EEMD修正爆破加速度零漂信号中的最优白噪声系数

王志亮; 陈贵豪; 黄佑鹏

doi:10.11883/bzycj-2019-0154

EEMD修正爆破加速度零漂信号中的最优白噪声系数

doi: 10.11883/bzycj-2019-0154

合肥工业大学土木与水利工程学院，安徽合肥 230009

基金项目: 国家自然科学基金（51579062，51379147）

详细信息

作者简介:
王志亮（1969－　），男，博士，教授，cvewzL@hfut.edu.cn

中图分类号: O384
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- 被引次数: 0
出版历程
- 收稿日期: 2019-04-23
- 修回日期: 2019-06-03
- 网络出版日期: 2019-07-25
- 刊出日期: 2019-08-01

Optimal white noise coefficient in EEMD corrected zero drift signal of blasting acceleration

School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, Anhui, China

摘要

摘要: 为了有效降低振动信号误差以提高数据的可信度，先针对花岗岩爆破试验中的加速度零漂信号，使用集合经验模态分解（ensemble empirical mode decomposition，EEMD）与高低频处理相结合的方法进行修正；接着，根据信号冲击响应谱提出表征修正前后频域平均偏差幅度的修正指数；最后，基于频域和时域分别讨论了不同白噪声系数范围内信号的修正效果。分析表明：EEMD方法能够有效地消除爆破加速度信号的零漂现象，但对积分后速度信号的零漂趋势改善有限；随着白噪声系数增大，不同频段上修正指数均不同程度地增大，二者呈现幂指数关系；根据不同频段上的修正指数分析，可以确定不同零漂加速度信号对应的最优白噪声系数范围。本文提出的修正指数可为EEMD方法处理加速度零漂信号时白噪声系数的合理选取提供参考。
- 爆破信号 /
- 零漂 /
- EEMD /
- 白噪声系数 /
- 冲击响应谱 /
- 修正指数
Abstract: To reduce the deviation of vibration signals effectively and improve the reliability of the data, the method of combining the ensemble empirical mode decomposition (EEMD) and the processing of high and low frequency is first applied to correct the acceleration zero-drift signals collected in the blasting test of granite. Then, according to the shock response spectrum of vibration signals, a correction index is proposed to characterize the average deviation amplitude of the frequency domain between the original and the corrected signals. Finally, the correction effects of signals in different white noise coefficients are discussed based on the frequency domain and the time domain. The analysis shows that the EEMD method can effectively eliminate the zero-drift phenomenon of the acceleration signal, but the improvement of zero-drift trend of the velocity signal after integration is limited. With the increase of the white noise coefficient, the correction indices in different frequency bands increase to varied extents, and the power exponent relationship is presented between them. According to the modified exponential analysis in different frequency bands, the optimal white noise coefficient range corresponding to different acceleration zero-drift signals can be determined. The correction index proposed in this study can provide a reference for the reasonable selection of white noise coefficient when EEMD method is used to process the zero-drift signal of acceleration.
- blasting signal /
- zero-drift /
- EEMD /
- white noise coefficient /
- shock response spectrum /
- correction index

HTML全文

图 1 EMD算法流程图

Figure 1. Flow chart of EMD algorithm

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图 2 试验与数据采集

Figure 2. Test and data collection

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图 3 爆破加速度信号A

Figure 3. Blast acceleration signal A

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图 4 EEMD分解信号(k=0.10)

Figure 4. Signals decomposed by EEMD method (k=0.10)

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图 5 部分IMF分量频谱图

Figure 5. Spectrograms of partial IMF components

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图 6 EEMD修正前后的信号

Figure 6. Signals before and after EEMD correction

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图 7 不同白噪声系数下EEMD修正信号的冲击响应谱

Figure 7. Shock response spectra of signals modified by EEMD under different white noise coefficients

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图 8 不同白系数噪声下不同频段上的冲击响应谱修正指数

Figure 8. Correction indices of shock response spectra on different frequency bands under different white noise coefficients

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图 9 不同白系数噪声下不同频段上的冲击响应谱修正指数

Figure 9. Correction indices of shock response spectrum on different frequency bands under different white noise coefficients

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图 10 爆破加速度信号B及其修正信号

Figure 10. Blast acceleration signal B and its corrected signal

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图 11 EEMD修正前后速度曲线

Figure 11. Velocity curves before and after correcting by EEMD

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图 12 滑动平均法修正后速度曲线

Figure 12. Velocity curve modified by sliding average method

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图 13 两种方法处理后信号与原始信号的冲击响应谱

Figure 13. Shock response spectra of original signals and processed signals by the two methods

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表 1 不同白噪声系数下IMF分量主频

Table 1. Dominant frequencies of IMF components under different white noise coefficients

IMF分量	主频/Hz				IMF分量	主频/Hz
IMF分量	k=0.05	k=0.10	k=0.15	k=0.20	IMF分量	k=0.05	k=0.10	k=0.15	k=0.20
IMF1	18 860	18 740	18 760	18 760	IMF8	440	540	600	640
IMF2	18 880	18 800	18 840	1 800	IMF9	240	280	300	320
IMF3	7 500	8 420	8 480	8 500	IMF10	100	200	220	220
IMF4	5 100	7 520	7 520	7 520	IMF11	40	40	40	40
IMF5	2 280	3 180	5 160	5 160	IMF12	20	20	20	20
IMF6	1 240	1 360	1 560	2 340	IMF13	20	20	20	20
IMF7	660	740	800	840	δ	20	20	20	20

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表 2 不同频段修正指数范围

Table 2. Ranges of correction index on different frequency bands

频段/Hz	${\bar D_{\min }}/{\text{%}} $	${\bar D_{\max }}/{\text{%}} $	频段/Hz	${\bar D_{\min }}/{\text{%}} $	${\bar D_{\max }}/{\text{%}} $
(0, 40]	8.86	86.72	(4 000, 19 000]	0.79	1.88
(40, 30 000]	1.85	4.34	(19 000, 30 000]	0.37	0.85
(40, 4 000]	9.99	23.34

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