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新型人字行星齿轮传动齿面设计及接触特性分析OA

Tooth Surface Design and Contact Characteristics Analysis of a Novel Herringbone Planetary Gear Drive

中文摘要英文摘要

渐开线齿轮传动在传递大扭矩和大功率时,常面临齿面接触应力分布不均导致齿面点蚀磨损、齿轮抗弯性能不足的问题.为解决这一问题,提出了一种新型人字行星齿轮传动,啮合形式为凹齿廓(中心轮)-凸齿廓(行星轮)-凹齿廓(内齿圈)点接触.基于空间几何关系推导各构件凸、凹齿齿廓方程,利用螺旋运动法完成各构件共轭齿面数学描述,建立成型齿面几何方程.基于 MATLAB 与 UG 软件,通过曲面缝合、拉伸、合并和布尔运算等操作,构建了凹齿抛物线中心轮、凸齿圆弧行星轮和凹齿抛物线内齿圈,并完成新型人字行星齿轮传动、渐开线齿轮传动和渐开线-圆弧齿轮传动 3 种形式的模型装配.采用自适应网格技术划分网格,通过灵敏度分析确定了网格密度与计算精度的关系.在输入功率为 360 kW、太阳轮转速为 2 000 r/min 的工况下,根据有限元分析对比相同工况下 3 种传动构型的啮合接触特性.结果表明:与渐开线齿轮传动相比,新型人字行星齿轮传动的静态等效应力降低了 24.5%,齿面应力分布更加均匀,且抗弯性能提升了 4.63%,显著优于标准渐开线齿轮传动形式.

Involute gear transmissions faced challenges such as uneven distribution of contact stress on tooth sur-faces 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 sur-faces were established.MATLAB and UG software were utilized to perform operations such as surface stitching,ex-trusion,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 transmis-sion—was completed.Adaptive meshing technology was employed to gradually refine the mesh,and a detailed sen-sitivity 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 demon-strated 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.

梁栋;胡汉宝;吴育康;陈仁祥;徐向阳

重庆交通大学 机电与车辆工程学院,重庆 400074重庆交通大学 机电与车辆工程学院,重庆 400074重庆交通大学 机电与车辆工程学院,重庆 400074重庆交通大学 机电与车辆工程学院,重庆 400074重庆交通大学 机电与车辆工程学院,重庆 400074

机械制造

人字行星齿轮点接触齿面设计三维建模接触分析

herringbone planetary gearpoint contacttooth surface designthree-dimensional modelingcontact analysis

《郑州大学学报(工学版)》 2026 (3)

19-28,10

国家自然科学基金资助项目(52575053)重庆市自然科学基金创新发展联合基金重点项目(CSTB2023NSCQ-LZX0127)重庆交通大学研究生科研创新项目(2024S0087)

10.13705/j.issn.1671-6833.2025.06.002

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