Application of iterative generalized short-time Fourier transform to fault diagnosis of planetary gearboxes
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摘要: 短時Fourier變換(STFT)在分析非平穩信號的過程中,受調制系數的影響,時頻分布圖中的能量擴散至主導頻率的周圍,降低了時頻分布的可讀性.運用STFT分析瞬時頻率緩變或恒定的信號時,調制系數的影響較小甚至可以忽略不計,而得到能量聚集程度很高的時頻分布.根據這一特點,提出了迭代廣義短時Fourier變換(IG-STFT),該方法有效改善了時頻圖的可讀性.首先運用迭代廣義解調分離出頻率恒定的單分量成分,然后運用STFT分析信號的時頻分布,最后依據STFT的分析結果和相位函數得到原信號的時頻分布.通過行星齒輪箱仿真信號和實驗信號分析,驗證了該方法在分析非平穩信號中的有效性,準確診斷了齒輪故障.Abstract: Due to the effect of the modulation part, the energy diffuses around the surrounding area of dominating frequencies and diminishes the readability of the time-frequency representation when short-time Fourier transform (STFT) is used to process nonstationary signals. However, when the instantaneous frequency slowly changes or is constant, the effect is small and can even be neglected. Thus, the time-frequency representations have high-energy concentration. Based on this feature, a novel method called iterative generalized short-time Fourier transform (IG-STFT) was proposed, which improved the readability of the time-frequency representation. First, the stationary mono-components are separated using iterative generalized demodulation. Then, the time-frequency representations of each mono-component are acquired using STFT. Finally, the time-frequency representation of the original signal is obtained according to the analysis results of STFT and the phase function. The analysis results of a planetary gearbox simulation signal and experimental signals verify the effectiveness of this method for analyzing nonstationary signals and diagnosing gear faults.
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參考文獻
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