地震动随机函数模型研究(Ⅰ)——模型建立  

Research on random function model of strong ground motion(Ⅰ):model constructing

作　　者：安自辉[1] 李杰[1] 

机构地区：[1]同济大学建筑工程系,上海200092

出　　处：《地震工程与工程振动》2009年第5期36-45,共10页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金委优秀创新研究群体科学基金项目(50321803)

摘　　要：基于随机过程的随机函数解释,发展了一种随机地震动模型。模型包括两个部分,分别是基于理论物理关系的Fourier幅值谱模型和基于经验关系的Fourier相位谱模型。基于拟加速度谱概念建立的幅值谱模型能够反映强震记录的幅值特性,而Fourier相位谱模型则利用累积相位谱的单值连续特性,以线性多项式与三角级数组合的形式给出。模拟记录与实测记录对比结果显示两者不仅在波形结构上相似性良好,而且反应谱层次亦吻合良好。A stochastic process can be defined as a function with random parameters. Based on these ideas, an original random function for earthquake accelerograms is proposed. The new model contains two parts： one is the model for the Fourier amplitude spectrum, which is obtained from the physical theorem; the other is the model for the Fourier phase spectrum, which is obtained from the empirical theorem. The Fourier amplitude spectrum model （FASM） can be deduced from the theorem of the pseudo - acceleration spectrum. The Fourier phase spectrum model （FPSM） is built on the accumulated phase spectrum and to be composed by linear polynomial and trigono- metric series. Most characters of accelerograms can be reconstructed by the proposed model in the waveform domain as well as at the response spectrum level.

关 键 词：地震动 幅值谱 累积相位谱 随机函数 

分 类 号：P315.31[天文地球—地震学]