Computerized design, simulation of meshing and stress analysis of pure rolling cylindrical helical gear drives with variable helix angle

Chen, Zhen; Zeng, Ming; Fuentes-Aznar, Alfonso

doi:10.1016/j.mechmachtheory.2020.103962

Cited by 36 publications

(21 citation statements)

References 20 publications

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“…The driving and driven tooth profiles contact at the point M, which is the meshing point, and when these two gears rotate, M forms the meshing line K-K in the fixed coordinate system as well as the contact curves C 1 and C 2 on the cylindrical axodes of the gear pair, respectively. In this study, the traditional design method of gear tooth surfaces based on the generation by a cutting tool is replaced by the active design method of the meshing line function [21][22][23][24][25][26], where the tooth profiles are designed by the position of their critical control points. The entire transverse tooth profile is formed by several control points, as illustrated in Figure 2, which is divided into different parts including the active tooth profile and the fillet by control points.…”

Section: Transverse Tooth Profiles Designed By Critical Control Pointsmentioning

confidence: 99%

“…Besides this, Yu et al [20] introduced the master-slave concept for conjugate surface modeling and established the first free-form conjugation design in gearing, based on splines controlled by a set of control points that form a control polygon. Meanwhile, an alternative and convenient way to design pure rolling gears based on the active design of the meshing line function has been proposed recently [21][22][23][24][25][26], which was applied for transmissions between parallel shafts, intersecting shafts and rack and pinion. This new design method can be used for the free design of nongenerated gear tooth surfaces by setting a pair of transverse curves such as circular arcs in a mesh at the pitch point to form the active tooth profile according to the chosen meshing line function.…”

Section: Introductionmentioning

confidence: 99%

“…This new design method can be used for the free design of nongenerated gear tooth surfaces by setting a pair of transverse curves such as circular arcs in a mesh at the pitch point to form the active tooth profile according to the chosen meshing line function. Thus, the meshing type of parallel shaft transmissions is changed from line contact in non-modified involute gears to point contact for non-generated external gears [23,25]. Meanwhile, the recent development of additive manufacturing allows for the free design of gear tooth surfaces including non-generated gear tooth surfaces as proposed in this work.…”

Section: Introductionmentioning

confidence: 99%

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Computerized Design, Simulation of Meshing and Stress Analysis of External Helical Gear Drives Based on Critical Control Points

et al. 2022

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Helical gears are widely used in powertrain systems. The computerized design of a new type of non-generated external helical gears based on critical control points at the transverse tooth profile is presented. The entire tooth profile is divided into different parts including the active tooth profile and fillet by control points. Involutes, circular arcs and Hermite curves are defined between two critical control points and smoothly connected with each other at those control points. The parametric equations for the tooth surfaces are derived considering the position of the mentioned control points. The basic design parameters and equations of the geometric sizing are proposed. The contact patterns, variation of the maximum stresses and peak-to-peak level of loaded transmission errors for six cases of design of the proposed new geometry of helical gear drives are studied with two cases of traditional helical gear drives as a reference, including gears with and without micro-geometry modifications. One case of an external helical gear drive designed with a combination of a circular arc and an involute to form the active tooth profile for both the pinion and the gear shows a much lower maximum bending stress and similar lower peak-to-peak level of loaded transmission errors with respect to the other cases of design. The proposed design method of tooth profiles based on critical control points lays the foundation for the topological optimization of helical gear drives.

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Section: Transverse Tooth Profiles Designed By Critical Control Pointsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computerized Design, Simulation of Meshing and Stress Analysis of External Helical Gear Drives Based on Critical Control Points

et al. 2022

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“…By controlling the relative curvature of the conjugate tooth profiles, Liu et al [20] presented a design method for plane meshing tooth profiles, which can also be used as the design of gear drive with a low sliding ratio. Chen et al [21] presented a pure rolling cylindrical helical gear drive with variable helix angles. Yeh et al [22] implemented the deviation function (DF) method for the design of the conjugated tooth profiles, which can be used for designing the low sliding ratio gear drive.…”

Section: Introductionmentioning

confidence: 99%

Geometric Design of a Face Gear Drive with Low Sliding Ratio

Sheng

Zhao

et al. 2022

Applied Sciences

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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.

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“…The contact pressure, root stress, and static transmission error were also calculated and evaluated. Based on seven types of meshing line, Chen et al 18 carried out geometrical design of the helical gear transmission with variable helical angle. Its meshing and mechanical properties were analyzed and studied by tooth contact analysis.…”

Section: Introductionmentioning

confidence: 99%

Compound transmission principle analysis of eccentric curve-face gear pair with curvilinear-shaped teeth based on tooth contact analysis

Lin

Wang

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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A new type of compound transmission gear pair was put forward, called eccentric curve-face gear pair with curvilinear-shaped teeth. It could realize reciprocating motion of the gear shaft when the intersecting shafts achieve transferring motion and power through its unique tooth profile. The compound transmission principle of this gear pair was fully established based on the profile-closure process of axial direction and meshing process of the end face. The tooth surfaces of the eccentric curve-face gear and non-circular gear were generated. The contact paths of different teeth were obtained, and the compound transmission principle of eccentric curve-face gear pair with curvilinear-shaped teeth was verified by tooth contact analysis. By analyzing the mechanical characteristics of time-varying contact points, the changing rule of contact force was studied, and the compound transmission principle of the gear pair was further revealed from mechanics. Moreover, the experimental platform for transmission of eccentric curve-face gear pair with curvilinear-shaped teeth was set up to measure the motion law and contact area, and the correctness of the analysis results was verified.

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Computerized design, simulation of meshing and stress analysis of pure rolling cylindrical helical gear drives with variable helix angle

Cited by 36 publications

References 20 publications

Computerized Design, Simulation of Meshing and Stress Analysis of External Helical Gear Drives Based on Critical Control Points

Computerized Design, Simulation of Meshing and Stress Analysis of External Helical Gear Drives Based on Critical Control Points

Geometric Design of a Face Gear Drive with Low Sliding Ratio

Compound transmission principle analysis of eccentric curve-face gear pair with curvilinear-shaped teeth based on tooth contact analysis

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