超随机特性对地震动谱特性和时间历程的影响

英文篇名：The effect of the super-randomness on spectral property and time history of strong ground motion
中文刊名：地震工程与工程振动
英文刊名：Earthquake Engineering and Engineering Vibration
作者：徐国栋 ; 周锡元 ; 闫维明 ; 董娣
英文作者：Xu Guodong~(1) ; Zhou Xiyuan~(1 ; 2) ; Yan Weiming~(1) ; Dong Di~(1)(1.Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit ; Beijing 100022 ; China ; 2.Institute ofEarthquake Engineering and Disaster Reduction ; Beijing University of Technology ; Beijing 100022 ; China)
中文关键词：平稳随机过程Penzien谱 ; 超随机特性 ; 自相关函数 ; 波形 ; 振幅 ; 反应谱 ; 人工合成地震动
英文关键词：stationary random process ; Penzien spectra ; superrandomness ; auto-correlation function ; SS(sum of squares) ; wave-shape ; amplitude ; responding spectra ; man-made ground motion
出版日期：2005-10-20
机构：北京市工程抗震与结构诊治重点实验室,北京市工程抗震与结构诊治重点实验室,北京市工程抗震与结构诊治重点实验室,北京市工程抗震与结构诊治重点实验室北京100022 ,北京100022,北京工业大学抗震减灾研究所,北京100022 ,北京100022 ,北京100022
年：2005
期：05
出版单位：地震工程与工程振动

摘要

本文从单个地震动样本的角度分析了超随机部分对地震动波形的影响,认为自相关函数噪声部分或功率谱的随机波动部分对地震动波形的影响不大,对地震动的波形起主要控制作用的是地震动的相位谱或相位差谱,而自相关函数的噪声部分(或功率谱的随机波动成分)只对地震动波形起一定程度的调整作用。文中基于平稳随机过程的理论,用蒙特卡罗方法分析了自相关函数噪声项对人工合成地震动振幅和反应谱的影响:由于自相关函数的随机噪声项对地震动总功率或平方和的贡献为零,因此随机噪声项对合成地震动幅值的影响不大,但是由于自相关函数随机噪声项明显改变了地震动功率谱的形状和分布特征,使其出现了明显的波动,也在一定程度上提高了平均反应谱的峰值,从而对平均反应谱也产生一些影响。考虑地震动自相关函数中的随机噪声部分有助于更真实地模拟和反映地震动的真实特性。
From the view of the sample analysis,this paper indicates that the effect of the super-random part in the autocorrelation function or in the power spectra on the wave-shape of ground motion is not considerable,and the phase spectra or the phase-difference spectra are the main controlling factor of the wave-shape of ground motion.The super-random part would modify the wave-shape of ground motion locally.Based on the stationary random process,the Monte Carlo method was used to analyze the effect of the random noise part in auto-correlation on the peak value of man-made seismic wave and on the response spectra as well.Due to the zero contribution of the noise part of auto-correlation to the total power of seismic wave,the effect of the noise part on the man-made seismic wave's amplitude is insignificant.But because the noise part greatly changes the frequent-domain distribution of the power spectrum,the random part in autocorrelation function leads to some effects on the response spectra.However,considering the super-randomness will be in favor of simulating the real features of ground motion.

引文

[1]C lough R W,Penzien J,Dynam ics of structures[M].M c G raw-H ill:New York,1993.
    [2]Guo-Quan W ang,X i-Yuan Zhou,Zong-Jin Ma,Pei-Zhen Zhang.A prelim inary study on the randomness of response spectra of the 1999Ch i-Ch i,Taiwan earthquake[J],Bu lletin of the Seismological Society ofAm erica,2001,91(5):1358~1369.
    [3]G-Q W ang,X Y Zhou,P Zhang,H Igel.Characteristics of amplitude and duration for near fau lt strong ground motion from the 1999 Ch i-Ch i,Taiwan earthquake[J].Soil Dynam ics and Earthquake Engineering,2002,.22(1):73~96.
    [4]K Kanai.Sem i-emp irical formu la for the seism ic characteristics of ground motion[J].Bu ll.Earthq.Res.Inst.,Tokyo Un iversity,1957,35:306~325.
    [5]胡聿贤,周锡元.地震力统计理论评价[A].中国科学院土木建筑研究所,地震工程研究报告集(第一集)[C].北京:科学出版社,1962.
    [6]胡聿贤,何训.考虑相位谱的人造地震动反应谱的拟合[J].地震工程与工程震动,1986,6(2):37~51.
    [7]胡聿贤主编.地震安全性评价技术教程[M].北京:地震出版社,1999.
    [8]李桂清,曹宏,李秋胜,霍达.结构动力可靠度理论及其应用[M].北京:地震出版社,1993.
    [9]沈聚敏,周锡元,高小旺,等.抗震工程学[M].北京:中国建筑工业出版社,2002.
    [10]王国权.921台湾集集地震近断层地面运动特征[D].北京:中国地震局地质研究所,2001.
    [11]徐国栋,周锡元,董娣,等.强震地面运动的超随机特性研究[J].地震工程与工程振动,2005,25(2):1~9.
    [12]徐国栋,周锡元,闫维明,等.考虑超随机特性的人工地震动合成[J].地震工程与工程振动,2005,25(4):11~17.