A refined analytical model for the mesh stiffness calculation of plastic gear pairs

Xu, Zhiliang; Yu, Wennian; Shao, Yimin

doi:10.1016/j.apm.2021.04.032

Cited by 25 publications

(5 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where, k h j (θ Xp , θ Xg ) is position- and load-dependent from the model in Xu et al, 18 k ai j (θ Xi ), k bi j (θ Xi ) and k si j (θ Xi ) can be calculated from Ma et al 16 θ Xj is the load angle at the meshing position, which is shown in Figure 4.…”

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

“…Using the iterative algorithm proposed in Xu et al, 18 the TVMS of the spur gear pair under a certain load can be obtained, and the details of the iterative algorithm can be referred to Xu et al 18…”

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

“…First, based on the gear system parameters, torque, and rotation speed, the initial TVMS k 0 of the spur gear pair at t = t 0 is calculated from the model built in Xu et al 18 Then, the DMF F m and the bearing deflection (i.e. x j and y j ) can be obtained by substituting k 0 into the dynamic model built-in section 3.4.…”

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

“…16 They introduced a correction factor for fillet-foundation deformation to reduce modeling errors caused by an overestimation of the stiffness induced by fillet-foundation during the meshing of multiple tooth pairs. 17 Xu et al 18 developed a mathematical model for the TVMS of plastic gears considering the influence of tooth deflection on mesh position and validated it by comparing it with finite element simulation results. Luo et al 19 found that the variation of gear center distance will lead to the change of mesh position and TVMS.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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:

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

Section: Dynamic Modeling Of Gear Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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:

Self Cite

View full text Add to dashboard Cite

show abstract

“…A comparison with FEM and experimental results was carried out to validate the method. Xu et al 27 evaluated the mesh stiffness of polymer gear pairs by taking into consideration the thermal and deflection behavior. An iterative, potential energy-based algorithm, which accounts for the actual mesh position, was developed for the analysis.…”

Section: Introductionmentioning

confidence: 99%

Influence of tooth asymmetry and mating gear material on the tooth deflection characteristics of polymer gears

Pandian

Gautam

Selvaraj

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Transmission error (TE) in polymer gears is significantly affected by the elastic deflection of meshing teeth. The present work describes the deflection characteristics of the asymmetric Nylon 66 spur gears under similar and dissimilar engagements. The load sharing and deflection behavior were estimated numerically using a linear viscoelastic material model. Experimental determination of mesh deflection was carried out through static load tests. The peak mesh deflection in a cycle for the 20°/34° configuration was found to be 8% and 12% smaller as compared to 34°/20° and 20°/20° configurations, respectively. The peak tooth deflection was found to be highest for the 34°/20° configuration and lowest for the 20°/34° configuration, with the deviation between their peak deflections being 15% in metal-polymer pairs and 17% in polymer-polymer pairs. In the 34°/20° configuration, the higher drive side pressure angle increased the single tooth contact period, causing greater peak-to-valley amplitude in a cycle. The negligible tooth compliance of steel gear caused unsymmetrical load sharing in the double tooth contact zones of metal-polymer engagements. The greater compliance of driver gear in polymer-polymer engagements increased the mesh deflections of 20°/20° and 20°/34° configurations by 45% and that of 34°/20° configuration by 37%. Also, gear pairs with similar material stiffness balanced the load sharing in the addendum and dedendum double tooth contact zones. The large tooth deflection extended the contact duration of all configurations for both the similar as well as for the dissimilar engagements, respectively. This was signified by the contact path extension at the peripheries of the mesh cycle.

show abstract

Dynamic modeling of the planetary gear set considering the effects of positioning errors on the mesh position and the corner contact

Yu²,

Shao³

et al. 2022

Nonlinear Dyn

View full text Add to dashboard Cite

A refined analytical model for the mesh stiffness calculation of plastic gear pairs

Cited by 25 publications

References 21 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

Influence of tooth asymmetry and mating gear material on the tooth deflection characteristics of polymer gears

Dynamic modeling of the planetary gear set considering the effects of positioning errors on the mesh position and the corner contact

Contact Info

Product

Resources

About