Abstract

Given local weak feature information, a novel feature extraction and fault diagnosis method for planetary gears based on variational mode decomposition (VMD), singular value decomposition (SVD), and convolutional neural network (CNN) is proposed. VMD was used to decompose the original vibration signal to mode components. The mode matrix was partitioned into a number of submatrices and local feature information contained in each submatrix was extracted as a singular value vector using SVD. The singular value vector matrix corresponding to the current fault state was constructed according to the location of each submatrix. Finally, by training a CNN using singular value vector matrices as inputs, planetary gear fault state identification and classification was achieved. The experimental results confirm that the proposed method can successfully extract local weak feature information and accurately identify different faults. The singular value vector matrices of different fault states have a distinct difference in element size and waveform. The VMD-based partition extraction method is better than ensemble empirical mode decomposition (EEMD), resulting in a higher CNN total recognition rate of 100% with fewer training times (14 times). Further analysis demonstrated that the method can also be applied to the degradation recognition of planetary gears. Thus, the proposed method is an effective feature extraction and fault diagnosis technique for planetary gears.

Highlights

  • Because of their small size, reduced weight, and large transmission ratio advantages, planetary gear transmissions are widely used in large-scale complex mechanical systems under low speed and heavy load conditions [1]

  • A planetary gear transmission is more complex compared with a gear transmission with fixed axes, and its vibration signal has more intense nonlinear and nonstationary characteristics due to the influences of different working conditions, different errors, transmission paths, and other factors [2,3]

  • Heavy load machinery typically includes poor working conditions that cause strong noise interference in the process of vibration signal acquisition. These factors cause fault feature information to be obscured by noise during early stage planetary gear faults and increase the difficulty of fault feature extraction

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Summary

Introduction

Because of their small size, reduced weight, and large transmission ratio advantages, planetary gear transmissions are widely used in large-scale complex mechanical systems under low speed and heavy load conditions [1]. When using SVD to process gear vibration signals, the general approach involves constructing a Hankel matrix of the original signal or IMF containing main fault feature information, and obtaining singular values by SVD to extract information or reconstruct the signal without noise [20,21]. In this process, weak fault feature information can be eliminated or lost, which can influence the accuracy of subsequent diagnosis. The remainder of this paper is composed as follows: In Section 2, the mathematical model of partition fault feature information extraction of planetary gears based on VMD and SVD is established.

Model Establishment
Variational Mode Decomposition
Singular Value Decomposition
Partition Fault Feature Extraction
Convolutional Neural Network
Test Equipment and Data Acquisition
Experimental
The time-domain of the vibrationgears of uniaxial sensor
EEMD results of gear withwith breakage:
D2 D2 C3
Application in Degradation Recognition of Planetary Gears
45 Hzin and the shown other parameters were setdifferences the same asininthe
Conclusions
Full Text
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