Background <p>A gearbox is a torque transmitting unit, in other words, a non-linear dynamic system consisting of gear pairs, bearings, and shafts. In a vibration signal, the effects of gear tooth faults reflect modulations and appear as sidebands in the frequency spectrum. Similarly, bearing faults exhibit modulations, too.</p> Purpose <p>Thus, when multiple faults co-occur in bearing, the compounding effect is termed compound faults. The sidebands in the resulting vibration signal will be difficult to investigate due to interference, and hence, specialized techniques are required to solve such problems.</p> Approach and Results <p>An investigation considering the compound fault occurring in a rotating machine is presented in this work. This paper proposes a fault detection approach based on variational mode decomposition and autocorrelation for compound faults. VMD demodulates the vibration signal, thereby attenuating the effect of spurious noise; however, the low-frequency component related to individual faults is unidentifiable. Therefore, autocorrelation analysis and estimation of the correlation coefficient of the extracted variational mode functions (VMFs) was performed, followed by the sparsity analysis using the Hoyer Index and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:\:{l}_{2}/{l}_{1}\)</EquationSource> </InlineEquation>Norm of the most sensitive VMFs to exhibit the fault.</p> Conclusion <p>It was noted that the proposed approach attempts to solve the problem of complex oscillation characteristics and mutual interference between multiple bearing faults. The result suggests that the proposed approach is practical in diagnosing the compound fault.</p>

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Sparse Frequency Representation Using Autocorrelation of Variational Mode Functions to Detect Compound Fault in Rotating Machines

  • Vikas Sharma

摘要

Background

A gearbox is a torque transmitting unit, in other words, a non-linear dynamic system consisting of gear pairs, bearings, and shafts. In a vibration signal, the effects of gear tooth faults reflect modulations and appear as sidebands in the frequency spectrum. Similarly, bearing faults exhibit modulations, too.

Purpose

Thus, when multiple faults co-occur in bearing, the compounding effect is termed compound faults. The sidebands in the resulting vibration signal will be difficult to investigate due to interference, and hence, specialized techniques are required to solve such problems.

Approach and Results

An investigation considering the compound fault occurring in a rotating machine is presented in this work. This paper proposes a fault detection approach based on variational mode decomposition and autocorrelation for compound faults. VMD demodulates the vibration signal, thereby attenuating the effect of spurious noise; however, the low-frequency component related to individual faults is unidentifiable. Therefore, autocorrelation analysis and estimation of the correlation coefficient of the extracted variational mode functions (VMFs) was performed, followed by the sparsity analysis using the Hoyer Index and \(\:\:{l}_{2}/{l}_{1}\) Norm of the most sensitive VMFs to exhibit the fault.

Conclusion

It was noted that the proposed approach attempts to solve the problem of complex oscillation characteristics and mutual interference between multiple bearing faults. The result suggests that the proposed approach is practical in diagnosing the compound fault.