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| The Order Bispectrum Analysis Based on Chirplet Path Pursuit |
| Luo Jiesi;Yu Dejie;Peng Fuqiang |
| State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082 |
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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.
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Received: 04 March 2009
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2010, Vol. 29 
