基于线调频小波路径追踪的阶比双谱分析方法

罗洁思;于德介;彭富强

振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 33-37.

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PDF(1452 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (9) : 33-37.
论文

基于线调频小波路径追踪的阶比双谱分析方法

  • 罗洁思;于德介; 彭富强

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The Order Bispectrum Analysis Based on Chirplet Path Pursuit

  • Luo Jiesi;Yu Dejie;Peng Fuqiang
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摘要

摘要:为了将双谱用于转速波动下的齿轮故障诊断,提出了一种基于线调频小波路径追踪的阶比双谱分析方法。该方法首先将分析信号的时间跨度在不同尺度下进行等分,形成不同的时间支撑区,然后用多尺度线调频基函数对信号进行投影分解,通过从不同的时间支撑区内投影系数最大的基函数中寻找出使分解信号能量最大的基元函数组合,获得信号包含的能量最大的信号分量,进而得到齿轮啮合频率分量的估计,最后将啮合频率除以齿轮的齿数得到齿轮的转速信号,根据提取的转速信号对时域振动信号进行等角度重采样,对重采样信号进行双谱分析即得到阶比双谱。仿真分析表明,该方法能在低信噪比条件下准确提取转速信号,从而使得双谱估计能合理应用于转速波动下的齿轮故障诊断,应用实例进一步验证了阶比双谱的有效性和优

Abstract

Abstract:In order to perform faults detection of gears with the rotational speed fluctuations using the bispectrum analysis, a novel order bispectrum analysis method based on chirplet path pursuit is proposed. In this method, firstly, the time span of signals is divided equally under different scales, resulting in different support regions of time. Then, it projects the vibration signals onto the multi-scale chirplet base functions. By finding the combination of basis functions with the largest projection coefficient, the signal component with the largest energy of the original vibration signal is acquired, as well as the estimation of the gear meshing frequency component. Thirdly, the gear rotational speed signal is obtained by dividing the gears meshing frequency by the number of teeth. At last, according to extracted rotational speed signal, the vibration signal at constant angle increments is resampled. The order spectrum then is acquired by analyzing the resampled signals with bispectrum. The simulation experiment results show that the proposed method can accurately extract the rotational speed signal with low signal-to-noise ratio, proving that the bispectrum estimation of the gear fault signal under the rotational speed undulation is reasonable. The further experiments in applications confirm the validity and the superiority of the proposed bispectrum analysis.

关键词

双谱分析 / 线调频小波 / 阶比跟踪 / 故障诊断 / 信噪比

Key words

Bispectrum analysis / Chirplet / Order tracking / Fault diagnosis / Signal-to-noise rat

引用本文

导出引用
罗洁思;于德介;彭富强. 基于线调频小波路径追踪的阶比双谱分析方法[J]. 振动与冲击, 2010, 29(9): 33-37
Luo Jiesi;Yu Dejie;Peng Fuqiang. The Order Bispectrum Analysis Based on Chirplet Path Pursuit [J]. Journal of Vibration and Shock, 2010, 29(9): 33-37

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