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兰姆波检测信号的匹配追踪时频分析

Matching pursuit time-frequency analysis of Lamb wave detection signals

  • 摘要: 为有效去除兰姆波检测信号中的冗余信息和识别多个模态,应用匹配追踪方法对兰姆波信号进行处理。在Chirplet原子基础上添加弯曲算子进行改进,以更好地匹配频散和多模式兰姆波信号的特征。由改进的Chirplet原子组成过完备字典,使用基于遗传算法的匹配追踪(GAMP)信号稀疏分解方法,从过完备字典中选出与待分析信号相匹配的最佳原子,利用最佳匹配原子和对应的分解系数进行信号重构和时频分析。研究结果表明,改进后的Chirplet原子更能反映出兰姆波信号的非线性时频变化特征,得到的时频分布与频散曲线的弯曲特性能很好的吻合。采用改进后的Chirplet原子匹配追踪方法可以获取更加精确的走时信息,为后续兰姆波损伤定位成像奠定基础。

     

    Abstract: A matching pursuit method is used for Lamb wave signal processing so as to remove the redundancies of the detection signals and effectively identify the multiple Lamb wave modes.The Chirplet atoms are improved by adding a bending operator to match the dispersion and multiple mode characteristics of Lamb waves.Using the sparse decomposition of matching pursuit method based on genetic algorithms,the best matched atoms are selected from the over-complete dictionary which consists of improved Chirplet atoms.The Lamb waves are reconstructed and processed by time-frequency analysis from the best atoms and their corresponding decomposition coefficients.The study demonstrates that the matching pursuit method based on the improved Chirplet atoms can better reflect the nonlinear time-frequency change characteristics of Lamb wave detection signals,and the time-frequency distributions of Lamb wave signals agree with the bending characteristics of the dispersion curves very well.Thus,the matching pursuit method based on the improved Chirplet atoms could get the time-flight information of Lamb waves more accurately,which lays the foundation for further structural damage localization imaging using Lamb waves.

     

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