[1]LIANG Dong,HU Hanbao,WU Yukang,et al.Tooth Surface Design and Contact Characteristics Analysis of a Novel Herringbone Planetary Gear Drive[J].Journal of Zhengzhou University (Engineering Science),2027,48(XX):1-10.[doi:10.13705/j.issn.1671-6833.2025.06.002]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
48
Number of periods:
2027 XX
Page number:
1-10
Column:
Public date:
2027-12-10
- Title:
-
Tooth Surface Design and Contact Characteristics Analysis of a Novel Herringbone Planetary Gear Drive
- Author(s):
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LIANG Dong, HU Hanbao, WU Yukang, CHEN Renxiang, XU Xiangyang
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School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing 400074, China
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- Keywords:
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herringbone planetary gear; point contact; tooth surface design; three-dimensional modeling; contact analysis
- CLC:
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TH132.425
- DOI:
-
10.13705/j.issn.1671-6833.2025.06.002
- Abstract:
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Abstract: Involute gear transmissions faced challenges such as uneven distribution of contact stress on tooth surfaces that leading to pitting wear, and insufficient bending resistance when transmitting high torque and power. To address these issues, in this study a novel herringbone planetary gear transmission system, featuring a point-contact meshing form consisting of concave tooth profiles (central gear)-convex tooth profiles (planetary gear)-concave tooth profiles (internal ring gear) was proposed. Based on spatial geometric relationships, the equations for the convex and concave tooth profiles of each component were derived. The mathematical description of the conjugate tooth surfaces was completed using the helical motion method, and the geometric equations for the formed tooth surfaces were established. MATLAB and UG software were utilized to perform operations such as surface stitching, extrusion, merging, and Boolean operations, constructing a concave parabolic central gear, a convex circular-arc planetary gear, and a concave parabolic internal ring gear. The assembly of three transmission models—the novel herringbone planetary gear transmission, the involute gear transmission, and the involute-circular-arc gear transmission—was completed. Adaptive meshing technology was employed to gradually refine the mesh, and a detailed sensitivity analysis determined the relationship between mesh density and computational accuracy. A convergence curve of mesh density versus stress was plotted, showing that the equivalent stress stabilized when the mesh density reached 2.0. To balance computational accuracy and efficiency, a mesh density of 2.1 was selected for simulation analysis. With operating conditions of 360 kW input power and a sun gear speed of 2 000 r·min⁻¹, finite element analysis was conducted to compare the meshing contact characteristics of the three configurations. Results demonstrated that compared with the involute gear system, the novel herringbone planetary gear system exhibited a 24.5% reduction in static equivalent stress, more uniform tooth surface stress distribution, and a 4.63% improvement in bending resistance, significantly outperforming standard involute gear transmissions.