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    Fault Diagnosis of Harmonic Drive With Imbalanced Data Using Generative Adversarial Network
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    Abstract:
    Harmonic drive is the core component of the industrial robot, and its fault diagnosis is crucial to the reliability and performance of the equipment. Most machine learning methods achieve good results based on the assumption of data balance. However, the scarce fault data of harmonic drive is difficult to collect, resulting in various imbalanced health status samples, which has an adverse effect on fault diagnosis. In this article, we propose a data generation method based on generative adversarial networks (GANs) to solve the problem of data imbalance and utilize the multiscale convolutional neural network (MSCNN) to realize the fault diagnosis of the harmonic drive. First, the data collected from three vibration acceleration sensors are preprocessed by fast Fourier transform (FFT) to obtain the frequency spectrum of the vibration signal. Second, multiple GANs were adopted to generate various fault spectrum data and the data selection module (DSM) is elaborately designed to filter and purify these data. Third, the filtered generated data will be combined with the real data to form a balanced dataset, and then the MSCNN is used to achieve multiclassification of the health status of the harmonic drive. Finally, the experiments have been implemented on an industrial robot vibration test bench to validate the effectiveness of our approach. The results have shown the fault multiclassification accuracy as 98.49% under imbalanced fault data conditions, which outperforms that of the other compared methods.
    Keywords:
    Harmonic
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    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
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    Split-radix FFT algorithm
    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
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    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
    Cooley–Tukey FFT algorithm
    Implementation
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    Split-radix FFT algorithm
    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
    The efficient Fourier transform (EFT) and FFT algorithms are described and their computational efficiencies with respect to the direct method are discussed. An efficient procedure is proposed for the reordering of data set; the use of EFT algorithm for the initial Fourier transforms and restricting the size of final subsets to not less than 4 is also suggested for saving computation time in the FFT. It is found that on average the FFT with the proposed modifications is more than twice as fast as the original FFT. The amount of overhead operations involved in computer routine, based on the modified FFT is estimated.
    Split-radix FFT algorithm
    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
    Cooley–Tukey FFT algorithm
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    Prime-factor FFT algorithm
    Rader's FFT algorithm
    Twiddle factor
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