Simulating the dynamic behavior of planetary gearbox based on improved Hanning function

Graja, Oussama; Zghal, Bacem; Dziedziech, Kajetan; Chaari, Fakher; Jabłoński, Adam; Barszcz, Tomasz; Haddar, Mohamed

doi:10.1016/j.crme.2018.09.006

Cited by 15 publications

(7 citation statements)

References 35 publications

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“…is a real stationary discrete stochastic process, which is finite and has a mean of zero. Its third order cumulant can be defined as Equation (5).…”

Section: The Bispectrum and Adaptive Bispectrum Slicementioning

confidence: 99%

“…[4], each order of the harmonic frequency of the sun gear exists while it is floating. The total energy created by the meshing between the sun gear and the planetary gear is constant [5]. In order to simplify the calculation, the vibration of the sun gear can be supposed as Equation (10).…”

Section: Fault Symptoms Representation Of Fault Characteristic Energymentioning

confidence: 99%

“…Vibration measurement is one of the most widely-used approaches to monitor and diagnose the health of a PG [4]. In a PG, planetary gears rotate not only on themselves, but around the sun gear at the same time [5]. This rotation manner gives rise to a unique, complex and mutually modulated performance in the vibration signal of the PG.…”

Section: Introductionmentioning

confidence: 99%

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Fault Diagnosis of Planetary Gearbox Based on Adaptive Order Bispectrum Slice and Fault Characteristics Energy Ratio Analysis

Shen

Shi

Zhen

et al. 2020

Sensors

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The vibration of a planetary gearbox (PG) is complex and mutually modulated, which makes the weak features of incipient fault difficult to detect. To target this problem, a novel method, based on an adaptive order bispectrum slice (AOBS) and the fault characteristics energy ratio (FCER), is proposed. The order bispectrum (OB) method has shown its effectiveness in the feature extraction of bearings and fixed-shaft gearboxes. However, the effectiveness of the PG still needs to be explored. The FCER is developed to sum up the fault information, which is scattered by mutual modulation. In this method, the raw vibration signal is firstly converted to that in the angle domain. Secondly, the characteristic slice of AOBS is extracted. Different from the conventional OB method, the AOBS is extracted by searching for a characteristic carrier frequency adaptively in the sensitive range of signal coupling. Finally, the FCER is summed up and calculated from the fault features that were dispersed in the characteristic slice. Experimental data was processed, using both the AOBS-FCER method, and the method that combines order spectrum analysis with sideband energy ratio (OSA-SER), respectively. Results indicated that the new method is effective in incipient fault feature extraction, compared with the methods of OB and OSA-SER.

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“…is a real stationary discrete stochastic process, which is finite and has a mean of zero. Its third order cumulant can be defined as Equation (5).…”

Section: The Bispectrum and Adaptive Bispectrum Slicementioning

confidence: 99%

Section: Fault Symptoms Representation Of Fault Characteristic Energymentioning

confidence: 99%

See 1 more Smart Citation

Fault Diagnosis of Planetary Gearbox Based on Adaptive Order Bispectrum Slice and Fault Characteristics Energy Ratio Analysis

Shen

Shi

Zhen

et al. 2020

Sensors

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show abstract

“…Subsequently, faulty impact signals x spi_fault (t) and x pri_fault (t) can be established. Finally, the overall vibration signal x(t) of the gearbox will change from equation (28) to (41).…”

Section: Local Fault Conditionmentioning

confidence: 99%

“…Therefore, many scholars have conducted a lot of research on the meshing stiffness and established various stiffness models. Because of its advantage of simplicity, the analytical method (AM) is widely used [6,[27][28][29]. However, this method needs to estimate the average value of stiffness and ignores the timevarying characteristics of the meshing stiffness.…”

Section: Introductionmentioning

confidence: 99%

An Improved Phenomenological Model of the Planetary Gearbox Based on Meshing Vibration Characteristics

Luo

Cui

2020

IEEE Access

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With the construction of periodic functions relative to the meshing frequency, rotating frequency, and the faulty frequency, etc., the phenomenological model provides a simple and effective way of representing the vibration signal of the planetary gearbox. However, due to that the meshing vibration is simplified, the traditional model can only reflect the modulation characteristic of the signal, but not the impact characteristic. Therefore, an improved phenomenological model is proposed, which can satisfy these two characteristics of the vibration signal at the same time. To consider the meshing vibration correctly, two key points should be determined: occurring moment of impact signals, and their relative amplitudes. In order to calculate the occurring time, this paper proposes modifying the reference point of the meshing phase and using the modified phases to represent it. Then two experiments are designed to verify the correctness of the modified phases and the occurring moment. Fortunately, these experimental results also provide a factual basis for determining the relative amplitudes of these impact signals. Subsequently, signal model of the gearbox in the healthy state is established based on the meshing vibration characteristics. The simulation results show that the new model can satisfy the modulation and impact characteristics. In addition, combined with the time-varying meshing stiffness of the gear pair, the paper theoretically analyzes the influence of fault type, location, and size on the impact frequency in a fault meshing period. Finally, the correctness of the new phenomenological model is verified by experiments.

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Modeling the Transmission Path in a Planetary Gearbox: A Comparison of Two Methods

Graja

Ghorbel

Chaari

et al. 2020

Lecture Notes in Mechanical Engineering

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Simulating the dynamic behavior of planetary gearbox based on improved Hanning function

Cited by 15 publications

References 35 publications

Fault Diagnosis of Planetary Gearbox Based on Adaptive Order Bispectrum Slice and Fault Characteristics Energy Ratio Analysis

Fault Diagnosis of Planetary Gearbox Based on Adaptive Order Bispectrum Slice and Fault Characteristics Energy Ratio Analysis

An Improved Phenomenological Model of the Planetary Gearbox Based on Meshing Vibration Characteristics

Modeling the Transmission Path in a Planetary Gearbox: A Comparison of Two Methods

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