Study on mesh stiffness and sensitivity analysis of planetary gear system considering the deformation effect of carrier and bearing

Yang, H. L.; Shi, Wenxiao; Guo, Lei; Yan-yan, Zhao; Yuan, Renfei

doi:10.1016/j.engfailanal.2022.106146

Cited by 10 publications

(3 citation statements)

References 36 publications

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“…Luo et al 19 found that the variation of gear center distance will lead to the change of mesh position and TVMS. Yang et al 20 proposed an analytical prediction method of mesh stiffness of single sun-planet-ring branch considering the effect of carrier’s and support bearing’s deformation. Cao et al 21 discovered that the TVMS is nonlinear with respect to the dynamic meshing force (DMF) during gear operation.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modeling of spur gear system considering the coupling effect between bearing deflection and gear mesh stiffness

Xu,

Yu,

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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Bearing deflection has a direct impact on the mesh condition of gear systems via the center distance of the gear pair and corner contact. These factors need to be considered to accurately model the time-varying mesh stiffness and dynamic responses of gears. To address this issue, a spatial coordinate conversion is used to obtain the instantaneous spatial position of the gear pair under the bearing deflection. The tooth pair separation distance is derived through the geometric relationship analysis to model the corner contact effect. A dynamic model is established which employs a step-to-step time integration algorithm that considers the coupling effect between bearing deflection and time-varying mesh stiffness to obtain the dynamic response of the spur gear system. The simulation results of the proposed model show good agreement with the experimental results which demonstrate that the proposed model enables a proper analysis of the influence of bearing deflection on gear mesh behavior. This study provides an original dynamic model for analyzing the dynamic performance of the gear system considering the influence of bearing deflection.

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Section: Introductionmentioning

confidence: 99%

Dynamic modeling of spur gear system considering the coupling effect between bearing deflection and gear mesh stiffness

Xu,

Yu,

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…However, the DE faces the challenge to extract more comprehensive features to identify the fault severities of planetary gearbox. This is because of the unique dynamic characteristics of planetary gearbox: the time-varying gear meshing position, multiple pairs of teeth meshing, and the complex transmission path (Yang et al, 2022). This results in the vibration response of planetary gearbox presenting significant modulation, time-varying and transient properties (Liu, 2022).…”

Section: Introductionmentioning

confidence: 99%

Fault severity identification of planetary gearbox based on refined composite multiscale diversity entropy

Chen,

Lu,

Wang

et al. 2024

Transactions of the Institute of Measurement and Control

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Planetary gearbox is a key component in modern industry. A sudden failure may cause disastrous consequences. Thus, accurately acquiring the fault severity can be of importance. Diversity entropy emerges as a promising feature extraction tool for monitoring the health condition. However, the original diversity entropy has the defect that the data length of multiple time series will shorten at deep scales, resulting in unstable complexity estimation at high scale. To overcome this defect, a new feature extraction method has been proposed named refined composite multiscale diversity entropy (RCMDE). The proposed RCMDE method combines moving average windows under each scale factor and the refined state probability to improve the statistical reliability, which allows the diversity entropy to explore more refined fault information hidden at deeper scales. The simulation and experiment results proved that the proposed method has the highest diagnostic accuracy with the best stability in fault severity identification of planetary gearbox.

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“…Taking a pair of helical gear as research object, Yang et al [12] took into account the time-varying backlash effect, and improved the traditional potential energy method, which was verified by FE method. And further, by considering the flexibility effect of planet bearing and carrier, the author proposed an analytical method for calculating the mesh stiffness of the planetary gear system, and the validity was proved through a full FE model [13]. In addition to the above studies, some researchers also made varying degrees of improvements to the traditional analytical method for other gear examples, and the correctness of different methods in dealing with different problems were verified by FE method [14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Yang,

Shi

et al. 2023

Preprint

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The mesh stiffness characteristics of the gear pair have direct effect on its transmission error, and then affect the noise and vibration level of the gear. To control the instability of gear meshing caused by tooth deformation, the tooth tip modification is an important mean, but it will undoubtedly introduce tooth profile errors. Firstly, considering the inconsistency between base circle and root circle under different tooth numbers, the potential energy method is improved to calculate the mesh stiffness of spur gear pair. Then, based on the theory of tooth tip modification and improved potential energy method, a new analytical method for mesh stiffness calculation considering tooth profile error is proposed. Taking a pair of spur gear as example, the finite element(FE) model is established, and the correctness of the proposed method is verified by comparing the time-varying mesh stiffness, mean stiffness, and peak-to-peak stiffness. The comparison results show that the method proposed in this paper can ensure high calculation accuracy while achieve lower computation cost. Finally, the sensitivity analysis is conducted on modification parameters including curve types, amount, and length. The influence of different parameters on mesh stiffness characteristics, bearing capacity, and noise problem is investigated.

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Study on mesh stiffness and sensitivity analysis of planetary gear system considering the deformation effect of carrier and bearing

Cited by 10 publications

References 36 publications

Dynamic modeling of spur gear system considering the coupling effect between bearing deflection and gear mesh stiffness

Dynamic modeling of spur gear system considering the coupling effect between bearing deflection and gear mesh stiffness

Fault severity identification of planetary gearbox based on refined composite multiscale diversity entropy

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

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