A finishing method for the continuous generation of spur face gears with shaving cutters

Wang, Yanzhong; Su, Guoying; Chu, Xiaomeng; Huang, Yizhan; Shiyuan, E; Zhang, Wei; Liu, Yang

doi:10.1016/j.ijmecsci.2020.106020

Cited by 22 publications

(6 citation statements)

References 20 publications

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“…In the Hertz theory, the maximum contact stress is formulated as Equation (9). However, this formula is not suitable for the case of edge contact, nor can it be applied to optimize the contact calculation, for example by filtering tooth surface parameters and reducing the maximum contact stress.…”

Section: The Optimization Model Of the Contact Stressmentioning

confidence: 99%

“…Their work provides significant references for researchers in the field of gears. In addition, Zhou et al presented a new closed-form model for the geometry establishment of face gears without solving nonlinear equations [9], and the model was applied to the modeling and milling of face gears [10][11][12][13][14][15]. In addition, they put forward a time-saving CAD/CAE integration method [16,17] for optimizing design parameters with FEA.…”

Section: Introductionmentioning

confidence: 99%

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A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact

Wang

et al. 2022

Mathematics

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Optimization with edge contact avoidance and contact stress minimization is essential for gear design. Due to the complex geometry of modified helical face gear drives, it is complicated to find the optimal design parameters with the consideration of issues including loading, assembly errors, and edge contact. As the finite element method is tedious and time-consuming, an optimization model with a simplified algorithm of the loaded tooth contact analysis with errors (ELTCA) for modified helical face gears is presented, and it can programmatically optimize the contact stress with edge contact avoidance. Firstly, a simplified ETCA algorithm is introduced, which reduces the five unknowns in the traditional contact equations to three. Secondly, the LTCA is analytically implemented according to the Hertz theory. Subsequently, an optimization model with the objective function of avoiding edge contact and reducing maximum contact stress is proposed. Furthermore, the proposed model is applied to reveal the effects of design parameters and assembly errors on the optimized contact path and stress. The results show that the optimization model is accurate and efficient; the design parameters and assembly errors have great effects on the meshing of modified helical face gears.

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Section: The Optimization Model Of the Contact Stressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact

Wang

et al. 2022

Mathematics

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“…Face gear is a type of gear that is used in mechanical systems to transmit power and motion between two intersecting shafts at right angles to each other. 1 Unlike the traditional gear that has teeth around the circumference of the gear, face gear has teeth on the face or side of the gear. This unique design allows for a more compact and efficient transmission system, 2 especially in applications where space is limited.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental research on tooth root bending stress of face gear

Zhou,

Zhu,

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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A tooth root bending stress analysis method is proposed to study the tooth surface load distribution and tooth root bending stress during the meshing process of orthogonal face gear. Firstly, the tooth surface equation, transition surface equation and tooth width constraints are derived. Then, Through the tooth contact analysis (TCA), the contact path and spots of the face gear pair are obtained. What’s more, the proposed method based on Load tooth contact analysis (LTCA) is utilized to calculate the tooth surface load distribution and root bending stress of the face gear along the mesh cycle and compared with the finite element method. Meanwhile, root bending stress tests were carried out to verify the proposed method. The comparisons indicate that the proposed method has higher computational efficiency compared with the finite element method (e.g. the finite element method takes about 5 h for a mesh cycle and the proposed method costs 40 s). The results show that the tooth surface load distribution and root bending stress of the proposed method are consistent with those obtained by the finite element method and gear root stress experiment.

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“…Heath and Filler [39] proposed a method for measuring tooth pitch deviation of face gear by using a gear measuring center. Wang [40] proposed that the normal deviation of face gear tooth surface was used as the standard for evaluating the machining accuracy of face gear tooth surface.…”

Section: Introductionmentioning

confidence: 99%

The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

Ya-nan

Lin

et al. 2021

Applied Sciences

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The curve-face gear pair is a new type of gear pair with variable transmission ratio for spatial finite helical motion. In this paper, mathematical models of a new developed curve-face gear were simplified and obtained directly by the standard shaper. The subsequent studies on the curve-face gear compound transmission characteristics were further analyzed by the combinations of the principle of space gearing and screw theory. Firstly, the conjugate tooth surface geometry as well the point contact traces of curve-face gears were derived. Secondly, the geometric relationships between gear pair and the corresponding meshing characteristics were evaluated by several basic geometric elements, including instantaneous screw, axodes, striction curve, and conjugate pitch surface. Based on that analysis, it was found that the tooth contact normal was reciprocal to the instantaneous twist, which demonstrated that the conjugate motion with the desired transmission ratio could be realized in current curve-face gear compound transmission. Moreover, the time-varying slip characteristics of the curve-face gear pair were also revealed, that is, rolling and sliding action coexist at all contact on the tooth surfaces. In brief, this work provided the theoretical basis for following researches on machining curve-face gear with standard shaper.

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A finishing method for the continuous generation of spur face gears with shaving cutters

Cited by 22 publications

References 20 publications

A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact

A Comprehensive Optimization Model of Tooth Surface Parameters for the Minimization of Contact Stress of Helical Face Gears by Considering the Avoidance of Edge Contact

Theoretical and experimental research on tooth root bending stress of face gear

The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

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