利用小波重构合成地震波方法及特性研究
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摘要
针对傅里叶变换合成地震波理论的不足,提出一种利用小波重构合成地震波的方法.以控制频带能量为标准,推导了合成地震波的公式.运用抗震设计规范中的相关设计参数合成了地震波,并分析研究了在合成地震波时小波函数基的选取方法和阻尼比对合成结果的影响.结果表明,用小波重构合成的地震波能够反应地震波基本特性和场地特征周期,并具有很好的时频非平稳性.
A novel method of synthesizing seismic wave using wavelet reconstruction is proposed and compared with the traditional method of using theory of Fourier transform. Taking the criterion of controlling the frequency band energy, the formula of synthesizing seismic wave is deduced. Using the design parameters specified in Chinese Seismic Design Code for buildings, seismic waves are synthesized. Moreover, the method of selecting wavelet bases in synthesizing earthquake wave and the influence of the damping ratio on synthesizing results are analyzed. The results show that the synthesis seismic waves using wavelet bases can represent the characteristics of the seismic wave as well as the ground characteristic period, and have good time-frequency non-stationarity.
引文
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