孙凯, 肖梅玲, 潘志成, 吕尔燕. 基于谐波小波的非平稳地震动时频功率谱研究*[J]. 云南大学学报(自然科学版), 2018, 40(5): 929-934. doi: 10.7540/j.ynu.20180090
引用本文: 孙凯, 肖梅玲, 潘志成, 吕尔燕. 基于谐波小波的非平稳地震动时频功率谱研究*[J]. 云南大学学报(自然科学版), 2018, 40(5): 929-934. doi: 10.7540/j.ynu.20180090
SUN Kai, XIAO Mei-ling, PAN Zhi-cheng, LYU Er-yan. Research on nonstationary ground motion time-frequency power spectrum via harmonic wavelet[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(5): 929-934. DOI: 10.7540/j.ynu.20180090
Citation: SUN Kai, XIAO Mei-ling, PAN Zhi-cheng, LYU Er-yan. Research on nonstationary ground motion time-frequency power spectrum via harmonic wavelet[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(5): 929-934. DOI: 10.7540/j.ynu.20180090

基于谐波小波的非平稳地震动时频功率谱研究*

Research on nonstationary ground motion time-frequency power spectrum via harmonic wavelet

  • 摘要: 研究地震动非平稳性较好的工具是时频局部化分析,小波变换理论具备这一特点.文章根据离散小波变换原理,基于谐波小波推导出了小波变换系数与地震动功率谱密度函数关系的数学模型;并对EL-centro地震记录进行了时频谱分析,验证了该模型是合理的;然后针对2001年云南永胜地震的455条加速度地震动记录进行了功率谱分析,得到了该地区地震动的特征参数.最后根据得到的大量周期域内功率谱曲线,提出了三段式的目标功率谱函数.

     

    Abstract: The tool to study the nonstationarity of ground motion is time-frequency localization analysis,with wavelet theory as the prominent feature.A mathematic model of the relationship between wavelet transform coefficients and ground motion power spectral density function is builded based on harmonic wavelet.The time-frequency spectrum analysis of EL-centro seismic records is carried out,which verifies the model is reasonable.Then the power spectrum analysis of 455 acceleration ground motions recorded by the 2001 Yongsheng earthquake in Yunnan Province has been carried out,and the characteristic parameters of ground motions in this area have been obtained.Finally,based on the obtained a large number of power spectrum curve in periodic domains,a three-stage target power spectrum function has been explored.

     

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