地震动群延时不确定性对反应谱的影响研究
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摘要
为了考察外部激励群延时对反应谱的影响,分别从确定性的角度和统计的角度分析了群延时对线性单自由度结构体系位移响应最大值的影响。推导出了对应于给定单自由度结构体系在任意外部激励作用下最大位移响应的群延时。据此可以利用任意外部激励的群延时与结构体系的最大位移响应群延时的关系评估体系在该外部激励作用下位移响应峰值的大小。统计分析的结果表明:激励群延时的均值和方差对结构体系位移响应最大值的影响具有明显的规律性;激励群延时的分布频数与结构体系最大位移响应之间也存在着显著的关系。
In this paper,the influence of group delay time(GDT) of excitation on response spectra is investigated.The effect of GDT properties on the maximum displacement response of linear single-degree-of-freedom system is assessed by deterministic and statistical analysis.GDT corresponding to the maximum displacement response of a certain structure subjected to all kinds of excitations is derived.By checking the relationship between GDT of excitation and that of structure maximum displacement response,the peak displacement response of system under this excitation can be evaluated.Results of the statistical analysis show that there are significant relations between mean and variance of GDT of excitation and system peak displacement response as well as the frequency distribution of GDT of excitation and system peak displacement response.
In this paper,the influence of group delay time(GDT) of excitation on response spectra is investigated.The effect of GDT properties on the maximum displacement response of linear single-degree-of-freedom system is assessed by deterministic and statistical analysis.GDT corresponding to the maximum displacement response of a certain structure subjected to all kinds of excitations is derived.By checking the relationship between GDT of excitation and that of structure maximum displacement response,the peak displacement response of system under this excitation can be evaluated.Results of the statistical analysis show that there are significant relations between mean and variance of GDT of excitation and system peak displacement response as well as the frequency distribution of GDT of excitation and system peak displacement response.
引文
[1]Kaul M K.Stochastic characterization of earthquakes through their response spectrum[J].Earthquake Engineering and Structural Dynamics,1978,6(5):497-509.
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[5]赵凤新,胡聿贤.地震动非平稳性与幅值谱和相位差谱的关系[J].地震工程与工程振动,1994,14(2):1-6.ZHAO Fengxin,HU Yuxian.On the relationsip of earthquake ground motion's non-statinary with its amplitude speetrum and phase differences spec-trum[J].Journal of Earthquake Engineering and Engineering Vibration,1994,14(2):1-6.(in Chinese)
[6]程炜,刘光栋,易伟建.地震动相位谱与相位差谱分布特征的研究[J].湖南大学学报:自然科学版,1999,26(2):82-91.CHENG Wei,LIU Guangdong,YI Weijian.Study of properties of phase spectrum and phase differeme spectrum of strong ground motions[J].Jour-nal of Hunan University(Natural sciences Edition),1999,26(2):82-91.(in Chinese)
[7]Shrikhande M,Gupta V K.On the characterization of the phase spectrum for strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4):465-482.
[8]Katsukura K,Izumi M.A foundamental study on the phase properties of seismic waves[J].Journal of Structural and Construction Engineering,Transactions of AIJ 1983,327:20-27.
[9]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132-1143.
[10]Sato T,Murono Y,Nishimura A.Phase spectrum modeling to simulate design earthquake motion[J].Journal of Natural Disaster Science,2002,24(2):91-100.
[11]赵凤新,胡聿贤.地震动反应谱与相位差谱的关系[J].地震学报,1996,18(3):287-291.ZHAO Fengxin,Hu Yuxian,The relationship of earthquake ground motion's response spectrum and phase differences spectrum[J].Acta Seismolog-ica Sinica,1996,18(3):287-291.(in Chinese)
[12]Murono Y,Evaluation of response spectrum considering the stochastic characteristics of the phase spectrum of earthquake motion[J].QuarterlyReport of RTRI.2008,49(2):85-88.
[2]Ohsaki Y.On the significance of phase content in earthquake ground motions[J].Earthquake Engineering and Structural Dynamics,1979,7:427-439.
[3]Nigam N C.Phase properties of a class of random process[J].Earthquake Engineering and Structural Dynamics,1982,10:711-717.
[4]金星,廖振鹏.地震动强度包线函数与相位差谱频数分布函数的关系[J].地震工程与工程振动,1990,10(4):20-26.JIN Xing,LIAO Zhenpeng.Relation between envelop function of strong ground motions and frequemy number distribution function of phase differ-ence spectrum[J].Journal of Earthquake Engineering and Engineering Vibration,1990,10(4):20-26.(in Chinese)
[5]赵凤新,胡聿贤.地震动非平稳性与幅值谱和相位差谱的关系[J].地震工程与工程振动,1994,14(2):1-6.ZHAO Fengxin,HU Yuxian.On the relationsip of earthquake ground motion's non-statinary with its amplitude speetrum and phase differences spec-trum[J].Journal of Earthquake Engineering and Engineering Vibration,1994,14(2):1-6.(in Chinese)
[6]程炜,刘光栋,易伟建.地震动相位谱与相位差谱分布特征的研究[J].湖南大学学报:自然科学版,1999,26(2):82-91.CHENG Wei,LIU Guangdong,YI Weijian.Study of properties of phase spectrum and phase differeme spectrum of strong ground motions[J].Jour-nal of Hunan University(Natural sciences Edition),1999,26(2):82-91.(in Chinese)
[7]Shrikhande M,Gupta V K.On the characterization of the phase spectrum for strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4):465-482.
[8]Katsukura K,Izumi M.A foundamental study on the phase properties of seismic waves[J].Journal of Structural and Construction Engineering,Transactions of AIJ 1983,327:20-27.
[9]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132-1143.
[10]Sato T,Murono Y,Nishimura A.Phase spectrum modeling to simulate design earthquake motion[J].Journal of Natural Disaster Science,2002,24(2):91-100.
[11]赵凤新,胡聿贤.地震动反应谱与相位差谱的关系[J].地震学报,1996,18(3):287-291.ZHAO Fengxin,Hu Yuxian,The relationship of earthquake ground motion's response spectrum and phase differences spectrum[J].Acta Seismolog-ica Sinica,1996,18(3):287-291.(in Chinese)
[12]Murono Y,Evaluation of response spectrum considering the stochastic characteristics of the phase spectrum of earthquake motion[J].QuarterlyReport of RTRI.2008,49(2):85-88.
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