小波与分形组合分析技术在爆破振动信号分析中的应用  

Blasting vibration signal analysis with wavelet and fractal portfolio analysis technique

作　　者：谢全民[1,2] 龙源[1] 钟明寿[1] 何洋扬[3] 李兴华[1] 毛益明[1] 

机构地区：[1]解放军理工大学工程兵工程学院 [2]中国人民解放军63988部队 [3]中国人民解放军63956部队

出　　处：《振动与冲击》2011年第12期120-124,169,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(10772198)

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。Based on similarity of wavelet and fractal techniques, wavelet and fractal combination technique was proposed to analyze blasting vibration signals. According to the varying law of fractal dimension for vibration waveform after different scales wavelet threshold de-noising, the optimal wavelet decomposition scale was determined. Using the similarity between blasting vibration signal and its wavelet components, and the self-similarity of the wavelet components, the fractal characteristics of the blasting vibration signal were verified. Based on comparison analysis for the corresponding box-counting dimensions of the wavelet components of the blasting vibration signal, the fractal dimension changing law with different frequency components was obtained taken as a new parameter, they could reflect their The fractal box-counting dimensions of blasting vibration signals were frequency composition. The whole frequency band fractal dimension analysis model of blasting vibration signals was built with wavelet and fraction portfolio analysis, and the results provided an important reference for more detailed study 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 

分 类 号：TD235.1[矿业工程—矿井建设] O384[理学—流体力学]