拟合水工设计反应谱的人工地震波的生成与Huang变换校正
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摘要
根据非平稳输入下建立的功率谱与均值反应谱之间的关系,合成基于水工设计反应谱的人工地震波,并对其幅值进行修正,降低了高频区误差作用。为了解决加速度时程积分后的速度、位移时程的零线漂移现象,利用Huang变换得到加速度时程的固有模态函数,这种最低频率固有模态函数分量通常情况下代表原始信号的趋势或均值;再对去掉均值后的加速度时程进行积分,得到的速度、位移时程不存在零线漂移问题。
A method that can simulate earhtquake wave based on the hydraulic design response spectrum and the relationship of power spectrum and mean response spectrum in the non-stationary input is presented.It can be used to modify the initial wave and reduce the error of high frequency.In order to solve the shift of velocity and displacement obtained by integraling acceleration,the Huang transform is used to obtain the intrinsic mode functions of acceleration.The lowest frequency intrinsic mode function is generally the mean value or trend of singals.The velocity and displacement obtainde by Integraling the acceleration which is deducted trend don't have the shift problem.
A method that can simulate earhtquake wave based on the hydraulic design response spectrum and the relationship of power spectrum and mean response spectrum in the non-stationary input is presented.It can be used to modify the initial wave and reduce the error of high frequency.In order to solve the shift of velocity and displacement obtained by integraling acceleration,the Huang transform is used to obtain the intrinsic mode functions of acceleration.The lowest frequency intrinsic mode function is generally the mean value or trend of singals.The velocity and displacement obtainde by Integraling the acceleration which is deducted trend don't have the shift problem.
引文
[1]Kaul M K.Stochastic Characterization of Earthquakes ThroughTheir Response Spectrum[J].Earthquake Engineering&Struc-tural Dynamics,1978,6(5):497-509.
[2]江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4(3):1-11.
[3]范留明,黄润秋.光滑强度包络线模型及其工程应用[J].工程地质学报,2000,8(3):369-373.
[4]Clough R W,Penzien J.Dynamic of Structures[M].New York:McGraw-Hill Inc.,1975.
[5]Huang N E,Shen Z,Long S R,et al.The empirucal mode de-composition and the Hilbert spectrum for nonlinear and non-sta-tion time series analysis[J].Proc.R.Soc,1998,A454:903-995.
[6]Scanlan R H,Sachs K.Earthquake Time History and ResponseSpectra[J].J.of Eng.Mech.Dw.,ASCE,1974,100(4).
[7]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,6(2):37-51.
[8]牛志国,李同春,崔绍峰,等.基于水工标准反应谱的人工地震动合成及其校正[J].三峡大学学报(自然科学版),2006,28(6):513-517.
[9]董娣,桑向国,刘锐,等.震源机制对近场地震动反应谱的影响[J].西北地震学报,2008,30(1):6-10.
[10]刘鲁波,陈晓非,王彦宾.切比雪夫伪谱法模拟地震波场[J].西北地震学报,2007,29(1):18-25.
[11]石春香,罗奇峰,郭忠印.Huang变换在地震波信号纠偏中的应用[J].同济大学学报(自然科学版),2005,33(7):895-899.
[12]董娣,刘锐,桑向国.随机方法模拟地震动的应用研究[J].西北地震学报,2006,28(4):298-302.
[13]李英,张淑贞,许康生.小波降噪方法在地震信号处理中的应用[J].西北地震学报,2006,28(2):159-162.
[2]江近仁,洪峰.功率谱与反应谱的转换和人造地震波[J].地震工程与工程振动,1984,4(3):1-11.
[3]范留明,黄润秋.光滑强度包络线模型及其工程应用[J].工程地质学报,2000,8(3):369-373.
[4]Clough R W,Penzien J.Dynamic of Structures[M].New York:McGraw-Hill Inc.,1975.
[5]Huang N E,Shen Z,Long S R,et al.The empirucal mode de-composition and the Hilbert spectrum for nonlinear and non-sta-tion time series analysis[J].Proc.R.Soc,1998,A454:903-995.
[6]Scanlan R H,Sachs K.Earthquake Time History and ResponseSpectra[J].J.of Eng.Mech.Dw.,ASCE,1974,100(4).
[7]胡聿贤,何训.考虑相位谱的人造地震动反应谱拟合[J].地震工程与工程振动,1986,6(2):37-51.
[8]牛志国,李同春,崔绍峰,等.基于水工标准反应谱的人工地震动合成及其校正[J].三峡大学学报(自然科学版),2006,28(6):513-517.
[9]董娣,桑向国,刘锐,等.震源机制对近场地震动反应谱的影响[J].西北地震学报,2008,30(1):6-10.
[10]刘鲁波,陈晓非,王彦宾.切比雪夫伪谱法模拟地震波场[J].西北地震学报,2007,29(1):18-25.
[11]石春香,罗奇峰,郭忠印.Huang变换在地震波信号纠偏中的应用[J].同济大学学报(自然科学版),2005,33(7):895-899.
[12]董娣,刘锐,桑向国.随机方法模拟地震动的应用研究[J].西北地震学报,2006,28(4):298-302.
[13]李英,张淑贞,许康生.小波降噪方法在地震信号处理中的应用[J].西北地震学报,2006,28(2):159-162.
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