对已有强震地面运动功率谱模型的改进
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摘要
为使得地震动功率谱模型在低频区域更好的模拟实际地震动的能量分布,同时兼顾模型的简单性和实用性,在已有地震动功率谱模型基础上提出了修正金井清模型和修正胡聿贤-周锡元模型.文中推导了具有这2种功率谱特征的平稳过程作用下单自由度结构的随机响应计算公式;基于单自由度结构随机反应对6种功率谱模型进行了对比.结果表明:修正胡聿贤-周锡元模型构造简单,能合理描述强震地面运动过程的频域能量分布,其对应平稳随机过程作用下结构随机响应也与加速度时程样本对应的结果相符,适于工程应用;修正金井清模型在一定程度上修正了金井清模型的缺陷,可以替代金井清模型.
in order to simulate the energy distribution in low frequency region of the earthquake ground motion better by the models of power spectral density,and taking into account the simplicity and usability at the same time,two types of modified power spectral density(PSD) models are presented in this study: modified Kanai-Tajimi model and modified Hu-Zhou model.The stochastic response of the single degree of freedom structure disturbed by the stationary stochastic process with the frequency characters represented by above two PSD models are deducted;According to the stochastic response of single degree-of-freedom structure subjected to stationary random processes,six kinds of PSD models have been compared. The investigations shows that the modified Hu-Zhou model can reasonably represent the energy distribution of seismic ground motion in frequency domain,the earthquake response of structure excited by modified Hu-Zhou model consistent with the typical real acceleration records.The modified Kanai-Tajimi model make up the low-frequency-default of kanai-Tajimi model to some extent,and then can be used as its replacement.
in order to simulate the energy distribution in low frequency region of the earthquake ground motion better by the models of power spectral density,and taking into account the simplicity and usability at the same time,two types of modified power spectral density(PSD) models are presented in this study: modified Kanai-Tajimi model and modified Hu-Zhou model.The stochastic response of the single degree of freedom structure disturbed by the stationary stochastic process with the frequency characters represented by above two PSD models are deducted;According to the stochastic response of single degree-of-freedom structure subjected to stationary random processes,six kinds of PSD models have been compared. The investigations shows that the modified Hu-Zhou model can reasonably represent the energy distribution of seismic ground motion in frequency domain,the earthquake response of structure excited by modified Hu-Zhou model consistent with the typical real acceleration records.The modified Kanai-Tajimi model make up the low-frequency-default of kanai-Tajimi model to some extent,and then can be used as its replacement.
引文
[1]HOUSNER G W.Characteristics of strong motion of earthquakes[J].Bulletin of the Seismological Society of America,1947,37(1):19-31.
[2]KANAI K.Semi-empirical formula for the sesmic characteristics of the ground motion[C]∥Bulletein of Earthquake ResearchInstitute University of Tokyo.Japan:Earthquke Research Institute Universiy of Tokyo,1957,35(2):309-325.
[3]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:Mc Graw-Hill,1979:404-406.
[4]李春祥,翟文杰.改进的Clough-Penzien地震地面运动模型[J].地震工程与工程振动,2003,23(5):53-56.LI Chun-xiang,ZHAI Wen-jie.Modified clough penzien earthquake ground motion model[J].Earthquake Engineering andEngineering Vibration,2003,23(5):53-56.(in Chinese)
[5]胡聿贤,周锡元.地震力统计理论评价[C]∥中国科学院土木建筑研究所地震工程研究报告集(第一集),北京:科学出版社,1962:21-32.HU Yu-xian,ZHOU Xi-yuan.Theoretical evaluation of statistical on earthquake force[C]∥Selected Papers for EarthquakeEngineering,Institute of Architecture and Civil Engineering,China Academy of Science Volume 1,Beijing:Science Press,1962:21-32.(in Chinese)
[6]杜修力,陈厚群,地震动随机模拟及其参数确定方法[J].地震工程与工程振动,1994,14(4):1-5.DU Xiu-li,CHEN Hou-qun.Random simulation and its parameter determination method of earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(4):1-5.(in Chinese)
[7]杜修力,胡晓,陈厚群.强震地运动随机过程模拟[J].地震学报,1995,17(1):103-109.DU Xiu-li,HU Xiao,CHEN Hou-qun.Random simulation of earthquake ground motion[J].ACTA Seismologica Sinica,1995,17(1):103-109.(in Chinese)
[8]欧进萍,朱荻涛.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-54.OU Jin-ping,NIU Di-tao,DU X.L.Random earthquake ground motion model and its parameter determination used inaseismic design[J].Earthquake Engineering and Engineering Vibration,1991,11(3):45-54.(in Chinese)
[9]赖明,叶天义,李英民.地震动的双重过滤白噪声模型[J].土木工程学报,1995,28(6):60-66.LAI Ming,YE Tian-yi,LI Ying-min.Bi-filtered white noise model of earthquake ground motion[J].China Civil EngineeringJournal,1995,28(6):60-66.(in Chinese)
[10]洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-52.HONG Feng,JIANG Jin-ren,LI Yu-ting.Power spectral models of earthquake ground motions and evaluation of itsparameters[J].Earthquake Engineering and Engineering Vibration,1994,14(2):46-52.(in Chinese)
[11]BOORE D M.Simulation of ground motion using the stochastic method[J].Pure and Applied Geophysics,2003,160(3-4):635-676.
[12]胡聿贤.地震工程学[M].北京:地震出版社,2006:29-40.
[13]李英民,刘立平,赖明.工程地震动随机功率谱模型的分析与改进[J].工程力学,2008,25(3):43-48,57.LI Ying-min,LIU Li-ping,LAI Ming.Analysis and improvement of power random spectra of strong ground motions forengineering purpose[J].Engineering Mechanics,2008,25(3):43-48,57.(in Chinese)
[14]盛骤,谢世千.概率论与数理统计[M].北京:高等教育出版社,1989:354-356.
[2]KANAI K.Semi-empirical formula for the sesmic characteristics of the ground motion[C]∥Bulletein of Earthquake ResearchInstitute University of Tokyo.Japan:Earthquke Research Institute Universiy of Tokyo,1957,35(2):309-325.
[3]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:Mc Graw-Hill,1979:404-406.
[4]李春祥,翟文杰.改进的Clough-Penzien地震地面运动模型[J].地震工程与工程振动,2003,23(5):53-56.LI Chun-xiang,ZHAI Wen-jie.Modified clough penzien earthquake ground motion model[J].Earthquake Engineering andEngineering Vibration,2003,23(5):53-56.(in Chinese)
[5]胡聿贤,周锡元.地震力统计理论评价[C]∥中国科学院土木建筑研究所地震工程研究报告集(第一集),北京:科学出版社,1962:21-32.HU Yu-xian,ZHOU Xi-yuan.Theoretical evaluation of statistical on earthquake force[C]∥Selected Papers for EarthquakeEngineering,Institute of Architecture and Civil Engineering,China Academy of Science Volume 1,Beijing:Science Press,1962:21-32.(in Chinese)
[6]杜修力,陈厚群,地震动随机模拟及其参数确定方法[J].地震工程与工程振动,1994,14(4):1-5.DU Xiu-li,CHEN Hou-qun.Random simulation and its parameter determination method of earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(4):1-5.(in Chinese)
[7]杜修力,胡晓,陈厚群.强震地运动随机过程模拟[J].地震学报,1995,17(1):103-109.DU Xiu-li,HU Xiao,CHEN Hou-qun.Random simulation of earthquake ground motion[J].ACTA Seismologica Sinica,1995,17(1):103-109.(in Chinese)
[8]欧进萍,朱荻涛.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-54.OU Jin-ping,NIU Di-tao,DU X.L.Random earthquake ground motion model and its parameter determination used inaseismic design[J].Earthquake Engineering and Engineering Vibration,1991,11(3):45-54.(in Chinese)
[9]赖明,叶天义,李英民.地震动的双重过滤白噪声模型[J].土木工程学报,1995,28(6):60-66.LAI Ming,YE Tian-yi,LI Ying-min.Bi-filtered white noise model of earthquake ground motion[J].China Civil EngineeringJournal,1995,28(6):60-66.(in Chinese)
[10]洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-52.HONG Feng,JIANG Jin-ren,LI Yu-ting.Power spectral models of earthquake ground motions and evaluation of itsparameters[J].Earthquake Engineering and Engineering Vibration,1994,14(2):46-52.(in Chinese)
[11]BOORE D M.Simulation of ground motion using the stochastic method[J].Pure and Applied Geophysics,2003,160(3-4):635-676.
[12]胡聿贤.地震工程学[M].北京:地震出版社,2006:29-40.
[13]李英民,刘立平,赖明.工程地震动随机功率谱模型的分析与改进[J].工程力学,2008,25(3):43-48,57.LI Ying-min,LIU Li-ping,LAI Ming.Analysis and improvement of power random spectra of strong ground motions forengineering purpose[J].Engineering Mechanics,2008,25(3):43-48,57.(in Chinese)
[14]盛骤,谢世千.概率论与数理统计[M].北京:高等教育出版社,1989:354-356.
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