Influence of manufacturing errors on the dynamic behavior of planetary gears

Chaari, Fakher; Fakhfakh, Tahar; Hbaieb, R; Louati, Jamel; Haddar, Mohamed

doi:10.1007/s00170-004-2240-2

Cited by 122 publications

(53 citation statements)

References 13 publications

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“…The term transmission error is represented in form of a mathematical expression as shown in eqn. 6, Transmission Error = θs -(i) * θc (6) Where: θs is angular rotation of input gear (sun gear), rad θc is angular rotation of output gear (Carrier gear), rad i is the velocity ration of the planetary gear…”

Section: Error Modelling and Rigid Body Simulation For Transmission Ementioning

confidence: 99%

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

2018

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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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Section: Error Modelling and Rigid Body Simulation For Transmission Ementioning

confidence: 99%

“…These vibration characteristics are analysed by condition monitoring of planetary gearbox to identify errors under dynamic conditions [4]. In addition to these, the dynamic response of the planetary gear significantly changes with stiffness of the pins [5] and eccentricity of gears [6].…”

Section: Introductionmentioning

confidence: 99%

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

2018

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“…Then, the IMF in the time domain u k (t) can be obtained by inverse Fourier transforming Equation (5) and taking the real part. The center frequency ω k associated with each IMF u k (t) can also be updated as a solution to a minimization problem equivalent to Equation (3)…”

Section: Variational Mode Decompositionmentioning

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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“…The first type analysis mainly focuses on gear nature frequency and mode analysis [7][8][9][10][11][12]. The second type analysis is to analyze vibration properties of individual gears or dynamic forces of a gear pair among a planetary gear set [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. In the first two types of analysis, the effect of gear transmission path is not considered.…”

Section: Optionmentioning

confidence: 99%

Dynamics-Based Vibration Signal Modeling for Tooth Fault Diagnosis of Planetary Gearboxes

Liang¹,

Zuo²,

Chen³

2017

Fault Diagnosis and Detection

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Vibration analysis has been widely used to diagnose gear tooth fault inside a planetary gearbox. However, the vibration characteristics of a planetary gearbox are very complicated. Inside a planetary gearbox, there are multiple vibration sources as several sunplanet gear pairs, and several ring-planet gear pairs are meshing simultaneously. In addition, due to the rotation of the carrier, distance varies between vibration sources and a transducer installed on the planetary gearbox housing. Dynamics-based vibration signal modeling techniques can simulate the vibration signals of a planetary gearbox and reveal the signal generation mechanism and fault features effectively. However, these techniques are basically in the theoretical development stage. Comprehensive experimental validations are required for their future applications in real systems. This chapter describes the methodologies related to vibration signal modeling of a planetary gear set for gear tooth damage diagnosis. The main contents include gear mesh stiffness evaluation, gear tooth crack modeling, dynamic modeling of a planetary gear set, vibration source modeling, modeling of transmission path effect due to the rotation of the carrier, sensor perceived vibration signal modeling, and vibration signal decomposition techniques. The methods presented in this chapter can help understand the vibration properties of planetary gearboxes and give insights into developing new signal processing methods for gear tooth damage diagnosis.

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Influence of manufacturing errors on the dynamic behavior of planetary gears

Cited by 122 publications

References 13 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

Dynamics-Based Vibration Signal Modeling for Tooth Fault Diagnosis of Planetary Gearboxes

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