Dynamic modeling and vibration characteristics of a two-stage closed-form planetary gear train

Zhang, Lina; Wang, Yong; Wu, Kai; Sheng, Ruoyu; Huang, Qilin

doi:10.1016/j.mechmachtheory.2015.10.006

Cited by 68 publications

(29 citation statements)

References 33 publications

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“…Hidaka et al [4], using the spring-mass equivalent model, analysed the transmission accuracy of 2K-V small tooth difference gear pairs. In order to increase modelling realism, Zhang et al [5] established a translational-rotational coupled dynamic model that was linearly time-invariant to predict the vibration modes and natural frequencies. Xu et al [6] also developed a dynamic model, which integrated gearbox body flexible supporting stiffness, to investigate how gearbox body flexibility influenced on the dynamic response and load sharing among the planetary gears.…”

Section: Introductionmentioning

confidence: 99%

Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation

Wang¹,

Su²,

Zou³

2020

SV-JME

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In this paper, the formula of non-load transmission error (TE) and time-varying backlash is derived through the incremental meshing line method based on the eccentricity error model of 2K-V gear pair with small tooth difference. Considering the influence of uneven load contact between two gear pairs with small tooth difference, the static transmission error (STE) of a 2K-V gear pair with small tooth difference is deduced. This work helps to predict the TE caused by eccentricity error and provide inference to compensate backlash. Also, we establish the nonlinear dynamic model of 2K-V small tooth difference under eccentricity excitation, in which non-linear factors such as non-uniform load, time-varying backlash, transmission error and contact stiffness are considered, and validated the theoretical model by comparing the dynamic transmission error in simulation and in theory. Furthermore, the transmission error of the 2K-V gear reducer was tested, and the test results further verified the uneven load contact phenomenon of the gear pair with small tooth difference in the meshing process. At the same time, the experimental transmission error frequency spectrum is consistent with the theoretical results, indicating that the transmission accuracy of the 2K-V reducer is mainly caused by the eccentricity error of the gear pair with small tooth difference. Finally, we optimized the initial eccentricity phase and predicted the minimum transmission error, providing theoretical guidance for the assembly of 2K-V small tooth difference gear pairs. Keywords: 2K-V reducer, nonlinear dynamics, transmission error, uneven load contact, eccentricity error Highlights • The formula of the non-load transmission error and time-varying backlash based on the eccentricity error model of a 2K-V gear pair with small tooth difference is derived. • The static transmission error of a 2K-V gear pair with small tooth difference involving the influence of uneven load contact is deduced. • The nonlinear dynamic model of a 2K-V small tooth difference under eccentricity excitation is established. • The simulation and experiment further validate the dynamic model and theory formula.

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Section: Introductionmentioning

confidence: 99%

Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation

Wang¹,

Su²,

Zou³

2020

SV-JME

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“…They showed that there are exactly two vibration mode types, called overall modes and planet modes. Zhang et al [8] presented a translational-rotational dynamic model of a twostage closed-form planetary gear to investigate the vibration 2 Shock and Vibration characteristics. It was found that the coupling-twist stiffness only had a significant impact on translational modes while the coupling-translational stiffness only affected rotational modes.…”

Section: Introductionmentioning

confidence: 99%

Lateral-Torsional Coupling Characteristics of a Two-Stage Planetary Gear Rotor System

Wang

Liu

Guo

et al. 2018

Shock and Vibration

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Planetary gears are one part of the whole transmission chain, and the dynamics and vibration characteristics of them are strongly coupled with external rotors. In this paper, to demonstrate the interaction between multistage planetary gears and external rotors as well as investigate the lateral-torsional coupling characteristics of them, a coupling model of a two-stage planetary gear rotor system is proposed. In such a model, the two-stage planetary gear subsystem is established as a lumped-parameter model and the external rotor subsystem is established as a finite element model. The vibration mode distribution properties and lateral-torsional coupling characteristics are both analyzed by modal strain energy. Three different conditions are considered: uncoupled, partially coupled, and fully coupled. The results indicate that the coupling among multiple subsystems and the lateral-torsional coupling mainly exist in the low-mode region. Natural frequencies dominated by the two-stage planetary gear subsystem are sensitive to coupled conditions, whereas natural frequencies dominated by the input rotor subsystem are remarkably insensitive to coupled conditions. Furthermore, the natural frequency of the first torsional mode can be obtained only in the fully coupled condition. Experiments are implemented to obtain natural frequencies, and the experiment results validate the numerical results.

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“…In the event of failure, it will cause huge economic losses and casualties. Therefore, technology that can diagnose its faults is highly valued [1][2][3]. Among them, the prompt fault diagnosis of the bearing is particularly important, and the bearing system's faults mainly occur in the inner race, outer race, and rolling elements.…”

Section: Introductionmentioning

confidence: 99%

Weak Fault Diagnosis of Wind Turbine Gearboxes Based on MED-LMD

Wang

Kou

et al. 2017

Entropy

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Abstract:In view of the problem that the fault signal of the rolling bearing is weak and the fault feature is difficult to extract in the strong noise environment, a method based on minimum entropy deconvolution (MED) and local mean deconvolution (LMD) is proposed to extract the weak fault features of the rolling bearing. Through the analysis of the simulation signal, we find that LMD has many limitations for the feature extraction of weak signals under strong background noise. In order to eliminate the noise interference and extract the characteristics of the weak fault, MED is employed as the pre-filter to remove noise. This method is applied to the weak fault feature extraction of rolling bearings; that is, using MED to reduce the noise of the wind turbine gearbox test bench under strong background noise, and then using the LMD method to decompose the denoised signals into several product functions (PFs), and finally analyzing the PF components that have strong correlation by a cyclic autocorrelation function. The finding is that the failure of the wind power gearbox is generated from the micro-bending of the high-speed shaft and the pitting of the #10 bearing outer race at the output end of the high-speed shaft. This method is compared with LMD, which shows the effectiveness of this method. This paper provides a new method for the extraction of multiple faults and weak features in strong background noise.

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Dynamic modeling and vibration characteristics of a two-stage closed-form planetary gear train

Cited by 68 publications

References 33 publications

Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation

Uneven Load Contact Dynamic Modelling and Transmission Error Analysis of a 2K-V Reducer with Eccentricity Excitation

Lateral-Torsional Coupling Characteristics of a Two-Stage Planetary Gear Rotor System

Weak Fault Diagnosis of Wind Turbine Gearboxes Based on MED-LMD

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