完全非平稳多点人工波的模拟方法
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摘要
在考虑地震动空间变化效应的基础上,提出了模拟完全非平稳多点人工波的思路,并用MATLAB编写了相应的程序。针对Clough-Penzien功率谱密度函数,建议了模拟多点地震动的峰值因子的取值。该方法不仅全面考虑了地震动的空间变化效应,即行波效应、部分相干效应和局部场地效应,而且在考虑地震动强度非平稳特性的同时,还考虑了频率非平稳特性。强度非平稳特性通过传统的包络函数来考虑,频率非平稳特性通过相位差谱来体现。用周期-频度谱验证了人工波的频率非平稳特性,并用不规则指数分析了地震波的不规则程度。分析表明:生成的人工波具有明显的强度和频率非平稳特性,而且能较好的反映硬土场地和中硬土场地上地震动随距离的衰减特性。
Simulation method of completely non-stationary artificial wave is proposed on the basis of considering its spatial variability,and realized by programming with MATLAB procedure.Aiming at the power spectral density function of Clough-Penzien model,value of peak ratio of ground motion in simulation is suggested.Not only the overall spatial variability of wave passage effect,loss of coherency and the role of local site condition are considered,but also the non-stationary of both amplitude and frequency is taken into consideration. Non-stationarity of amplitude is expressed by the traditional envelope function,and frequency non-stationarity is incarnated by phase difference spectrum.The frequency non-stationarity of artificial wave is verified by spectra of periodfrequency,and level of irregularity is analyzed by irregularity index.The results indicate that: the non-stationarity of phase and frequency is obviously reflected in the generated artificial waves,and so is the attenuation of wave amplitude in firm site and middle firm site.
Simulation method of completely non-stationary artificial wave is proposed on the basis of considering its spatial variability,and realized by programming with MATLAB procedure.Aiming at the power spectral density function of Clough-Penzien model,value of peak ratio of ground motion in simulation is suggested.Not only the overall spatial variability of wave passage effect,loss of coherency and the role of local site condition are considered,but also the non-stationary of both amplitude and frequency is taken into consideration. Non-stationarity of amplitude is expressed by the traditional envelope function,and frequency non-stationarity is incarnated by phase difference spectrum.The frequency non-stationarity of artificial wave is verified by spectra of periodfrequency,and level of irregularity is analyzed by irregularity index.The results indicate that: the non-stationarity of phase and frequency is obviously reflected in the generated artificial waves,and so is the attenuation of wave amplitude in firm site and middle firm site.
引文
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[10]白国良.空腹式型钢砼(SRC)框架结构随机地震反应分析[J].西安建筑科技大学学报,1999,31(2):103~107Bai Guo-liang.Analysis on elastoplastic random seismicresponse of lattice type SRC frame[J].Journal of Xi anUniversity of Architecture and Technology,1999,31(2):103~107(in Chinese)
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[12]赵凤新,胡聿贤,李小军.地震动相位差谱的统计规律[J].自然灾害学报,1995,4(增刊):49~56Zhao Feng-xin,Hu Yu-xian,Li Xiao-jun.An empirical lawfor phase difference spectrum of earthquake ground motion[J].Journal of Natural Disasters,1995,4(supplement):49~56(in Chinese)
[13]杨庆山,姜海鹏,陈英俊.基于相位差谱的时-频非平稳人造地震动的生成[J].地震工程与工程振动,2001,21(3):10~16Yang Qing-shan,Jiang Hai-peng,Chen Ying-jun.Earthquake Engineering and Engineering Vibration,2001,21(3):10~16(in Chinese)
[2]Kiureghian A D,Neuenhofer A.Response spectrum methodfor multi-support seismic excitations[J].EarthquakeEngineering and Structural Dynamics,1992,21:713~740
[3]刘春城.混凝土自锚式悬索桥三维地震反应研究[D].大连:大连理工大学博士学位论文,2003Liu Chun-cheng.Three dimensional seismic responses studyof concrete self-anchored suspension bridges[D].Dalian:Dalian University,2003(in Chinese)
[4]史志利.大跨度桥梁多点激励地震反应分析与MR组尼器控制[D].天津:天津大学博士学位论文,2003Shi Zhi-li.Seismic response analysis and MR dampercontrol for long-span bridges under multi-support excitations[D].Tianjin:Tianjin University,2003(in Chinese)
[5]全伟.大跨桥梁多维多点地震反应分析研究[D].大连:大连理工大学,2008Quan Wei.Studies on seismic analysis of large-span bridgessubjected to multi-component and multi-support earthquakeexcitations[D].Dalian:Dalian University,2008(inChinese)
[6]董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究[J].地震工程与工程振动,2007,27(3):10~14Dong Ru-bo,Zhou Jing,Feng Xin.Simulation of non-stationary spatial correlative time histories of multi-pointground motion[J].Journal of Earthquake Engineering andEngineering Vibration,2007,27(3):10~14(in Chinese)
[7]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):287~291Zhao Feng-xin,Hu Yu-xian.Relationship between responsespectrum and phase differences spectrum of ground motion[J].ACTA SEISMOLOGICA SINICA,1996,18(3):287~291(in Chinese)
[8]Kaul MK.Stochastic Characterization of EarthquakesThrough Their Response Spectrum[J].EESD,1978,6(5):497~509
[9]倪永军,朱.考虑时间-空间变化的人工随机场模拟[J].地震学报,2002,24(4):407~412Ni Yong-jun,Zhu Xi.Simulation of artificial random fieldconsidering the temporal-spatial variation[J].ACTASEISMOLOGICA SINICA,2002,24(4):407~412(inChinese)
[10]白国良.空腹式型钢砼(SRC)框架结构随机地震反应分析[J].西安建筑科技大学学报,1999,31(2):103~107Bai Guo-liang.Analysis on elastoplastic random seismicresponse of lattice type SRC frame[J].Journal of Xi anUniversity of Architecture and Technology,1999,31(2):103~107(in Chinese)
[11]Ohsaki Y.On the Significance of Phase Content inEarthquake Ground Motions[J].EESD,1979,7(5):427~439
[12]赵凤新,胡聿贤,李小军.地震动相位差谱的统计规律[J].自然灾害学报,1995,4(增刊):49~56Zhao Feng-xin,Hu Yu-xian,Li Xiao-jun.An empirical lawfor phase difference spectrum of earthquake ground motion[J].Journal of Natural Disasters,1995,4(supplement):49~56(in Chinese)
[13]杨庆山,姜海鹏,陈英俊.基于相位差谱的时-频非平稳人造地震动的生成[J].地震工程与工程振动,2001,21(3):10~16Yang Qing-shan,Jiang Hai-peng,Chen Ying-jun.Earthquake Engineering and Engineering Vibration,2001,21(3):10~16(in Chinese)
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