Geometry and design of spur gear drive associated with low sliding ratio

Sheng, Wei; Li, Zhengminqing; Zhang, Hong; Zhu, Rupeng

doi:10.1177/16878140211012547

Cited by 18 publications

(6 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…During the meshing cycle, the sliding coefficients were frequently utilized to indicate the amount of sliding between the gear pairs. 10,14,21,23 Let Δ s 1 and Δ s 2 denote the arcs of motion of the mated gears' tooth profiles over the time period Δ t . When sliding is present, the arc lengths Δ s 1 and Δ s 2 are not identical; rather, they are equal only at the pitch point P. The coefficient of sliding is the ratio of the sliding arc’s length to the mesh plane’s related arc.…”

Section: Sliding Contactmentioning

confidence: 99%

“…J. Wang et al 12,13 were also contributed to this topic. Compared to an involute gear-pair, W. Sheng et al 14 proposed a mathematical model that used a third-degree polynomial function as a path of contact between meshing gears to get better sliding coefficients and efficiency during the meshing cycle. The sliding coefficients, meshing efficiency, and contact conditions during the meshing cycle were shown to be refined compared with the involute gear pair.…”

Section: Introduction Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

A novel design for enhancing the surface durability of the spur gear systems

Hussein

Abdullah

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

In this study, a general mathematical model for defining the gear tooth profile and its geometrical aspects that meet a desirable sliding contact during the meshing cycle is built. This model is based on the path of contact shape predefinition. In the contact path, a straight-line segment through the pitch point and a universal transition curve for the other segments are combined to create a free-form tooth profile with desired radius of curvature in the designed gear. The maximum pressure angle during the meshing cycle and the involute curve length parameter are only introduced to characterize this model. The designed gear in this study is given the title “free-form-gear” since it provided a universal manner of establishing the path of contact that provides desirable sliding conditions during the meshing cycle. The proposed tooth form, interference condition, contact ratio, contact stress, sliding coefficient, and meshing efficiency are derived and investigated in this study. The fillet stress and torsional mesh stiffness of the proposed gear pair are obtained using the finite element method (FEM). The performance of the new gear is compared to that of the standard involute and non-involute gear types. The results indicated that the method proposed in this study can be utilized to construct a gear pair with higher surface durability and strength than typical involute gear of the same size.

show abstract

Section: Sliding Contactmentioning

confidence: 99%

Section: Introduction Backgroundmentioning

confidence: 99%

A novel design for enhancing the surface durability of the spur gear systems

Hussein

Abdullah

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Motion simulation can be used to judge the rationality of the meshing pair movement, and also to determine whether there is interference between components [31]. In this study, based on the movement relationship between the two parts, motion simulation was carried out, as displayed in Figure 13.…”

Section: Motion Simulationmentioning

confidence: 99%

Geometric Design of a Face Gear Drive with Low Sliding Ratio

Sheng

Zhao

et al. 2022

Applied Sciences

Self Cite

View full text Add to dashboard Cite

A design method of low sliding ratio face gear drive is presented. The rack and gear meshing pair with a low sliding ratio is obtained by constructing the contact path. The face gear is then formed by this gear, and its tooth width characteristics are analyzed. Combined with the explicit solution of the meshing point of the tooth surface, a method to solve the sliding ratio of the proposed face gear pair is given, and the effects of relevant design parameters on the sliding ratio are analyzed. Moreover, the rationality of the tooth profile design is verified by 3D modeling and motion simulation. The proposed face gear pair has a lower sliding ratio, as well as larger tooth width, than those of traditional face gear drive (the pinion is involute spur gear) with the same basic parameters. The results of this study can provide points of reference for reducing friction and improving the mechanical efficiency of face gear drives.

show abstract

“…In the same way, Yang [20] developed a triple circular-arc rack cutter improving the concept of the stepped triple circular-arc profile that comes from the standard Chinese double circular-arc and involute profiles. In addition, apart from new pinion and rack profiles, researchers experimented with new contact path trajectories such as parabolic [21], cubic [22], forth-order [23] or combinative curves (i.e., straight line and circular arc [24]).…”

Section: Introductionmentioning

confidence: 99%

Development of a free-form tooth flank optimization method to improve pitting resistance of spur gears

et al. 2022

View full text Add to dashboard Cite

Although steel involute gears are the standard solution for gear transmissions, they tend to suffer from poor pitting resistance. Pitting typically occurs when the gear tooth flanks have high equivalent curvature at the contact point and/or when the equivalent curvature is not constant across the contact path leading to high contact pressures and the development of surface fatigue. In this paper a new optimization method is presented to produce spur gear tooth flanks with improved pitting performance compared to involute ones. The tooth flanks are represented as B-spline curves, the control points of which are the variables for the optimization problem. The constraints were designed to ensure that all the examined profiles satisfy the law of gearing and do not contain any cusps or C1 discontinuities. Deterministic and stochastic algorithms were implemented and both closed and open path of contact gear sets were examined to determine the optimum tooth profile. The optimization results show that the maximum equivalent curvature of the optimum profiles is reduced by 83% compared to the corresponding standard profiles, while the deviation from the mean value is reduced by 98%. Both the standard and the optimized gears where examined comparatively also through finite element analysis. For the case selected the maximum contact pressure developed on the optimized gear set was 77% of the respective maximum contact pressure on the standard gear set whereas the corresponding deviation from the mean value was 5%. At the same time, the bending stresses developed in the optimized gear are slightly lower than those in the standard one.

show abstract

Geometry and design of spur gear drive associated with low sliding ratio

Cited by 18 publications

References 25 publications

A novel design for enhancing the surface durability of the spur gear systems

A novel design for enhancing the surface durability of the spur gear systems

Geometric Design of a Face Gear Drive with Low Sliding Ratio

Development of a free-form tooth flank optimization method to improve pitting resistance of spur gears

Contact Info

Product

Resources

About