Study on meshing characteristics of beveloid gear and involute cylindrical gear transmission with low crossed shaft angle

NI Gaoxiang; HE Chao; LIU Zhanqi; LI Yao; LIU Siyuan

doi:10.16578/j.issn.1004.2539.2026.03.017

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Study on meshing characteristics of beveloid gear and involute cylindrical gear transmission with low crossed shaft angle

Dynamic Performance and Mesh Characteristics | 更新时间：2026-05-27

- Study on meshing characteristics of beveloid gear and involute cylindrical gear transmission with low crossed shaft angle
- Journal of Mechanical Transmission Vol. 50, Issue 3, Pages: 154-160(2026)
- 作者机构：
  
  1.三峡大学水电机械设备设计与维护湖北省重点实验室，宜昌 443002
  2.重庆大学高端装备机械传动全国重点实验室，重庆 400044
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2026.03.017
  CLC： TH132
- Received：25 November 2024，
  
  Revised：2025-01-27，
  
  Published：15 March 2026
- 稿件说明：
移动端阅览
倪高翔，何超，刘占旗，等. 小交错角变厚齿轮与渐开线圆柱齿轮传动啮合特性研究［J］. 机械传动，2026，50（3）：154-160.

NI Gaoxiang，HE Chao，LIU Zhanqi，et al. Study on meshing characteristics of beveloid gear and involute cylindrical gear transmission with low crossed shaft angle［J］. Journal of Mechanical Transmission，2026，50（3）：154-160.
倪高翔，何超，刘占旗，等. 小交错角变厚齿轮与渐开线圆柱齿轮传动啮合特性研究［J］. 机械传动，2026，50（3）：154-160. DOI： 10.16578/j.issn.1004.2539.2026.03.017.

NI Gaoxiang，HE Chao，LIU Zhanqi，et al. Study on meshing characteristics of beveloid gear and involute cylindrical gear transmission with low crossed shaft angle［J］. Journal of Mechanical Transmission，2026，50（3）：154-160. DOI： 10.16578/j.issn.1004.2539.2026.03.017.

摘要

目的

针对交错轴变厚齿轮副在轴向窜动量较大时易产生的干涉与卡死现象，提出一种小交错角变厚齿轮与渐开线圆柱齿轮传动类型，旨在提升传动系统的可靠性与环境适应性。

方法

首先，基于空间齿轮啮合理论，构建了小交错角变厚齿轮与渐开线圆柱齿轮副的工作节圆锥-节圆柱数学模型；其次，提出该传动类型的几何设计方法，获得了关键的几何设计参数与安装参数；最后，利用有限元法建立负载啮合分析模型，系统研究了载荷、螺旋角及节锥角对啮合印痕、传递误差和齿根应力的影响规律。

结果

结果表明，随载荷增加，齿轮副的啮合印痕面积、传递误差及齿根弯曲应力均呈增大趋势。增大变厚齿轮的节锥角会导致啮合印痕面积减小，并使传递误差与齿根弯曲应力上升；而增加变厚齿轮的螺旋角则能有效扩大啮合印痕面积，并降低传递误差的峰峰值及齿根弯曲应力。研究结果可为小交错角变厚齿轮传动的设计与应用提供指导。

Abstract

Objective

To address the interference and blocking phenomena caused by large axial displacement in crossed beveloid gear pairs

a new transmission type involving a beveloid gear and an involute cylindrical gear with a low crossed shaft angle was proposed. This research aims to enhance the reliability and stability of the gear system.

Methods

Firstly

based on the spatial gear meshing theory

a mathematical model of the working pitch cone-pitch cylinder for this gear pair was established. Secondly

a geometric design method was developed to obtain the necessary design and installation parameters. Finally

a loaded tooth contact model was created using the finite element method to investigate the influences of load

pitch cone angle

and helix angle on contact patterns

transmission errors

and tooth root stresses.

Results

The results indicate that the contact pattern area

transmission error

and tooth root bending stress all increase with increasing load. An increase in the pitch cone angle of the beveloid gear leads to a reduction in the contact pattern area and an increase in both transmission error and tooth root stress. Conversely

increasing the helix angle of the beveloid gear enlarges the contact pattern area while decreasing the peak-to-peak value of the transmission error and the tooth root stress. These findings provide a basis for the precision design and performance optimization of low-crossed-shaft-angle gear transmissions.

关键词

Keywords

references

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