Geometry design, meshing analysis and error influences of face-hobbed cycloidal bevel gears with double circular-arc profile for a nutation drive

Wei-min, Tang; Huang, Yinkun; Wu, Yihuang; Yao, Ligang; Pan, Ling; Zhang, Jun

doi:10.1016/j.mechmachtheory.2022.105001

Cited by 7 publications

(6 citation statements)

References 27 publications

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“…The detailed derivation process for the tooth surfaces of double circular-arc spiral bevel gears can be referred to our previous study. 1 In the body-fixed coordinate systems of S 1 and S 2, the position vector of a given point on the tooth surface is denoted as boldr normalj and its corresponding unit normal vector is denoted as boldn normalj. The expression of position vectors and unit normal vectors is given by Herein, u j and θ j are the parameters of the geometric equation of tooth surface in corresponding coordinate systems.…”

Section: Determination Of Key Parameters In Wear Computationmentioning

confidence: 99%

“…An internal meshing pair of double circular-arc spiral bevel gears from a nutation reducer 1 is used as an example to demonstrate the running-in process simulation. The basic parameters of this gear pair are listed in Table 1.…”

Section: Case Studymentioning

confidence: 99%

“…Through TCA results and differential geometry content, we can calculate the principal curvatures of k (1) 1 and k (1) 2 and the corresponding principal directions e (1) 1 and e (1) 2 on the external bevel gear tooth surface at the contact point. The principal curvatures of k (2) 1 and k (2) 2 and the corresponding principal directions e (2) 1 and e (2) 2 of the internal bevel gear tooth surface at the contact point can also be calculated.…”

Section: Ltca Model Of a Double Circular-arc Spiral Gear Pairmentioning

confidence: 99%

“…The positional relationship between its principal directions and the contact ellipse on the tangent plane at the contact point is shown in Figure 3. In Figure 3, γ represents the angle between the principal curvatures of k (1) 1 and k (2) 1 and can be calculated as…”

Section: Ltca Model Of a Double Circular-arc Spiral Gear Pairmentioning

confidence: 99%

“…Among various types of spiral bevel gears, double circular-arc spiral bevel gears have the potential for better load-bearing capacity and longer service life, making them a preferred solution for high-performance power transmission. [1][2][3] During the manufacturing of this gear type, a certain difference between the radii of the concave and convex profiles is intentionally introduced to prevent jamming caused by various installation errors. However, the intentionally introduced radii significantly alter the meshing characteristics of the gear pair.…”

Section: Introductionmentioning

confidence: 99%

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A running-in strategy based on an efficient wear simulation model for double circular-arc spiral bevel gears

Zhong,

Tang,

Yao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part J:

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A proper running-in process is necessary for double circular-arc spiral bevel gears to achieve desirable meshing performance. However, this type of gear transmission lacks a suitable running-in wear model, which brings great difficulties to the design of appropriate running-in strategies. To address this problem, the present study establishes an efficient numerical wear model to reveal the wear behavior of double circular-arc spiral bevel gear pairs, based on which a step-wise load running-in strategy is proposed. The established Archard's wear model considers the meshing characteristics of double circular-arc spiral bevel gears and sets a small threshold value, which can reflect the wear behavior of this gear in the running-in stage. To improve the computation efficiency, a two-step parameter updating strategy is proposed to enhance the iteration of p and s. The wear simulation reveals the quantitative relationship contact pressure and running-in cycle during the running-in process. Based on the reveal relationship, a step-wise load running-in strategy is proposed to sharpen the running-in period. The developed wear model and the proposed running-in strategy can be extended to other types of gears with circular-arc profiles.

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Section: Determination Of Key Parameters In Wear Computationmentioning

confidence: 99%

Section: Case Studymentioning

confidence: 99%

Section: Ltca Model Of a Double Circular-arc Spiral Gear Pairmentioning

confidence: 99%

Section: Ltca Model Of a Double Circular-arc Spiral Gear Pairmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A running-in strategy based on an efficient wear simulation model for double circular-arc spiral bevel gears

Zhong,

Tang,

Yao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part J:

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Lubrication Performance and Wear Mechanism of Double‐Circular‐Arc Spiral Bevel Gears for Nutation Drive in Mixed Lubrication

Lin,

Pan,

Tang

et al. 2024

Lubrication Science

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A thermal elastohydrodynamic lubrication model is combined with a wear model under mixed lubrication to investigate the lubrication performance and wear characteristics of double‐circular‐arc spiral bevel gears for nutation drive. Moreover, the effects of operating conditions on the characteristic parameters of the film are analysed under the mixed lubrication point‐contact conditions. Furthermore, the characteristics of gears in terms of friction coefficient and wear depth are discussed. According to the results, the performance of lubrication and wear during the mutual meshing of the convex tooth surface of the external bevel gear and the concave tooth surface of the inner bevel gear is better than that during the mutual meshing of the other pair of tooth surfaces. The minimum film thickness of the whole meshing process occurs near the inner of the bevel gear due to the joint action of the load and the end edge effect. Moreover, an increase in torque at a certain rotational speed is favourable to the lubrication performance of the meshing process. The wear depth in the double‐circular‐arc spiral bevel gears' meshing process is heavily influenced by the roughness of the tooth surface.

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Contact fatigue life forecasting model considering micro-scale subsurface stress for aerospace spiral bevel gears

Dong,

Deng,

Yin

et al. 2025

Advances in Engineering Software

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Geometry design, meshing analysis and error influences of face-hobbed cycloidal bevel gears with double circular-arc profile for a nutation drive

Cited by 7 publications

References 27 publications

A running-in strategy based on an efficient wear simulation model for double circular-arc spiral bevel gears

A running-in strategy based on an efficient wear simulation model for double circular-arc spiral bevel gears

Lubrication Performance and Wear Mechanism of Double‐Circular‐Arc Spiral Bevel Gears for Nutation Drive in Mixed Lubrication

Contact fatigue life forecasting model considering micro-scale subsurface stress for aerospace spiral bevel gears

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