钝交错角准双曲面齿轮几何设计与接触行为控制方法

doi:10.3901/JME.260410

机械工程学报 ›› 2026, Vol. 62 ›› Issue (9): 131-144.doi: 10.3901/JME.260410

• 机械动力学 • 上一篇

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钝交错角准双曲面齿轮几何设计与接触行为控制方法

庞靖炜, 刘思远, 何炆俊, 宋朝省

重庆大学高端装备机械传动全国重点实验室重庆 400044

收稿日期:2025-06-19 修回日期:2025-11-21 发布日期:2026-07-08
作者简介:庞靖炜，男，2000年出生，博士研究生。主要研究方向为准双曲面齿轮传动。E-mail：202307131391@stu.cqu.edu.cn;刘思远(通信作者)，男，1994年出生，助理研究员。主要研究方向为航空齿轮传动。E-mail：liusiyuan@cqu.edu.cn
基金资助:
国家自然科学基金青年基金(52205051)和重庆市杰出青年科学基金(CSTB2022NSCQ-JQX0026)资助项目。

Geometric Design Methodology and Meshing Behavior Controlling Technology for the Hypoid Gears with Obtuse Crossed Shaft Angle

PANG Jingwei, LIU Siyuan, HE Wenjun, SONG Chaosheng

State Key Laboratory of Mechanical Transmissions for Advanced Equipment, Chongqing University, Chongqing 400044

Received:2025-06-19 Revised:2025-11-21 Published:2026-07-08

摘要/Abstract

摘要： 针对直升机传动中存在的钝交错角传动形式需求，提出一种钝交错角准双曲面齿轮的几何设计与接触行为控制方法。建立基于空间三大几何关系式的钝交错角准双曲面齿轮节圆锥切触模型，提出不同轮齿收缩方式选取规则，形成了面向内、外锥形式的钝交错角准双曲面齿轮的几何设计方法，并绘制了内、外锥两种形式边界设计参数选取的封闭图。基于考虑齿面缺陷规避的局部综合法，提出了钝交错角准双曲面齿轮接触行为完全控制方法；基于数字化齿面建模技术获得了该型齿轮传动精确啮合模型，通过齿面接触分析、承载接触分析对该齿面接触行为进行仿真，搭建了轴交角、偏置距可调的准双曲面齿轮对滚印痕测试样机，并进行试验，三者结果一致可相互验证。

关键词: 钝交错角, 准双曲面齿轮, 几何设计, 接触行为控制

Abstract: In response to the demand for hypoid gears with obtuse crossed angles in helicopter transmissions, a geometric design and contact behavior control method is proposed. By establishing an obtuse crossed shaft angle hypoid gear pitch cone tangential contact model based on the three fundamental geometric relationships in space, different selection rules for gear tooth taper methods are proposed, forming a geometric design method for both inner and outer cones forms of obtuse crossed hypoid gears. Closed diagrams of boundary design parameter selections for both inner and outer cones are presented. Utilizing a local synthesis method that considers the avoidance of tooth surface defects, a comprehensive control method for the contact behavior of the obtuse crossed shaft angle hypoid gears is introduced. By employing digital tooth flank modeling techniques, an accurate meshing model of this type of gear transmission is obtained. Through tooth contact analysis and load tooth contact analysis to simulate the tooth contact behavior. Additionally, a testing machine is developed for the hypoid gear pair, allowing for adjustable shaft angles and offset distances to conduct rolling imprint tests, yielding consistent results that mutually validate each other.

Key words: obtuse crossed shaft angle, hypoid gear, geometric design, meshing behavior controlling

中图分类号:

TH132

庞靖炜, 刘思远, 何炆俊, 宋朝省. 钝交错角准双曲面齿轮几何设计与接触行为控制方法[J]. 机械工程学报, 2026, 62(9): 131-144.

PANG Jingwei, LIU Siyuan, HE Wenjun, SONG Chaosheng. Geometric Design Methodology and Meshing Behavior Controlling Technology for the Hypoid Gears with Obtuse Crossed Shaft Angle[J]. Journal of Mechanical Engineering, 2026, 62(9): 131-144.

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钝交错角准双曲面齿轮几何设计与接触行为控制方法

Geometric Design Methodology and Meshing Behavior Controlling Technology for the Hypoid Gears with Obtuse Crossed Shaft Angle

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