拟合峰值位移与目标反应谱的人造地震动
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摘要
提出了一种以绝对加速度反应谱和峰值位移为目标合成人造地震动时程的方法。该方法首先利用传统的频域内调整傅立叶幅值谱的方法生成以给定峰值加速度APG、反应谱ST(ω,ζ)和强度包线为目标的初始加速度时程a(t);然后利用在时域内叠加窄带时程的方法来进一步调整a(t)以使其峰值位移DPG逼近目标峰值位移DPTG,并且提高对目标反应谱的拟合精度。算例分析结果表明,该算法所得结果具有非常高的拟合精度。
This paper proposed an artificial ground motion simulating method,which may be used to generate the artificial seismic ground shaking time history that satisfies both the target absolute acceleration response spectrum and the target peak ground displacement.Firstly,the method utilizes the traditional method,which modifies the Fourier amplitude spectrum in the frequency domain,to generate the initial acceleration time history,a(t),with the given peak ground acceleration(APG),response spectrum ST(ω,ζ),and intensity envelope being prescribed as targets;and then through superimposing the narrow-band time history in the time domain,the method further modulates a(t) to make its peak displacement approach the target peak ground displacement,i.e.,D PTG,as well as to improve its fitting precision to the target response spectrum.The numerical examples demonstrates that the results obtained by this proposed algorithm possess are with very high fitting precision.
This paper proposed an artificial ground motion simulating method,which may be used to generate the artificial seismic ground shaking time history that satisfies both the target absolute acceleration response spectrum and the target peak ground displacement.Firstly,the method utilizes the traditional method,which modifies the Fourier amplitude spectrum in the frequency domain,to generate the initial acceleration time history,a(t),with the given peak ground acceleration(APG),response spectrum ST(ω,ζ),and intensity envelope being prescribed as targets;and then through superimposing the narrow-band time history in the time domain,the method further modulates a(t) to make its peak displacement approach the target peak ground displacement,i.e.,D PTG,as well as to improve its fitting precision to the target response spectrum.The numerical examples demonstrates that the results obtained by this proposed algorithm possess are with very high fitting precision.
引文
[1]Tsai N C.Spectrum-Compatible Motions for Design Purposes[J.J of Engineering Mechanics Division,ASCE,1972,98(2):345～356.
[2]Hirasawa M,Watabe M.Generation of Simulated Earth-quake Motions Compatible with Multi-Damping Re-sponse Spectra[C].Proc 10th World Conf Earthq Eng,Madrid,1992,2:807～810.
[3]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.
[4]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.
[5]刘鹏程,林皋,金春山.考虑地震环境的人造地震动合成方法[J].地震工程与工程振动,1992,12(4):9～15.
[6]蔡长青,沈建文.人造地震动的时域叠加法和反应谱整体逼近技术[J].地震学报,1997,19(1):71～78.
[7]张伯艳,陈厚群.合成人造地震动的非线性解法[J].水利水电技术,1998,31(7):13～16.
[8]程纬.地震加速度反应谱拟合的直接法研究[J].工程力学,2000,17(1):83～87.
[9]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[J].地震工程与工程振动,2002,22(1):32～38.
[10]胡聿贤.地震工程学[M].北京:地震出版社,1988.211～215.
[2]Hirasawa M,Watabe M.Generation of Simulated Earth-quake Motions Compatible with Multi-Damping Re-sponse Spectra[C].Proc 10th World Conf Earthq Eng,Madrid,1992,2:807～810.
[3]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.
[4]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.
[5]刘鹏程,林皋,金春山.考虑地震环境的人造地震动合成方法[J].地震工程与工程振动,1992,12(4):9～15.
[6]蔡长青,沈建文.人造地震动的时域叠加法和反应谱整体逼近技术[J].地震学报,1997,19(1):71～78.
[7]张伯艳,陈厚群.合成人造地震动的非线性解法[J].水利水电技术,1998,31(7):13～16.
[8]程纬.地震加速度反应谱拟合的直接法研究[J].工程力学,2000,17(1):83～87.
[9]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[J].地震工程与工程振动,2002,22(1):32～38.
[10]胡聿贤.地震工程学[M].北京:地震出版社,1988.211～215.
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