爆破振动信号时频特征的三维分形特性研究

谢全民;龙源;田作威;张洋溢;纪冲

振动与冲击 ›› 2010, Vol. 29 ›› Issue (12) : 118-121,.

PDF(1693 KB)
PDF(1693 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (12) : 118-121,.
论文

爆破振动信号时频特征的三维分形特性研究

  • 谢全民1,2;龙源1;田作威3;张洋溢1;纪冲1
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TIME-FREQUENCY CHARACTER-ISTIC OF BLAST VIBRATION SIGNATHREE-DIMENSIONAL FRACTAL STUDY ON THE L

  • XIE Quan-min1, 2; LONG Yuan1; TIAN Zuo-wei3; ZHANG Yang-yi1; JI Chong1
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摘要

为进一步研究爆破振动信号能量特征,基于小波包变换方法对爆破振动信号时频能量特征进行分析。在二维矩形盒维数模型的基础上建立了计算三维曲面分形盒维数模型,并计算得到实测爆破振动信号时频能量谱的三维分形盒维数 。该分形维数满足空间分形条件 ,验证了爆破振动信号时频能量谱具有三维分形特征。经研究三维分形曲面盒维数 与其剖面二维分形盒维数 之间的数值关系,表明计算空间分形曲面分维数的常规假设 并非严格成立。研究表明,所提出的长方体覆盖空间曲面的分形维数计算方法可行、有效,为进一步研究爆破振动信号特征、控制爆破地震效应提供了新的研究思路。

Abstract

To further study the characteristics of blast vibration signals, time-frequency energy character-istics of blast vibration signals were analyzed based on wavelet packet transform. The three-dimensional fractal surface box dimension model was established based on two-dimensional rectangular box covering method. By analyzing the measured blasting vibration signal data, fractal dimension of the three-dimensional time-frequency energy spectrum is 2.1488, which meets the condition for space fractal dimen-sion , and verifies that the time-frequency energy spectrums of blasting vibration signals have fractal characteristics. By studying the relationship between the three-dimensional fractal surface and two-dimensional box dimension of its section, the assumption of for traditional surface fractal dimension calculation method is not exactly. The study indicates, cuboids’ covering surface calcula-tion method for fractal dimension is feasible and effective, which provides a new idea for further study of blast vibration characteristics and the blasting seismic effect control.

关键词

爆破振动 / 小波包 / 时频特征 / 三维分形 / 盒维数

Key words

blast vibration / wavelet packet transform / time-frequency characteristics / three-dimensional fractal / box dimension

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谢全民;龙源;田作威;张洋溢;纪冲. 爆破振动信号时频特征的三维分形特性研究[J]. 振动与冲击, 2010, 29(12): 118-121,
XIE Quan-min;;LONG Yuan;TIAN Zuo-wei;ZHANG Yang-yi;JI Chong. TIME-FREQUENCY CHARACTER-ISTIC OF BLAST VIBRATION SIGNATHREE-DIMENSIONAL FRACTAL STUDY ON THE L[J]. Journal of Vibration and Shock, 2010, 29(12): 118-121,

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