基于平稳离散小波变换的地震动时程模拟

英文篇名：Simulation of earthquake ground motion based on discrete stationary wavelet transform
中文刊名：世界地震工程
英文刊名：World Earthquake Engineering
作者：白泉 ; 朱浮声 ; 边晶梅
英文作者：BAI Quan1 ; 2 ; ZHU Fusheng2 ; BIAN Jingmei2(1.School of Architecture & Civil Engineering ; Shenyang University of Technology ; Shenyang 110004 ; China ; 2.School of Resources & Civil Engineering ; Northeastrn University ; Shenyang 110004 ; China ; )
中文关键词：平稳离散小波变换 ; 地震动时程模拟 ; 时变功率谱 ; 非平稳过程
英文关键词：discrete stationary wavelet transform ; simulation of earthquake ground motion ; time-dependent power spectral density ; nonstationary stochastic process
出版日期：2009-09-15
机构：沈阳工业大学建筑工程学院;东北大学资源与土木工程学院;
年：2009
期：03
出版单位：世界地震工程

摘要

人工地震动时程的模拟是结构抗震分析的热点问题。基于平稳离散小波变换理论,利用小波变换的带通滤波特性,推导了各频带小波系数与功率谱密度函数的关系,从而直接采用时变功率谱密度函数,在不同频带上随机生成小波系数,进而通过小波逆变换模拟出同时具有强度非平稳和频率非平稳的地震动时程。对模拟时程的统计特性与目标值进行了比较,证明了该方法的可行性和正确性。
Simulation of earthquake ground motion is a hot topic for seismic response analysis of structures.Utilizing the band pass character of wavelet transform,the relations between wavelet coefficients and power spectral density on different frequency bands are deduced based on discrete stationary wavelet transform.Then the random wavelet coefficients of each scale are obtained from the known time-dependent power spectral density function directly.At last,the inverse discrete stationary wavelet transform is applied to generate earthquake ground motion histories which have the properties of nonstationary in both amplitude and frequency contents.Through an example,the statistic characteristics of simulated time histories are compared with the objective values,and the feasibility and correctness of presented method are illustrated.

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