A Mathematical Model of Parametric Tooth Profiles for Spur Gears

Chang, Hsun-Cheng; Tsai, Ying-Chien

doi:10.1115/1.2916931

Cited by 22 publications

(7 citation statements)

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“…Thus far, the tooth profile design of the face gear drive with a low sliding ratio is rare, whereas the design of the cylindrical gear drive has been previously considered. Chang and Tsai [17] reported a parametric tooth profile of spur gear drive with a low sliding ratio. Kapelevich [18] advanced an asymmetric gear drive, which has a low sliding ratio.…”

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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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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“…Therefore, the proposed tooth profile has lower sliding ratio than that of involute gear. Using three kinematic parameters: polar angle, polar distance, and rotation displacement, Chang and Tsai 11 provided a parametric tooth profile of spur gears with lower relative curvature and sliding ratio. Kapelevich 12 investigated the design of an asymmetric tooth profile, which has low sliding ratio.…”

Section: Introductionmentioning

confidence: 99%

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

Sheng

Zhang

et al. 2021

Advances in Mechanical Engineering

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The relative sliding between tooth surfaces is the main cause of tooth wear and power loss, which directly affects the transmission efficiency and durability of gear. The aim of this paper is to provide a method to design such spur gear with low sliding ratio (LSR). Based on kinematics, differential geometry and contact path, the general mathematical models of the generating rack, the pinion and the mating gear tooth profiles are established in turn. Then, according to the relationship between the contact path and sliding ratio, a contact path described by a cubic function is proposed to construct a spur gear drive with low sliding ratio. In order to ensure the continuity of action and non-interference, solid models of the mated gear pair are established, and the motion simulation is carried out by an example. Moreover, the effects of the contact path function coefficients on sliding ratio, tooth shape, and contact ratio are analyzed. Meshing efficiency and tooth wear of LSR gear drive are evaluated by comparing with those of the involute gear drive. The results show that, this LSR spur gear drive has higher transmission efficiency and better anti-wear performance.

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“…This approach has the flexibility for applying profile modifications to spur and helical gearing. Based on Litvin's vector approach, mathematical models for conventional and modified gear teeth have been presented [4][5][6][7][8][9][10][11]. Yang proposed a mathematical model of the helical gear with asymmetric involute teeth [10,11].…”

Section: Introductionmentioning

confidence: 99%

Computer Simulation of Helical Gears Generated by Rack-Type Cutters

Fetvaci

2011

Arab J Sci Eng

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This paper studies the equations of rack cutters for generating involute gears with asymmetric teeth. The asymmetry means that different pressure angles are applied for the driving and coast sides. By applying the equations of the designed profile of the rack cutter, the principle of coordinate transformation, the theory of differential geometry, and the theory of gearing, the mathematical models of involute helical gear are given. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Furthermore, a computer simulation program is developed to generate the tooth profile of asymmetric involute gears and to illustrate the effect of tool geometry on the generated surfaces. A CAD/FEM procedure for finite element modeling of asymmetric gear teeth is presented. This simulation should be helpful in the design and manufacture of asymmetric gears.

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A Mathematical Model of Parametric Tooth Profiles for Spur Gears

Cited by 22 publications

References 0 publications

Geometric Design of a Face Gear Drive with Low Sliding Ratio

Geometric Design of a Face Gear Drive with Low Sliding Ratio

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

Computer Simulation of Helical Gears Generated by Rack-Type Cutters

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