人造地震动反应谱拟合的窄带时程叠加法
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摘要
提出了一种在时域内叠加窄带时程的方法以提高人造地震动时程对目标反应谱的拟合精度。该方法首先利用传统的在频域内调整傅立叶幅值谱的方法合成以给定峰值加速度、反应谱和强度包线为目标的初始加速度时程;然后基于线性单自由度体系的地震输入反演公式,利用在时域内叠加窄带时程的方法继续调整该初始时程以进一步提高其对目标反应谱的拟合精度。算例分析结果表明,该算法所得到的人造地震动时程对目标谱具有较高的拟合精度。
A new method which improves the fitting accuracy of artificial time history of ground motion to the target response spectrum by superimposing narrowband time histories in the time domain is proposed. Firstly, the method utilizes the traditional one, which modifies the Fourier amplitude spectrum in the frequency domain, to generate an initial time history of acceleration compatible with the specified peak ground acceleration, the target response spectrum and the prescribed intensity envelope. And then based on the inversion formula of the seismic input to linear single-degree-of-freedom system, the method further adjusts the initial time history to improve its fitting precision to the target spectrum by superimposing narrowband time histories in the time domain. Numerical examples demonstrate that the artificial ground shaking time histories obtained by the proposed algorithm boast high fitting precisions to the target spectrum.
A new method which improves the fitting accuracy of artificial time history of ground motion to the target response spectrum by superimposing narrowband time histories in the time domain is proposed. Firstly, the method utilizes the traditional one, which modifies the Fourier amplitude spectrum in the frequency domain, to generate an initial time history of acceleration compatible with the specified peak ground acceleration, the target response spectrum and the prescribed intensity envelope. And then based on the inversion formula of the seismic input to linear single-degree-of-freedom system, the method further adjusts the initial time history to improve its fitting precision to the target spectrum by superimposing narrowband time histories in the time domain. Numerical examples demonstrate that the artificial ground shaking time histories obtained by the proposed algorithm boast high fitting precisions to the target spectrum.
引文
[1]Tsai N C.Spectrum-compatible motions for design purposes[J].J.Eng Mech Div,ASCE,1972,98(2):345~356.
[2]Rizzo P C,Shaw D E,Jarecki S J.Development of real/synthetic time histories to match smooth design spectra[C].Proc2nd Int Conf Structural Mechanics in Reactor Technology,American Nuclear Society,1973.
[3]Scanlan R,Sachs H K.Earthquake time histories and response spectra[J].J.Eng Mech Div,ASCE,1974,100(4):635~655.
[4]Hirasawa M,Watabe M.Generation of simulated earthquake motions compatible with multi-damping response spectra[C].Proc10th World Conf Earthq Eng,Madrid,1992.
[5]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.Jang Jinren,Hong Feng.Conversion between power spectrum and response spectrum and response spectrum and artificial earthquakes[J].Earthquake Engineering and Engineering Vibration,1984,4(3):1~11.(in Chinese)
[6]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.Hu Yuxian,He Xun.Phase angle consideration in generating spectrum-compatible ground motion[J].Earthquake Engineering and Engineering Vibration,1986,6(2):37~51.(in Chinese)
[7]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.Liu Pengcheng,Lin Gao,Jin Chunshan.A new method for generating ground motions with considering the earthquake environment[J].Earthquake Engineering and Engineering Vibration,1992,12(4):9~15.(in Chinese)
[8]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.Cai Changqing,Shen Jianwen.Generating ground motion by two new techniques of adding harmonic wave in the time domain and approximating to response spectrum as a whole[J].ACTA Seism Sinica,1997,19(1):71~78.(in Chinese)
[9]张伯艳,陈厚群,胡晓.合成人造地震动的非线性解法[J].水利水电技术,2000,31(7):13~16.Zhang Boyan,Chen Houqun,Hu Xiao.Generation of artificial earthquake wave by non-linear solver[J].Water Resource and Hydropower Engineering,2000,31(7):13~16.(in Chinese)
[10]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.Cheng Wei.Direct method of simulating response spectrum of earthquake acceleration[J].Engineering Mechanics,2000,17(1):83~87.(in Chinese)
[11]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.Yang Qingshan,Jiang Haipeng.Generation of response-spectrum-compatible ground motions based on phase-difference spectrum[J].Earthquake Engineering and Engineering Vibration,2002,22(1):32~38.(in Chinese)
[12]Kau M K.Stochastic characterization of earthquakes through their response spectrum[J].Earthq Eng and Struct Dyn,1978,6(5):497~509.
[2]Rizzo P C,Shaw D E,Jarecki S J.Development of real/synthetic time histories to match smooth design spectra[C].Proc2nd Int Conf Structural Mechanics in Reactor Technology,American Nuclear Society,1973.
[3]Scanlan R,Sachs H K.Earthquake time histories and response spectra[J].J.Eng Mech Div,ASCE,1974,100(4):635~655.
[4]Hirasawa M,Watabe M.Generation of simulated earthquake motions compatible with multi-damping response spectra[C].Proc10th World Conf Earthq Eng,Madrid,1992.
[5]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.Jang Jinren,Hong Feng.Conversion between power spectrum and response spectrum and response spectrum and artificial earthquakes[J].Earthquake Engineering and Engineering Vibration,1984,4(3):1~11.(in Chinese)
[6]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.Hu Yuxian,He Xun.Phase angle consideration in generating spectrum-compatible ground motion[J].Earthquake Engineering and Engineering Vibration,1986,6(2):37~51.(in Chinese)
[7]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.Liu Pengcheng,Lin Gao,Jin Chunshan.A new method for generating ground motions with considering the earthquake environment[J].Earthquake Engineering and Engineering Vibration,1992,12(4):9~15.(in Chinese)
[8]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.Cai Changqing,Shen Jianwen.Generating ground motion by two new techniques of adding harmonic wave in the time domain and approximating to response spectrum as a whole[J].ACTA Seism Sinica,1997,19(1):71~78.(in Chinese)
[9]张伯艳,陈厚群,胡晓.合成人造地震动的非线性解法[J].水利水电技术,2000,31(7):13~16.Zhang Boyan,Chen Houqun,Hu Xiao.Generation of artificial earthquake wave by non-linear solver[J].Water Resource and Hydropower Engineering,2000,31(7):13~16.(in Chinese)
[10]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.Cheng Wei.Direct method of simulating response spectrum of earthquake acceleration[J].Engineering Mechanics,2000,17(1):83~87.(in Chinese)
[11]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.Yang Qingshan,Jiang Haipeng.Generation of response-spectrum-compatible ground motions based on phase-difference spectrum[J].Earthquake Engineering and Engineering Vibration,2002,22(1):32~38.(in Chinese)
[12]Kau M K.Stochastic characterization of earthquakes through their response spectrum[J].Earthq Eng and Struct Dyn,1978,6(5):497~509.
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