人造地震动反应谱的非线性拟合
|
摘要
为了进一步提高人造地震动时程对目标反应谱的拟合精度和效率,本文提出了一种人造地震动反应谱非线性拟合方法。在人造地震动反应谱非线性拟合过程中,认为Fourier幅值谱与反应谱调整项之间满足非线性(幂指数)关系。通过比例拉伸和折叠等数值技巧以促使模拟加速度向目标加速度逼近。算例分析结果表明,人造地震动反应谱非线性拟合方法具有一定的精度和效率,不失为地震波人工模拟的一种尝试。
In order to improve the fitting accuracy and efficiency of artificial ground motion time histories to the target response spectrum,a new nonlinear fitness of artificial ground motion response spectrum is proposed.During the fitting,a nonlinear(exponential) relationship between the Fourier transform and the response spectrum adjustments is adopted,and the techniques of partial scaling and fractional folding are used to make simulating acceleration approach to target acceleration.Numerical example demonstrates that the new nonlinear fitness method shows some precision and efficiency,it is a useful attempt to use the new method in artificial-simulated seismic ground motions.
In order to improve the fitting accuracy and efficiency of artificial ground motion time histories to the target response spectrum,a new nonlinear fitness of artificial ground motion response spectrum is proposed.During the fitting,a nonlinear(exponential) relationship between the Fourier transform and the response spectrum adjustments is adopted,and the techniques of partial scaling and fractional folding are used to make simulating acceleration approach to target acceleration.Numerical example demonstrates that the new nonlinear fitness method shows some precision and efficiency,it is a useful attempt to use the new method in artificial-simulated seismic ground motions.
引文
[1]Scanlan R H,Sachs K.Earthquake time histories and response spectra[J].Journal of Engineering Mechanics(ASME),1974,(4):635-655.
[2]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):3-13.JIANG Jinren,HONG Feng.Conversion between power spectrum and response spectrum and artificial earthquakes[J].Journal of Earthquake En-gineering and Engineering Vibration.1984,4(3):3-13.(in Chinese)
[3]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 response spectrum-compatible ground motion[J].Journal of Earthquake Engineer-ing and Engineering Vibration,1986,6(2):37-51.(in Chinese)
[4]翟希梅,吴知丰.人工地震波反应谱拟合技术的改进[J].哈尔滨工业大学学报,1995(6):130-133.ZHAI Ximei,WU Zhifeng.Improvement in the fitting technology of response spectra for simulated earthquake wave[J].Journal of Harbin instituteof Technology,1995(6):130-133.(in Chinese)
[5]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 approximatingto response spectrum as a whole[J〗.ACTA Seism Sinica,1997,19(1):71-78.(in Chinese)
[6]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 Resourses and HydropowerEngineering,2000,31(7):13-16.(in Chinese)
[7]陈纬.地震加速度反应谱拟合的直接法研究[J].工程力学,2000(1):83-87.CHEN Wei.Direct method of simulating response spectrum of earthquake acceleration[J].Engineering Mechanics,2000(1):83-87.(in Chi-nese)
[8]李建华,李杰.考虑反应谱变异特性的人工合成地震波[J].同济大学学报,2002(9):1038-1043.LI Jianhua,LI Jie.Simulation of ground motions considering variability of response spectra[J].Journal of Tongji University,2002(9):1038-1043.(in Chinese)
[9]杨庆山,姜海鹏.基于相位差谱的时频非平稳人造地震波的反应谱拟合[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].Jounal ofEarthquake Engineering and Engineering Vibration,2002,22(1):32-38.(in Chinese)
[10]赵凤新,张郁山.人造地震动反应谱拟合的窄带时程叠加法[J].工程力学,2007,24(4):87-91.ZHAO Fengxin,ZHANG Yushan.Simulation of ground motions considering variability of response spectra[J].Engineering Mechanics,2007,24(4):87-91.(in Chinese)
[11]Kaul M K.Stochastic characterization of earthquake though their response spectrum[J].International Journal of Earthquake Engineering andStructure Dynamics,1978(5):497-510.
[12]European Committee for Standardization.Eurocode8:Design of Structure for Earthquake Resistance[S].2003.
[2]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):3-13.JIANG Jinren,HONG Feng.Conversion between power spectrum and response spectrum and artificial earthquakes[J].Journal of Earthquake En-gineering and Engineering Vibration.1984,4(3):3-13.(in Chinese)
[3]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 response spectrum-compatible ground motion[J].Journal of Earthquake Engineer-ing and Engineering Vibration,1986,6(2):37-51.(in Chinese)
[4]翟希梅,吴知丰.人工地震波反应谱拟合技术的改进[J].哈尔滨工业大学学报,1995(6):130-133.ZHAI Ximei,WU Zhifeng.Improvement in the fitting technology of response spectra for simulated earthquake wave[J].Journal of Harbin instituteof Technology,1995(6):130-133.(in Chinese)
[5]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 approximatingto response spectrum as a whole[J〗.ACTA Seism Sinica,1997,19(1):71-78.(in Chinese)
[6]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 Resourses and HydropowerEngineering,2000,31(7):13-16.(in Chinese)
[7]陈纬.地震加速度反应谱拟合的直接法研究[J].工程力学,2000(1):83-87.CHEN Wei.Direct method of simulating response spectrum of earthquake acceleration[J].Engineering Mechanics,2000(1):83-87.(in Chi-nese)
[8]李建华,李杰.考虑反应谱变异特性的人工合成地震波[J].同济大学学报,2002(9):1038-1043.LI Jianhua,LI Jie.Simulation of ground motions considering variability of response spectra[J].Journal of Tongji University,2002(9):1038-1043.(in Chinese)
[9]杨庆山,姜海鹏.基于相位差谱的时频非平稳人造地震波的反应谱拟合[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].Jounal ofEarthquake Engineering and Engineering Vibration,2002,22(1):32-38.(in Chinese)
[10]赵凤新,张郁山.人造地震动反应谱拟合的窄带时程叠加法[J].工程力学,2007,24(4):87-91.ZHAO Fengxin,ZHANG Yushan.Simulation of ground motions considering variability of response spectra[J].Engineering Mechanics,2007,24(4):87-91.(in Chinese)
[11]Kaul M K.Stochastic characterization of earthquake though their response spectrum[J].International Journal of Earthquake Engineering andStructure Dynamics,1978(5):497-510.
[12]European Committee for Standardization.Eurocode8:Design of Structure for Earthquake Resistance[S].2003.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心