工程地震动随机功率谱模型的分析与改进
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摘要
地震动模型的多样化增加了工程应用中地震动输入的选择机会,同时也增大了选择的难度。首先对常用的地震动功率谱模型进行了系统综述,提出地震动功率谱模型应满足地震动过程能量有限和零频含量为零的基本条件,对比分析了9种常用随机功率谱模型的滤波特性和能量有界性,结合地震动功率谱模型的基本要求,给出了建议的地震动功率谱模型,并对其合理性进行了分析。
There are lots of proposed analytical models for strong ground motions, but it is difficult to choose a befitting one. Therefore, in the view point of practical engineering, the power random spectra of strong ground motions are summarized. Then the consideration of two basic conditions (the energy of strong ground motions is finite and the power random spectrum is zero when the frequency is zero, which are necessary to power random spectra of strong ground motions) is taken. Based the two basic conditions and the analytical result of 9 power random spectrums, an improved power spectrum of strong ground motions model is putted forward, and the rationality of the improved power spectrum is analyzed.
There are lots of proposed analytical models for strong ground motions, but it is difficult to choose a befitting one. Therefore, in the view point of practical engineering, the power random spectra of strong ground motions are summarized. Then the consideration of two basic conditions (the energy of strong ground motions is finite and the power random spectrum is zero when the frequency is zero, which are necessary to power random spectra of strong ground motions) is taken. Based the two basic conditions and the analytical result of 9 power random spectrums, an improved power spectrum of strong ground motions model is putted forward, and the rationality of the improved power spectrum is analyzed.
引文
[1]李英民.工程地震动的模型化研究[D].重庆:重庆建筑大学,2000.Li Yingmin.Modeling of strong ground motions for engineering purpose[D].Chongqing:Chongqing Jianzhu University,2000.(in Chinese)
[2]常中仁.两自由度地震动模型在结构抗震设计中的应用[D].重庆:重庆建筑大学,1995.Chang Zhongren.Application of two-degree-of freedom model of strong ground motions for seismic design of buildings[D].Chongqing:Chongqing Jianzhu University,1995.(in Chinese)
[3]俞载道,曹国敖.随机振动理论及其应用[M].上海:同济大学出版社,1988.Yu Zaidao,Cao Guoao.Theory of random vibration and application[M].Shanghai:Tongji University Press,1988.(in Chinese)
[4]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[M].中国科学院土木建筑研究所地震工程研究报告集(第1集).北京:科学出版社,1962:33―50.Hu Yuxian,Zhou Xiyuan.The response of the elastic system under the stationary and nonstationary ground motions[M].Earthquake Engineering Research Report(No.1)by the Institute of Civil Engineering,Chinese Academy of Sciences.Beijing:Science Press,1962:33―55.(in Chinese)
[5]Clough R W,Penzien J.Dynamics of structures[M].New York:McGraw-Hill Book Co.,1975.
[6]牛荻涛.基于弹塑性随机动力分析的抗震结构概率设计理论与方法[D].哈尔滨:哈尔滨建筑大学,1991.Niu Ditao.Theory and method of structure earthquake-resistant probability design based on elastoplastic random dynamic analysis[D].Harbin:Harbin University of Civil Engineering and Architecture,1991.(in Chinese)
[7]欧进萍,牛荻涛,杜修力.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 Jinping,Niu Ditao,Du Xiuli.Model and parameters of random ground motion to design[J].Journal of Earthquake Engineering and Engineering Vibration,1991,11(3):45―54.(in Chinese)
[8]叶天义.结构抗震的随机振动理论及应用研究[D].重庆:重庆建筑大学,1993.Ye Tianyi.Theory and application of random vibration in structure earthquake-resistant analysis[D].Chongqing:Chongqing Jianzhu University,1993.(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 Tianyi,Li Yingmin.Bi-filtered white noise model of earthquake ground motion[J].China Civil Engineering Journal,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 Jinren,Li Yuting.Power spectral models of earthquake ground motions and evaluation of its parameters[J].Journal of Earthquake Engineering and Engineering Vibration,1994,14(2):46―52.(in Chinese)
[11]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 Xiuli,Chen Houqun.Random simulation and its parameter determination method of earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(4):1―5.(in Chinese)
[12]王广军.建筑抗震设计规范手册[M].北京:中国建筑科学研究院,1991.Wang Guangjun.Handbook to code for seismic design of buildings[M].Beijing:China Academy of Building Research,1991.(in Chinese)
[13]江近仁,陆钦年,孙景江.强震运动谱的统计特性[R].哈尔滨:中国地震局工程力学研究所,1987.Jiang Jinren,Lu Qinnian,Sun Jingjiang.The statistical characterization of strong ground motion spectrum[R].Harbin:Research Report by Institute of Engineering Mechanics,China Earthquake Administration,1987.(in Chinese)
[14]Lai Shih sheng P.Statistical characterization of strong ground motions using power spectral density function[J].Bulletin of the Seismological Society of America,1982,72(1):259―274.
[15]Lutes L D,Lilhanand K.Frequency content in earthquake simulation[J].Journal of the Engineering Mechanics Division,ASCE,1979,105(EM1):143―158.
[16]Papageogiou A S,Aki K.Aspects of the mechanics of earthquake rupture related to the generation of high frequency waves and prediction of strong ground motion[J].Journal of Soil Dynamics and Earthquake Engineering,1982,1(2):67―74.
[17]曹晖,赖明,白绍良.地震地面运动的局部谱密度的小波变换估计[J].工程力学,2004,21(5):109―115.Cao Hui,Lai Ming,Bai Shaoliang.Estimation of local spectral density of earthquake ground motion base on wavelet transform[J].Engineering Mechanics,2004,21(5):109―115.(in Chinese)
[18]杨红,曹晖,白绍良.地震波局部时频持时特性对结构非线性响应的影响[J].土木工程学报,2001,34(4):78―82.Yang Hong,Cao Hui,Bai Shaoliang.Effects of local time-frequency characteristics of earthquake wave on structural nonlinear responses[J].China Civil Engineering Journal,2001,34(4):78―82.(in Chinese)
[2]常中仁.两自由度地震动模型在结构抗震设计中的应用[D].重庆:重庆建筑大学,1995.Chang Zhongren.Application of two-degree-of freedom model of strong ground motions for seismic design of buildings[D].Chongqing:Chongqing Jianzhu University,1995.(in Chinese)
[3]俞载道,曹国敖.随机振动理论及其应用[M].上海:同济大学出版社,1988.Yu Zaidao,Cao Guoao.Theory of random vibration and application[M].Shanghai:Tongji University Press,1988.(in Chinese)
[4]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[M].中国科学院土木建筑研究所地震工程研究报告集(第1集).北京:科学出版社,1962:33―50.Hu Yuxian,Zhou Xiyuan.The response of the elastic system under the stationary and nonstationary ground motions[M].Earthquake Engineering Research Report(No.1)by the Institute of Civil Engineering,Chinese Academy of Sciences.Beijing:Science Press,1962:33―55.(in Chinese)
[5]Clough R W,Penzien J.Dynamics of structures[M].New York:McGraw-Hill Book Co.,1975.
[6]牛荻涛.基于弹塑性随机动力分析的抗震结构概率设计理论与方法[D].哈尔滨:哈尔滨建筑大学,1991.Niu Ditao.Theory and method of structure earthquake-resistant probability design based on elastoplastic random dynamic analysis[D].Harbin:Harbin University of Civil Engineering and Architecture,1991.(in Chinese)
[7]欧进萍,牛荻涛,杜修力.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 Jinping,Niu Ditao,Du Xiuli.Model and parameters of random ground motion to design[J].Journal of Earthquake Engineering and Engineering Vibration,1991,11(3):45―54.(in Chinese)
[8]叶天义.结构抗震的随机振动理论及应用研究[D].重庆:重庆建筑大学,1993.Ye Tianyi.Theory and application of random vibration in structure earthquake-resistant analysis[D].Chongqing:Chongqing Jianzhu University,1993.(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 Tianyi,Li Yingmin.Bi-filtered white noise model of earthquake ground motion[J].China Civil Engineering Journal,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 Jinren,Li Yuting.Power spectral models of earthquake ground motions and evaluation of its parameters[J].Journal of Earthquake Engineering and Engineering Vibration,1994,14(2):46―52.(in Chinese)
[11]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 Xiuli,Chen Houqun.Random simulation and its parameter determination method of earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,1994,14(4):1―5.(in Chinese)
[12]王广军.建筑抗震设计规范手册[M].北京:中国建筑科学研究院,1991.Wang Guangjun.Handbook to code for seismic design of buildings[M].Beijing:China Academy of Building Research,1991.(in Chinese)
[13]江近仁,陆钦年,孙景江.强震运动谱的统计特性[R].哈尔滨:中国地震局工程力学研究所,1987.Jiang Jinren,Lu Qinnian,Sun Jingjiang.The statistical characterization of strong ground motion spectrum[R].Harbin:Research Report by Institute of Engineering Mechanics,China Earthquake Administration,1987.(in Chinese)
[14]Lai Shih sheng P.Statistical characterization of strong ground motions using power spectral density function[J].Bulletin of the Seismological Society of America,1982,72(1):259―274.
[15]Lutes L D,Lilhanand K.Frequency content in earthquake simulation[J].Journal of the Engineering Mechanics Division,ASCE,1979,105(EM1):143―158.
[16]Papageogiou A S,Aki K.Aspects of the mechanics of earthquake rupture related to the generation of high frequency waves and prediction of strong ground motion[J].Journal of Soil Dynamics and Earthquake Engineering,1982,1(2):67―74.
[17]曹晖,赖明,白绍良.地震地面运动的局部谱密度的小波变换估计[J].工程力学,2004,21(5):109―115.Cao Hui,Lai Ming,Bai Shaoliang.Estimation of local spectral density of earthquake ground motion base on wavelet transform[J].Engineering Mechanics,2004,21(5):109―115.(in Chinese)
[18]杨红,曹晖,白绍良.地震波局部时频持时特性对结构非线性响应的影响[J].土木工程学报,2001,34(4):78―82.Yang Hong,Cao Hui,Bai Shaoliang.Effects of local time-frequency characteristics of earthquake wave on structural nonlinear responses[J].China Civil Engineering Journal,2001,34(4):78―82.(in Chinese)
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