多阻尼比设计反应谱的非平稳地震动场拟合
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摘要
采用频域调整方法生成与设计反应谱相吻合的地震动,并利用解析迭代方法计算地震动的反应谱,提出了迭代计算的收敛准则。在相关地震动场模拟方法中,将相位差谱的统计模型引入空间相关非平稳地震动场的模拟方法之中,利用快速傅里叶变换技术生成地震动场。将设计反应谱的地震动拟合与非平稳地震动场的合成结合在一起,解决了多阻尼比设计反应谱的非平稳地震动场拟合问题。
The earthquake motion history compatible with design spectra was generated by the spectral matching technique in frequency domain while the spectrum of the motion history was computed by using the analytical iteration method.The convergence criterion of the iterative process was presented here.The empirical model of phase difference spectrum was introduced firstly into the simulation of spatial correlated and non-stationary ground motions.The simulated ground motions were expressed with the power spectra,coherence function and random phase angles generated according to the empirical model of phase difference spectrum,and were generated using discrete Fourier transformation.Combining the design spectral matching technique and the simulation method of seismic fields,the multi-damping-ratio design spectra were compatible with correlated and non-stationary seismic fields.
The earthquake motion history compatible with design spectra was generated by the spectral matching technique in frequency domain while the spectrum of the motion history was computed by using the analytical iteration method.The convergence criterion of the iterative process was presented here.The empirical model of phase difference spectrum was introduced firstly into the simulation of spatial correlated and non-stationary ground motions.The simulated ground motions were expressed with the power spectra,coherence function and random phase angles generated according to the empirical model of phase difference spectrum,and were generated using discrete Fourier transformation.Combining the design spectral matching technique and the simulation method of seismic fields,the multi-damping-ratio design spectra were compatible with correlated and non-stationary seismic fields.
引文
[1]韦征,叶继红,包伟,等.考虑幅值谱与相位谱的人造地震动模拟与反应谱拟合[J].工程抗震与加固改造, 2007,29(2):100-106.
[2]赵凤新,张郁山.拟合峰值位移与目标反应谱的人造地震动[J].核动力工程,2007,28(2):38-41.
[3]Lilhanand K,Tseng W S.Generation of synthetic time histories compatible with multiple-damping response spectra[J]. SmiRT-9,1987,K1:105 - 110.
[4]赵凤新,张郁山.多阻尼比反应谱拟合的时域叠加法[J].核动力工程,2008,29(3):35-40.
[5]Kaul M K.Spectrum-consistent time history generation[J]. J.of Engineering Mechanics,1978,104(EM4):781 -788.
[6]汪梦甫,尹华伟,周锡元.从反应谱求功率谱的精确方法及其应用[J].地震工程与工程振动,2004,24(2): 53-58.
[7]Deodatis G.Non-stationary stochastic vector processes:seis- mic ground motion applications[J].Probabilistic Engng Mech.,1996,11:149- 168.
[8]Heredia-Zavoni,E.and Santa-Cruz,S..Conditional Simulation of a class of non-stationary space-time random fields[J]. J.Engng.Mech.,2000,126(4):398 - 404.
[9]屈铁军,王前信.空间相关的多点地震动合成(Ⅰ)基本公式[J].地震工程与工程振动,1998,18(1):8-15.
[10]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): 10-14.
[11]Ohsaki Y.On the Significance of Phase Content in Earthquake Ground Motions[J].Earthquake Engineering and Structural Dynamics,1979,7:427 - 439.
[12]Boore D M.Phase Derivatives and Simulation of Strong Ground Motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132 - 1143.
[13]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.
[14]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.
[15]杨庆山,姜海鹏.基于相位差谱的时-频非平稳人造地震动的反应谱拟合.地震工程与工程振动,2002,22(1): 32-38.
[16]安自辉,李杰.强震地面运动的频域物理模型研究[J].同济大学学报,自然科学版,2008,36(7):869- 873,879.
[17]Thrainsson H,Kiremidjian A S.Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform [J].Earthquake Engng Struct.Dyn,2002,31:2023 - 2048.
[18]Harichandran R S,Vanmarke E H.Stochastic variation of earthquake ground motion in space and time[J].J.of Engineering Mechanics,1986,112(2):108 - 129.
[2]赵凤新,张郁山.拟合峰值位移与目标反应谱的人造地震动[J].核动力工程,2007,28(2):38-41.
[3]Lilhanand K,Tseng W S.Generation of synthetic time histories compatible with multiple-damping response spectra[J]. SmiRT-9,1987,K1:105 - 110.
[4]赵凤新,张郁山.多阻尼比反应谱拟合的时域叠加法[J].核动力工程,2008,29(3):35-40.
[5]Kaul M K.Spectrum-consistent time history generation[J]. J.of Engineering Mechanics,1978,104(EM4):781 -788.
[6]汪梦甫,尹华伟,周锡元.从反应谱求功率谱的精确方法及其应用[J].地震工程与工程振动,2004,24(2): 53-58.
[7]Deodatis G.Non-stationary stochastic vector processes:seis- mic ground motion applications[J].Probabilistic Engng Mech.,1996,11:149- 168.
[8]Heredia-Zavoni,E.and Santa-Cruz,S..Conditional Simulation of a class of non-stationary space-time random fields[J]. J.Engng.Mech.,2000,126(4):398 - 404.
[9]屈铁军,王前信.空间相关的多点地震动合成(Ⅰ)基本公式[J].地震工程与工程振动,1998,18(1):8-15.
[10]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): 10-14.
[11]Ohsaki Y.On the Significance of Phase Content in Earthquake Ground Motions[J].Earthquake Engineering and Structural Dynamics,1979,7:427 - 439.
[12]Boore D M.Phase Derivatives and Simulation of Strong Ground Motions[J].Bulletin of the Seismological Society of America,2003,93(3):1132 - 1143.
[13]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.
[14]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.
[15]杨庆山,姜海鹏.基于相位差谱的时-频非平稳人造地震动的反应谱拟合.地震工程与工程振动,2002,22(1): 32-38.
[16]安自辉,李杰.强震地面运动的频域物理模型研究[J].同济大学学报,自然科学版,2008,36(7):869- 873,879.
[17]Thrainsson H,Kiremidjian A S.Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform [J].Earthquake Engng Struct.Dyn,2002,31:2023 - 2048.
[18]Harichandran R S,Vanmarke E H.Stochastic variation of earthquake ground motion in space and time[J].J.of Engineering Mechanics,1986,112(2):108 - 129.
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