与规范反应谱相对应的Clough-Penzien模型参数研究
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摘要
根据我国现行抗震规范(GB50011-2001)的反应谱曲线,对Clough-Penzien模型的参数取值进行了具体研究。采用时间包络函数考虑地震动的非平稳性,根据加速度峰值等效原则确定了谱强度因子S0的表达式,表明谱强因子不仅与地面加速度特性、场地类别有关,而且与结构的动力特性(阻尼比、自振周期)有关。最后对谱强度因子计算做了简化处理,为随机抗震计算分析提供了参考依据。
A study on the parameters of Clough-Penzien seismic random model based on the response spectrum in the GB50011-2001 is carried out.The non-stationary nature of the ground motion is considered by the envelope function.It is found that S0 can be determined by the equivalence principle of peak ground acceleration.The results show that S0 is not only related to ground acceleration and site condition but also to structural dynamic property(damping ratio,natural vibration period)as well.Ultimately,a simplified method for calculating S0 is carried out.The parameters given in this study provide a theoretical fundamental for stochastic seismic response analysis of structures.
A study on the parameters of Clough-Penzien seismic random model based on the response spectrum in the GB50011-2001 is carried out.The non-stationary nature of the ground motion is considered by the envelope function.It is found that S0 can be determined by the equivalence principle of peak ground acceleration.The results show that S0 is not only related to ground acceleration and site condition but also to structural dynamic property(damping ratio,natural vibration period)as well.Ultimately,a simplified method for calculating S0 is carried out.The parameters given in this study provide a theoretical fundamental for stochastic seismic response analysis of structures.
引文
[1]Housner G W.Characteristic of strong motion earthquakes[J\〗.Bull Seis Soc Am,1947,37(1):19-31.
[2]Kanai K.Semi-empirical formula for the seismic characteristics of the ground[J].Bull.of Earthquake Research Inst.,Univ of Tokyo,Japan,1957,35,309-325.
[3]Tajimi H.A statistical method of determining the maximumresponse of a building structure during an earthquake[A].Proc of2nd World Conf onEarthquake Engineering[C],Tokyo and Kyoto,Japan,1960.
[4]胡聿贤,周锡元.弹性体在平稳和平稳化地面运动下的反应[A].地震工程研究报告集第一集[C].北京:科学出版社,1962,33-50.
[5]Clough R W,Penzien J.Dynamics of Structures[M].New York:Mc Graw-Hill,Inc.,1975.
[6]欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构效应[J].哈尔滨建筑工程学院学报,1990,23(2):24-33.
[7]陈国兴,金永彬,宰金珉.高层建筑随机地震反应的简捷计算[J].南京建筑工程学院学报,1999,(1):29-37.
[8]张治勇,孙柏涛,等.新抗震规范地震动功率谱模型参数的确定[J].世界地震工程,2000,16(3):33-38.
[9]Davenport A G.Note on the distribution of the largest value of a random function with application to gust loading[J].Proceedings of the Institu-tion of Civil Engineers,London,1964,28,187-196.
[10]Lai P S-S.Statistical characterization of strong ground motions using power spectral density function[J].Bulletin of the Seismological Society ofAmerican,1982,72(1):259-273.
[2]Kanai K.Semi-empirical formula for the seismic characteristics of the ground[J].Bull.of Earthquake Research Inst.,Univ of Tokyo,Japan,1957,35,309-325.
[3]Tajimi H.A statistical method of determining the maximumresponse of a building structure during an earthquake[A].Proc of2nd World Conf onEarthquake Engineering[C],Tokyo and Kyoto,Japan,1960.
[4]胡聿贤,周锡元.弹性体在平稳和平稳化地面运动下的反应[A].地震工程研究报告集第一集[C].北京:科学出版社,1962,33-50.
[5]Clough R W,Penzien J.Dynamics of Structures[M].New York:Mc Graw-Hill,Inc.,1975.
[6]欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构效应[J].哈尔滨建筑工程学院学报,1990,23(2):24-33.
[7]陈国兴,金永彬,宰金珉.高层建筑随机地震反应的简捷计算[J].南京建筑工程学院学报,1999,(1):29-37.
[8]张治勇,孙柏涛,等.新抗震规范地震动功率谱模型参数的确定[J].世界地震工程,2000,16(3):33-38.
[9]Davenport A G.Note on the distribution of the largest value of a random function with application to gust loading[J].Proceedings of the Institu-tion of Civil Engineers,London,1964,28,187-196.
[10]Lai P S-S.Statistical characterization of strong ground motions using power spectral density function[J].Bulletin of the Seismological Society ofAmerican,1982,72(1):259-273.
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