EMD与SLS法在爆破振动加速度信号时域积分中的应用
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摘要
实测差异分析表明,速度振幅峰值分布受外界因素影响更具规律性,加速度信号主频分布比速度信号更分散。提出一种加速度信号时域积分算法,先基于经验模态分解法对信号进行趋势项剔除、去均值化和高频降噪,再对存在漂移现象的各固有模态函数分量时域积分速度分量进行最小二乘法处理。研究表明:各固有模态函数分量在处理过程中应分别对待;为达到较好降噪效果,阈值修正系数k应不断调整;分段最小二乘法对漂移现象的消除能力优于单段最小二乘法和经验模态分解法。最后,通过本文定义的全局参量和局部参量验证算法的优越性。
The analysis of measured differences shows that the distribution of peak values of vibration velocity is more regular than that of acceleration under the influence of external factors,and main frequency distribution of vibration acceleration signals is more scattered.A time integration algorithm for acceleration signal was put forward: based on empirical mode decomposition,the signal was processed by residual elimination,mean remove and high-frequency de-noising and velocity components in time integration during which exist drift phenomena were revised by least square method.The research shows: IMF components should be treated separately;to achieve better de-noising effect,threshold verified coefficient k should be adjusted;segment least square is superior to least square in single segment and empirical mode decomposition regarding the ability of eliminating drift phenomena.The advantages of the algorithm were verified through new global and local parameters defined in the paper.
The analysis of measured differences shows that the distribution of peak values of vibration velocity is more regular than that of acceleration under the influence of external factors,and main frequency distribution of vibration acceleration signals is more scattered.A time integration algorithm for acceleration signal was put forward: based on empirical mode decomposition,the signal was processed by residual elimination,mean remove and high-frequency de-noising and velocity components in time integration during which exist drift phenomena were revised by least square method.The research shows: IMF components should be treated separately;to achieve better de-noising effect,threshold verified coefficient k should be adjusted;segment least square is superior to least square in single segment and empirical mode decomposition regarding the ability of eliminating drift phenomena.The advantages of the algorithm were verified through new global and local parameters defined in the paper.
引文
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[10]林颖,常永贵,李文举.基于一种新阈值函数的小波阈值去噪研究[J].噪声与振动控制,2008(1):79-81.
[11]Chawla M M,Al-Zanaidi M A,Evans D J.Non-dissipative time-integration schemes for the linear advection equation[J].International Journal of Computers Mathematics,2000,73(4):503-515.
[2]霍永基,王湘均,费骥鸣.爆破地震效应及安全评定方法[A].北京:冶金工业出版社,1985.
[3]卢文波,赖世骧.关于爆破震动速度和加速度等效性问题的讨论[J].爆破,2000,17(增1):11-15.
[4]王济.MATLAB在振动信号处理中的应用[M].北京:中国水利水电出版社,2006.
[5]蒋良潍,姚令侃,吴伟.边坡振动台模型实验动位移的加速度时程积分探讨[J].防灾减灾工程学报,2009,29(3):261-266.
[6]Ding J,Ding F.The residual based extended least squares identification method for dual-rate systems[J].Computers&Mathematics with Applications,2008,56(6):1479-1487.
[7]Norden E,Huang Z S,Steven R L,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc.R.Soc.Lond.A.,1998,454:899-995.
[8]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[9]中华人民共和国国家质量监督检验检疫总局.GB6722-2003爆破安全规程[S].2003.
[10]林颖,常永贵,李文举.基于一种新阈值函数的小波阈值去噪研究[J].噪声与振动控制,2008(1):79-81.
[11]Chawla M M,Al-Zanaidi M A,Evans D J.Non-dissipative time-integration schemes for the linear advection equation[J].International Journal of Computers Mathematics,2000,73(4):503-515.
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