Parameter limit and finite element analysis of unequal modulus involute gear pair

JIN ChengKe; HUANG JiaXin; ZHU ChenZe; SUN XiaoXiao; YIN Yue

doi:10.16579/j.issn.1001.9669.2024.03.018

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Parameter limit and finite element analysis of unequal modulus involute gear pair

更新时间：2024-07-05

- Parameter limit and finite element analysis of unequal modulus involute gear pair
- Journal of Mechanical Strength Vol. 46, Issue 3, Pages: 662-667(2024)
- 作者机构：
  
  1. 南京工程学院工业中心、创新创业学院
  2. 南京工程学院机械工程学院
  3. 南京市特种设备安全监督检验研究院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2024.03.018
  CLC： TH132.413
- Published：15 June 2024，
- 稿件说明：
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JIN ChengKe, HUANG JiaXin, ZHU ChenZe, et al. Parameter limit and finite element analysis of unequal modulus involute gear pair. [J]. Journal of Mechanical Strength , 2024,46(3):662-667.
DOI：

JIN ChengKe, HUANG JiaXin, ZHU ChenZe, et al. Parameter limit and finite element analysis of unequal modulus involute gear pair. [J]. Journal of Mechanical Strength , 2024,46(3):662-667. DOI： 10.16579/j.issn.1001.9669.2024.03.018.

摘要

为了解决常规变位齿轮对中心距调节及强度分配的局限性，提出利用基圆节距相同但模数不等的结构，大幅度提高齿轮传动中较小齿轮的强度，尤其是齿根强度。但用于工程实践中的模数与齿形角相差均较小，通过对渐开线齿面的形成原理及齿轮啮合中部分参数的分析，得到了此种齿轮模数、齿数、齿形角、齿高系数等参数的限制条件，并通过公式推导了齿数、齿高系数与分度圆压力角极限值的关系式。基于工程实践情况建模并通过Ansys进行了有限元分析，得到基于极限参数设计的齿轮强度约为标准齿轮的2.66倍，验证了理论的可行性，并扩大了此种齿轮副的应用范围。

Abstract

In order to solve the limitation of center distance adjustment and strength distribution of conventional gear

a structure with the same base pitch but different modulus was proposed to greatly improve the strength of small gears in gear transmission

especially the strength of the tooth root. But used in the engineering practice in modulus differ with tooth profile angle are smaller

the formation principle of involute gear tooth surface and the gear meshing analysis of some parameters

got this kind of gear modulus

tooth number

tooth shape parameters such as coefficient of angle

depth of constraints

and through the formula deduction coefficient of the teeth

the tooth depth and the relation between the dividing circle pressure angle limit value. Based on the modeling of engineering practice and the finite element analysis through Ansys

the gear strength designed based on the limit parameters is about 2.66 times of the standard gear

which verifies the feasibility of the theory and expands the application range of this gear pair.

关键词

渐开线齿轮不等模数不等压力角无侧隙传动有限元分析

Keywords

Involute gearUnequal modulusUnequal pressure angleBacklash-free driveFinite element analysis

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