基于ASTFA和SDEO解调的行星齿轮箱故障诊断方法
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摘要
针对行星齿轮箱故障信号的调制特点,提出基于自适应最稀疏时频分析(Adaptive and Sparsest TimeFrequency Analysis,ASTFA)和对称差分能量算子(Symmetric Difference Energy Operator,SDEO)相结合的解调方法,用于提取故障信号的瞬时幅值和瞬时频率信息。采用ASTFA方法分解行星齿轮箱故障信号,得到若干个单分量信号,采用SDEO进行解调,得到各单分量信号的瞬时幅值和瞬时频率,并计算得到包络谱。采用该方法分析行星齿轮箱故障仿真信号和故障实际信号,结果表明,该方法能准确地提取故障特征,实现行星齿轮箱故障诊断。
According to the modulation characteristics of fault signals of planetary gearboxes, a demodulation method based on adaptive and sparsest time-frequency analysis(ASTFA) and symmetric difference energy operator(SDEO) is proposed to extract instantaneous amplitude and instantaneous frequency information of the fault signals. Firstly, the fault signals of the planetary gearboxes are decomposed into several mono-component signals by ASTFA method. Then, SDEO method is used to demodulate the mono-component signals. Consequently, the instantaneous amplitudes and the instantaneous frequencies of the mono-component signals can be obtained and the envelope spectra can be worked out. This method can be effectively applied to analyze simulative fault signals and actual fault signals of planetary gearboxes. The analysis results prove that the fault features can be extracted accurately and the faults of the planetary gearboxes can also be diagnosed by this method.
According to the modulation characteristics of fault signals of planetary gearboxes, a demodulation method based on adaptive and sparsest time-frequency analysis(ASTFA) and symmetric difference energy operator(SDEO) is proposed to extract instantaneous amplitude and instantaneous frequency information of the fault signals. Firstly, the fault signals of the planetary gearboxes are decomposed into several mono-component signals by ASTFA method. Then, SDEO method is used to demodulate the mono-component signals. Consequently, the instantaneous amplitudes and the instantaneous frequencies of the mono-component signals can be obtained and the envelope spectra can be worked out. This method can be effectively applied to analyze simulative fault signals and actual fault signals of planetary gearboxes. The analysis results prove that the fault features can be extracted accurately and the faults of the planetary gearboxes can also be diagnosed by this method.
引文
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[2]HUANG N E,SHEN Z,LONG S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and nonstationary time series analysis[C].Proceedings of the Royal Society of London,Series A,1998;454:903-995.
[3]XU GUAN LEI,WANG XIAO TONG,XU XIAO GANG.Time-varying frequency-shifting signal-assisted empirical mode decomposition method for AM-FM signals[J].Mechanical Systems and Signal Processing,2009,23(8):2458-2469.
[4]LEI YA GUO,HE ZHENG JIA,ZI YAN YANG.Application of the EEMD method to rotor fault diagnosis[J].Mechanical Systems and Signal Processing,2009,23:1327-1338.
[5]郑近德,程军圣,曾鸣,等.基于伪极值点假设的经验模态分解及其在转子故障诊断中的应用[J].中国机械工程,2014,25(18):2467-2472.
[6]HOU THOMAS Y,SHI ZUO QIANG.Adaptive data analysis via sparse time-frequency representation[J].Advances in Adaptive Data Analysis,2011,3(1,2):1-28.
[7]HOU THOMAS Y,SHI ZUO QIANG.Data-driven time–frequency analysis[J].Applied and Computational Harmonic Analysis,2013,35(2):284-308.
[8]RANDALL R B.A new method of modeling gear faults.Journal of Mechanical Design.1982,104:259-67.
[9]M C FADDEN P D.Detecting fatigue cracks in gears by amplitude and phase demodulation of the meshing vibration[J].Journal of Vibration Acoustics Stress and Reliability in Design-Transactions of the ASME,1986,108:165-170.
[10]黄椒治,林慧斌,丁康.基于广义解调平滑能量分离算法的瞬时频率估计[J].振动工程学报,2014,27(2):281-288.
[11]孟宗,李珊珊,季艳.基于对称差分能量算子解调的局部均值分解端点效应抑制方法[J].机械工程学报,2014,50(13):80-87.
[12]孟宗,季艳.基于DEMD和对称差分能量算子解调的滚动轴承故障诊断[J].中国机械工程,2015,26(12):1658-1664.
[13]MARAGOS P,KAISER JF,QUATIERI TF.On amplitude and frequency demodulation using energy operators[J].IEEE Transactions on Signal Processing,1993,41(4):1532-1550.
[14]HOU THOMAS Y,SHI ZUO QIANG,PEYMAN TAVALLALI.Convergence of a data-driven timefrequency analysis method[J].Applied and Computational Harmonic Analysis,2014,37(2):235-270.