多段微差爆破振动信号频带能量分布特征的小波包分析
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摘要
爆破振动分析是研究爆破振动危害控制的基础,也是控制爆破振动危害的前提。根据爆破振动信号具有短时非平稳的特点,利用小波包分析技术对满足分析要求的多段微差爆破振动信号的能量分布特征进行研究。首先,简略地介绍了小波变换与小波包分析的特点;其次,对6条多段微差爆破振动信号进行小波包分析,得到了爆破振动信号在不同频带上的能量分布图;最后,总结了多段微差爆破振动信号频带能量的分布特征。该分析手段为综合研究爆破地震效应特别是为将来构建振动速度–频率相关安全准则提供了一种有效的分析技术。
Blast vibration analysis is the foundation for studying the control of blasting vibration damage. Based on the characteristics of short-time non-stationary random signals,this paper investigates the energy distributions of blasting vibration signals by means of the wavelet packet analysis technique. In this paper,the characteristics of wavelet transform and wavelet packet analysis are briefly introduced. Then,6 sets of blasting vibration signals of multi-interval-time in millisecond blasts are analyzed by using the wavelet packet analysis technique with MATLAB. Energy distributions for different frequency bands are obtained. The results show that the wavelet packet analysis method is an effective means for studying seismic effect induced by blasting,and is especially useful for establishing the velocity-frequency criteria.
Blast vibration analysis is the foundation for studying the control of blasting vibration damage. Based on the characteristics of short-time non-stationary random signals,this paper investigates the energy distributions of blasting vibration signals by means of the wavelet packet analysis technique. In this paper,the characteristics of wavelet transform and wavelet packet analysis are briefly introduced. Then,6 sets of blasting vibration signals of multi-interval-time in millisecond blasts are analyzed by using the wavelet packet analysis technique with MATLAB. Energy distributions for different frequency bands are obtained. The results show that the wavelet packet analysis method is an effective means for studying seismic effect induced by blasting,and is especially useful for establishing the velocity-frequency criteria.
引文
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[15]Daubechies I.The wavelet transform,time-frequency localization and signal analysis[J].IEEE Transactions on Information Theory,1990,36(5):961–1005.
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[2]林俊德.爆炸地震波的频率特性分析[J].岩石力学与工程学报,1996,15(增):476–480.(Lin Junde.Analysis on frequency characteristics of explosive seismic wave[J].Chinese Journal of Rock Mechanics and Engineering,1996,15(Supp.):476–480.(in Chinese))
[3]张雪亮,黄树棠.爆破地震效应[M].北京:地震出版社,1981.(Zhang Xueliang,Huang Shutang.Effect of Blasting Ground Vibration[M].Beijing:Earthquake Press,1981.(in Chinese))
[4]方向,高振儒,龙源等.减震沟对爆破震动减震效果的试验研究[J].工程爆破,2002,8(4):20–23.(Fang Xiang,Gao Zhenru,Long Yuan,et al.Experimental study on the effect of damping ditch on reduction of blasting vibration[J].Engineering Blasting,2002,8(4):20–23.(in Chinese))
[5]张贤达,保铮.非平稳信号分析与处理[M].北京:国防工业出版社,1998.1–12.(Zhang Xianda,Bao Zheng.Non-stationary Signal Analysis and Processing[M].Beijing:National Defence Industry Press,1998.1–12.(in Chinese))
[6]王宏禹.非平稳随机信号分析与处理[M].北京:国防工业出版社,1999.12–20.(Wang Hongyu.Non-stationary Random Signal Analysis and Processing[M].Beijing:National Defence Industry Press,1999.12–20.(in Chinese))
[7]何军,于亚伦,梁文基.爆破振动信号的小波分析[J].岩土工程学报,1998,20(1):47–50.(He Jun,Yu Yalun,Liang Wenji.Wavelet analysis for blasting seismic signals[J].Chinese Journal ofGeotechnical Engineering,1998,20(1):47–50.(in Chinese))
[8]林大超,施惠基,白春华等.爆炸地震效应的时频分析[J].爆炸与冲击,2003,23(1):31–35.(Lin Dachao,Shi Huiji,Bai Chunhua,et al.Time-frequency analysis of explosion seismic effects[J].Explosion and Shock Waves,2003,23(1):31–35.(in Chinese))
[9]黄文华,徐全军,沈蔚等.小波变换在判断爆破地震危害中的应用[J].工程爆破,2001,7(1):24–27.(Huang Wenhua,Xu Quanjun,Shen Wei,et al.Application of wavelet transform in evaluation of blasting vibration damage[J].Engineering Blasting,2001,7(1):24–27.(in Chinese))
[10]Charles K.An Introduction to Wavelets[M].New York:Academic Press,1992.297–333.
[11]Mallat S G.A theory for multi-dimension signal decomposition:the wavelet models[J].Pattern Analysis and Machine Intel,1989,11:674–693.
[12]陈逢时.子波变换理论及其在信号分析与处理中的应用[M].北京:国防工业出版社,1999.7–120.(Chen Fengshi.Wavelet Transform and Its Application in Signal Analysis and Processing[M].Beijing:National Defense Industry Press,1999.7–120.(in Chinese))
[13]邹云屏,李潇.信号变换与处理[M].武汉:华中理工大学出版社,1993.8–12.(Zou Yunping,Li Xiao.Signals Transform and Processing[M].Wuhan:Huazhong University of Science and Technology Press,1993.8–12.(in Chinese))
[14]胡昌华,张军波,夏军等.基于MATLAB的系统分析与设计——小波分析[M].西安:西安电子科技大学出版社,2000.6–266.(Hu Changhua,Zhang Junbo,Xia Jun,et al.System Analysis and Processing Based on MATLAB—Wavelet Analysis[M].Xi′an:Xidian University Press,2000.6–266.(in Chinese))
[15]Daubechies I.The wavelet transform,time-frequency localization and signal analysis[J].IEEE Transactions on Information Theory,1990,36(5):961–1005.
[16]Daubechies I.Orthonormal bases of compactly supported wavelets[J].Commun.Pure.and Appl.Math.,1988,41(7):909–996.
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