基于渐进谱的幅值和频率非平稳人造地震动拟合
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摘要
在Priestley渐进谱和常用反应谱拟合技术基础上,提出一种拟合目标渐进谱生成幅值和频率非平稳地震动加速度时程的方法。由Nakayama方法获得目标渐进谱,定义[0,2π]的随机数作为初始相位。在迭代过程中考虑渐进谱和相位的影响,同时调整合成时程的渐进谱和相位,直到满足迭代的收敛要求。本文方法合成时程不仅保留目标渐进谱的时频非平稳特性,相位也具有与实际地震动相符合的时频非平稳性。时程的相关分析表明,输入不同初相位合成的时程在统计上互不相关。
On the basis of Priestley's evolutionary power spectra and the typical response spectrum compatible technique for design accelerograms,a new iteration method is developed for generation of random earthquake accelerograms non-stationary both in amplitude and frequency which are compatible with target evolutionary spectrum.Evolutionary power spectrum was obtained by Nakayama method and the initial phase angle was defined to distribute randomly between 0 and 2π.During the generation,the interaction between the evolutionary power spectrum and the phase angle has been considered.The evolutionary spectrum and the phase angle of the simulated accelerogram were modified until the convergence requirements were satisfied.Earthquake accelerograms simulated by this method have the same non-stationary characteristics as the design evolutionary spectrum and the phase spectra of these artificial earthquake accelerograms are non-stationary both in time and frequency domains.The correlation analysis shows that these simulated accelerograms have the same target evolutionary spectrum and the different initial phase angles are statistically independent.
On the basis of Priestley's evolutionary power spectra and the typical response spectrum compatible technique for design accelerograms,a new iteration method is developed for generation of random earthquake accelerograms non-stationary both in amplitude and frequency which are compatible with target evolutionary spectrum.Evolutionary power spectrum was obtained by Nakayama method and the initial phase angle was defined to distribute randomly between 0 and 2π.During the generation,the interaction between the evolutionary power spectrum and the phase angle has been considered.The evolutionary spectrum and the phase angle of the simulated accelerogram were modified until the convergence requirements were satisfied.Earthquake accelerograms simulated by this method have the same non-stationary characteristics as the design evolutionary spectrum and the phase spectra of these artificial earthquake accelerograms are non-stationary both in time and frequency domains.The correlation analysis shows that these simulated accelerograms have the same target evolutionary spectrum and the different initial phase angles are statistically independent.
引文
[1]李英民,赖明,白绍良.从结构抗震设计理论看地震动输入[J].工程力学,2002(增刊):549-554.
[2]Conte J P,Peng B F.Fully nonstationary analytical earthquake ground-motion model[J].Journal of Engineering Mechanics,1997,123(1)∶15-24.
[3]Priestley MB.Evolutionary spectra and non-stationary processes[J].Journal of the Royal Statistical Society,Series B Methodological,1965,27(2)∶204-237.
[4]Priestley MB.Power spectral analysis of non-stationary random processes[J].Journal of Sound and Vibration,1967,6(1)∶86-97.
[5]Kameda H.Evolutionary spectra of seismogram by multifilter[J].Journal of the Engineering Mechanics Division,ASCE,1975,101(6)∶787-801.
[6]Kameda H,Goto H,Sugito M,et at.Prediction of nonstationary earthquake motions for given magnitude,distance and specific site condition[C]∥Pro-ceedings of the 2nd US National Conference on Earthquake Engineering,Stanford University,1979:243-252.
[7]梁建文.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,2005,27(2)∶213-228.
[8]梁建文.非平稳地震动过程模拟方法(Ⅱ)[J].地震学报,2005,27(3)∶346-351.
[9]Ohsaki Y.On the significance of phase content in earthquake ground motions[J].Earthquake Engineering and Structural Dynamics,1979,7(5)∶427-439.
[10]Nigam N C.Phase properties of a class of random process[J].Earthquake Engineering and Structural Dynamics,1982,10∶711-717.
[11]Swada T.Application of phase differences to the analysis of nonstationary of earthquake ground motion[C]∥Proceedings of the 8th World Confer-ence on Earthquake Engineering,1984:557-564.
[12]Yokoyama T,Theofanopoulos N,Watabe M.Distribution of phase differences in relation to the earthquake magnitude,distance to the fault and lo-cal soil conditions[C]∥Proceedings of the 9th World Conference on Earthquake Engineering,1988,2∶819-818.
[13]Naraoka K,Watanabe T.Generation of nonstationary earthquake ground motions using phase characteristics[C]∥Transactions of the 9th Interna-tional Conference on Structural Mechanics in Reactor Technology,1987,K1∶37-42.
[14]Shrikhande M,Gupta VK.On the characterization of the phase spectrumfor strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4)∶465-482.
[15]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3)∶1132-1143.
[16]金星,廖振鹏.重大工程场地设计地震动与地震动场的研究[D].哈尔滨:国家地震局工程力学研究所,1992.
[17]赵凤新,胡聿贤.时程的相位差特性及设计地震动的合成[D].北京:国家地震局地球物理研究所,1992.
[18]朱继梅.非稳态振动信号分析(第五讲)[J].振动与冲击,2001,20(1)∶88-91.
[19]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3)∶39-43.
[20]吴琛,周瑞忠.Hilbert-Huang变换在提取地震信号动力特性中的应用[J].地震工程与工程振动,2006,26(5)∶41-46.
[21]谢异同,张同亿,吴敏哲.地震动加速度时程的小波模拟[J].地震工程与工程振动,2001,21(2)∶19-23.
[22]Nakayama T,Fujiwara H,Komatsu S,et al.Non-stationary response and reliability of linear systems under seismic loadings[C]∥In:Schueller,Shinozuka&Yao eds.Structural Safety&Reliability.Rotterdam∶Balkema,1994,2 179-2 186.
[23]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.
[24]张翠然,陈厚群.非平稳地震动时程的渐进谱研究[J].水利学报,2007,38(12)∶1475-1481.
[2]Conte J P,Peng B F.Fully nonstationary analytical earthquake ground-motion model[J].Journal of Engineering Mechanics,1997,123(1)∶15-24.
[3]Priestley MB.Evolutionary spectra and non-stationary processes[J].Journal of the Royal Statistical Society,Series B Methodological,1965,27(2)∶204-237.
[4]Priestley MB.Power spectral analysis of non-stationary random processes[J].Journal of Sound and Vibration,1967,6(1)∶86-97.
[5]Kameda H.Evolutionary spectra of seismogram by multifilter[J].Journal of the Engineering Mechanics Division,ASCE,1975,101(6)∶787-801.
[6]Kameda H,Goto H,Sugito M,et at.Prediction of nonstationary earthquake motions for given magnitude,distance and specific site condition[C]∥Pro-ceedings of the 2nd US National Conference on Earthquake Engineering,Stanford University,1979:243-252.
[7]梁建文.非平稳地震动过程模拟方法(Ⅰ)[J].地震学报,2005,27(2)∶213-228.
[8]梁建文.非平稳地震动过程模拟方法(Ⅱ)[J].地震学报,2005,27(3)∶346-351.
[9]Ohsaki Y.On the significance of phase content in earthquake ground motions[J].Earthquake Engineering and Structural Dynamics,1979,7(5)∶427-439.
[10]Nigam N C.Phase properties of a class of random process[J].Earthquake Engineering and Structural Dynamics,1982,10∶711-717.
[11]Swada T.Application of phase differences to the analysis of nonstationary of earthquake ground motion[C]∥Proceedings of the 8th World Confer-ence on Earthquake Engineering,1984:557-564.
[12]Yokoyama T,Theofanopoulos N,Watabe M.Distribution of phase differences in relation to the earthquake magnitude,distance to the fault and lo-cal soil conditions[C]∥Proceedings of the 9th World Conference on Earthquake Engineering,1988,2∶819-818.
[13]Naraoka K,Watanabe T.Generation of nonstationary earthquake ground motions using phase characteristics[C]∥Transactions of the 9th Interna-tional Conference on Structural Mechanics in Reactor Technology,1987,K1∶37-42.
[14]Shrikhande M,Gupta VK.On the characterization of the phase spectrumfor strong motion synthesis[J].Journal of Earthquake Engineering,2001,5(4)∶465-482.
[15]Boore D M.Phase derivatives and simulation of strong ground motions[J].Bulletin of the Seismological Society of America,2003,93(3)∶1132-1143.
[16]金星,廖振鹏.重大工程场地设计地震动与地震动场的研究[D].哈尔滨:国家地震局工程力学研究所,1992.
[17]赵凤新,胡聿贤.时程的相位差特性及设计地震动的合成[D].北京:国家地震局地球物理研究所,1992.
[18]朱继梅.非稳态振动信号分析(第五讲)[J].振动与冲击,2001,20(1)∶88-91.
[19]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3)∶39-43.
[20]吴琛,周瑞忠.Hilbert-Huang变换在提取地震信号动力特性中的应用[J].地震工程与工程振动,2006,26(5)∶41-46.
[21]谢异同,张同亿,吴敏哲.地震动加速度时程的小波模拟[J].地震工程与工程振动,2001,21(2)∶19-23.
[22]Nakayama T,Fujiwara H,Komatsu S,et al.Non-stationary response and reliability of linear systems under seismic loadings[C]∥In:Schueller,Shinozuka&Yao eds.Structural Safety&Reliability.Rotterdam∶Balkema,1994,2 179-2 186.
[23]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.
[24]张翠然,陈厚群.非平稳地震动时程的渐进谱研究[J].水利学报,2007,38(12)∶1475-1481.
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