地震波时频特征及与结构地震响应的关系  

RELATION BETWEEN TIME-FREQUENCY CHARACTERISTIC OF EARTHQUAKE GROUND MOTIONS AND STRUCTURAL EARTHQUAKE RESPONSES

作　　者：樊剑[1] 吕超[1] 张辉[1] 

机构地区：[1]华中科技大学土木工程与力学学院,武汉430074

出　　处：《工程力学》2010年第6期98-105,126,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(50778079);湖北省自然科学基金项目(2006ABA067)

摘　　要：首先推导了离散S变换的基本算法,定义了反映地震波时频特性的时变幅值谱和时变能量谱;基于S变换提出了把原始波调整成具有目标反应谱的新方法,分析了El_centro波、Northridge波、Kobe波和人工合成波以及经调整后的各地震波的时频特征;对地震波的时变谱进行特征提取,提出了能反映地震波在时频空间中能量集中程度的新概念,即地震波的时频特征谱;通过分析发现,具有相似功率谱密度函数(即具有相似频域特征)的地震波,它们的弹性加速度反应谱可能有很大的差异,而具有相似时频特征谱的地震波,具有相似的弹性加速度反应谱;相关性分析表明地震波的时频特征谱与线性结构的弹性加速度反应谱具有很好的线性相关性;最后建立了地震波的时频特征谱与弹性加速度反应谱之间的近似转换关系式,此转换关系可作为合成具有目标反应谱的人工地震波使用。The formulas of discrete S-transform are derived,and the time-varying amplitude spectrum and time varying energy spectrum based on S-transform are given.A new procedure is presented to generate an accelerograms whose elastic response spectrum is compatible with a target spectrum by using actual earthquake records as parents.The time-frequency characteristics of Northridge wave,El-centro wave,Kobe wave and an artificial wave are analyzed through numerical example.The time-frequency characteristic spectrum which reflects the centralized degree of energy of earthquake ground motion is extracted from the time varying energy spectrum.It is showed that the time-frequency characteristic spectrum is related linearly to the elastic acceleration response spectrum.Finally,the approximate transformation equation between the time-frequency characteristic spectrum and the elastic acceleration response spectrum is established.

关 键 词：S变换 时变谱 非平稳地震波 时频特征谱 结构地震响应 

分 类 号：TU311.3[建筑科学—结构工程] P315.31[天文地球—地震学]