栋,周锡元,董娣,杨润林.强震地面运动的超随机特性研究[J].地震工程与工程振动,2005,25(2):1-9.
[4]胡聿贤,周锡元.弹性体系非平稳地震反应的近似计算方法[A].中国科学院土木建筑研究所,地震工程研究报告集(第二集)[C].北京:科学出版社,1965.
[5]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).
[6]朱位秋.随机振动[M].北京:科学出版社,1992.
[7]Patrick R C.Sensitivity analysis of dynam ic system s sub jected to seism ic Loads[D].Ph ilosophy of Doctor D egree,May 2001.
[8]Iyengar R N and Iyengar K T S R.A stationary random process model for earthquake accelerogram s[J].BSSA,1969,59(3):1163-1188.
[9]Goto N B.and Tok i K.Structural response to nonstatioanary random excitation[A].Proceed ings 4WCEE[C].1969,130-144.
[10]Sh inozuka M,Sato Y.S imu lation of nonstatioanary random process,J.ASCE,132(EM 1):11-40.
[11]清水信行.机器,配管系の耐震设计法に关すゐ研究[J].东京大学生产技术研究所报告,1973,22(1):1-83.
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