Condition monitoring and fault diagnosis of planetary gearboxes: A review

Abstract.Planetary gearbox is used in high precision applications such as robotic arm, control system of antenna, positioning and radar tracking systems. Planetary gearbox have high torque-to-weight ratio, high degree of control over the speed range and better efficiency. Most of the literatures assume that the gearbox are free from errors. Errors significantly affect the dynamic characteristics of the gearbox. The major challenge is to model these errors and study its behaviour under dynamic condition. The simulation results of time domain signal when converted to frequency domain signal, it shows the presence of error in the gearbox. Also, simulation result indicates a non-uniform motion of planetary gearbox in the presence of errors.

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“…These pass frequencies are exactly 7 Hz on either side of mesh frequencies. These frequencies are calculated based on a literature [11].…”

Section: Resultsmentioning

confidence: 99%

Numerical simulation of time-invariant error and its effect on planetary gearbox dynamics

2018

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“…2017, 7, 775 5 of 19 where δ(·) is the Dirac delta function, the symbol * denotes the convolution operator, and K is the number of IMFs to be extracted. To render the optimization problem, Equation (2), into an unconstrained form, a quadratic penalty term and a Lagrangian multiplier are introduced, for quick convergence and strict enforcement of the constraint. Then, the objective function to be minimized becomes an augmented Lagrangian …”

Section: Variational Mode Decompositionmentioning

confidence: 99%

“…Planetary gearboxes are widely employed in many engineering systems, such as helicopters and wind turbines, for their unique merits of high load bearing capacity and large transmission ratio in a compact structure [1][2][3]. Since planetary gearboxes are usually key units in drivetrains, it is vital to feature in a more effective way.…”

Section: Introductionmentioning

confidence: 99%

Planetary Gearbox Fault diagnosis via Joint Amplitude and Frequency Demodulation Analysis Based on Variational Mode Decomposition

2017

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Abstract:Planetary gearbox vibration signals have strong modulation features due to the amplitude modulation and frequency modulation (AM-FM) effect of gear faults, as well as the amplitude modulation (AM) effect of time-varying vibration transfer paths, on gear meshing vibrations. This results in an involute sidebands structure in Fourier spectrum, possibly misleading fault diagnosis. The modulating frequency of both amplitude modulation (AM) and frequency modulation (FM) parts is closely related to the gear fault characteristic frequency. This inspires the idea of joint amplitude and frequency demodulation analysis, thus addressing the complex sidebands issue inherent in Fourier spectrum. Demodulation analysis requires mono-component signals for accurate estimation of instantaneous frequency, and proper selection of an AM-FM component sensitive to gear fault. To this end, we firstly decompose the complex signal into intrinsic mode functions (IMFs) via variational mode decomposition (VMD), by exploiting its capability in decomposing complex modulated signal into constituent AM-FM components. For effective application of VMD in complex planetary gearbox signal analysis, we propose a method to determine a key parameter in VMD, i.e., the number of IMFs to be separated. For accurate instantaneous frequency estimation, we decompose IMFs via empirical AM-FM decomposition, to remove the influence of AM on instantaneous frequency estimation. Then, we select the sensitive IMF that contains the main gear fault information for further demodulation analysis. In order to properly select the sensitive IMF, we propose a criterion based on the gear vibration characteristics and the VMD properties. Finally, we obtain the amplitude and frequency demodulated spectra by applying Fourier transform to the amplitude envelope and instantaneous frequency of the selected sensitive IMF. According to the characteristics exhibited in the demodulated spectra, we can detect planetary gearbox fault. The proposed method is illustrated via a numerical simulated planetary gearbox vibration signal, and is further validated using lab experimental vibration signals of a planetary gearbox. Faults on all the three types of gear (sun, planet and ring) are successfully identified.

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“…Generally, tooth damage often shows a reduction in gear mesh stiffness and causes the effective capability for bearing load decreasing. Therefore, the severity of tooth damage can be assessed by investigating the reduction of TVGS in gear meshing [3,4]. In the field of damage mechanism analysis, dynamic modeling of a gear system with simulated faults has been a promising way.…”

Section: Introductionmentioning

confidence: 99%

A new model for calculating time-varying gearmesh stiffness

Lei¹,

Wang²,

Liu³

et al. 2017

Vib. proced.

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Abstract. Time-varying gearmesh stiffness (TVGS) is the main cause of gear vibration, and its accuracy affects the responses of dynamic models. An exponential curve model based on the Saint Venant's Principle is proposed to calculate the gearmesh stiffness of cracked spur gears in this paper. With the proposed model, the TVGS under the circumstances of healthy condition and four crack cases are computed, whose results have a good agreement with those of finite element method (FEM). Therefore, the exponential curve model can be used to estimate the TVGS and an alternative to FEM in gearmesh stiffness calculation is provided.

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Condition monitoring and fault diagnosis of planetary gearboxes: A review

Cited by 577 publications

References 72 publications

Numerical simulation of time-invariant error and its effect on planetary gearbox dynamics

Numerical simulation of time-invariant error and its effect on planetary gearbox dynamics

Planetary Gearbox Fault diagnosis via Joint Amplitude and Frequency Demodulation Analysis Based on Variational Mode Decomposition

A new model for calculating time-varying gearmesh stiffness

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