摘要
基于小波、分形技术的相似性，提出采用小波分形组合技术对爆破振动信号进行分析。对爆破振动信号进行不同分解尺度的小波阈值去噪，根据去噪后振动波形分形维数的变化规律确定最佳小波分解尺度，通过爆破振动信号与小波分量的相似性及小波分量自相似性验证了爆破振动信号的分形特性，通过爆破振动信号各小波分量对应盒维数值进行对比分析，得出不同频带分量分维数随频率的变化规律，提出将分形盒维数作为反映爆破振动信号频率成分的新参量。采用小波分形组合分析技术建立爆破振动信号全频带分形维数分析模型，为更加细致地研究爆破振动效应的分形特性提供了重要参考。
Abstract
Based on the comparability of wavelet and fractal technology, wavelet and fractal combination technology is proposed to analyze blasting vibration signals. According to the variation law of fractal dimen-sion for vibration waveform after different scales wavelet threshold de-noising, the optimum wavelet de-composition scale was got. Through the similarity between blasting vibration signal and its wavelet vectors, and self-similarity for the wavelet vectors, fractal characteristics of blasting vibration signal were verified. Based on comparison analysis of corresponding box-counting dimension for the wavelet vectors of blasting vibration signal, the fractal dimension variation law with different frequency components was got. Fractal box-counting dimension of blasting vibration signals was put forward as a new parameter, which can reflect their frequency composition. The whole band fractal dimension analysis model of blasting vibration signal was set up by wavelet and fraction portfolio analysis, and the report will provide important reference for more detailed research on blasting vibration effects and their fractal characteristics.
关键词
爆破振动 /
小波变换 /
分形 /
盒维数 /
组合分析
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Key words
blasting vibration /
wavelet transform /
fractal /
box-counting dimension /
portfolio analysis
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谢全民;龙源;钟明寿;何洋扬;李兴华;毛益民.
小波与分形组合分析技术在爆破振动信号分析中的应用[J]. 振动与冲击, 2011, 30(12): 120-124,
XIE Quan-min;LONG Yuan;ZHONG Ming-shou;HE Yang-yang;LI Xin-hua;MAO Yi-min.
Wavelet and fractal portfolio technology in the application of blasting vibration signal analysis[J]. Journal of Vibration and Shock, 2011, 30(12): 120-124,
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