Method of calculation and test of dynamic tooth root strain for high-contact-ratio spur gears

YU Pengfei; ZHANG Xiangfeng; ZHOU Jianxing; WANG Haiwei; LIU Yi

doi:10.16578/j.issn.1004.2539.2025.03.009

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Method of calculation and test of dynamic tooth root strain for high-contact-ratio spur gears

Design· Calculation | 更新时间：2025-03-20

- Method of calculation and test of dynamic tooth root strain for high-contact-ratio spur gears
- Journal of Mechanical Transmission Vol. 49, Issue 3, Pages: 60-68(2025)
- 作者机构：
  
  1.新疆大学机械工程学院，乌鲁木齐 830017
  2.西北工业大学陕西省机电传动与控制工程实验室，西安 710072
  3.陕西法士特齿轮有限责任公司，西安 710119
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2025.03.009
  CLC： TH132
- Received：01 December 2023，
  
  Published：15 March 2025
- 稿件说明：
移动端阅览
余鹏飞，章翔峰，周建星，等. 细高齿齿轮齿根动应变计算及测试方法研究［J］. 机械传动，2025，49（3）：60-68.

YU Pengfei，ZHANG Xiangfeng，ZHOU Jianxing，et al. Method of calculation and test of dynamic tooth root strain for high-contact-ratio spur gears［J］. Journal of Mechanical Transmission，2025，49（3）：60-68.
余鹏飞，章翔峰，周建星，等. 细高齿齿轮齿根动应变计算及测试方法研究［J］. 机械传动，2025，49（3）：60-68. DOI： 10.16578/j.issn.1004.2539.2025.03.009.

YU Pengfei，ZHANG Xiangfeng，ZHOU Jianxing，et al. Method of calculation and test of dynamic tooth root strain for high-contact-ratio spur gears［J］. Journal of Mechanical Transmission，2025，49（3）：60-68. DOI： 10.16578/j.issn.1004.2539.2025.03.009.

摘要

目的

针对细高齿齿轮齿间载荷分配及动态特性与常规直齿轮间的差异，综合考虑系统动力学特性，提出了一种细高齿齿轮齿根动应变的计算方法。

方法

采用集中质量法建立了系统动力学模型，通过Newmark-

法求解系统动力学方程，求解了齿轮副动态啮合力；利用有限元法建立了齿轮结构动力学分析模型，结合轮齿承载接触分析方法确定齿间载荷分配关系，通过有限元瞬态分析得到齿根应变时域历程；利用所提方法对不同转速及负载下细高齿齿轮的齿根动应变进行求解，将计算结果与常规直齿轮进行了对比。

结果

结果表明，细高齿齿轮单对轮齿载荷分配率变化范围在0.2~0.6，其齿根应变共经历两次先增大后减小的变化过程；随着输入转速及负载的增加，细高齿齿轮齿根应变峰值总体呈增大趋势，且不同工况下其齿根应变峰值较常规直齿轮显著降低。将所述方法获得的细高齿齿轮齿根动应变与试验结果进行对比，齿根应变峰值的计算与实测结果的相对误差小于10%，验证了动应变计算方法的有效性。

Abstract

Objective

Aiming at the difference of load sharing and dynamic characteristics between high-contact-ratio spur gears and conventional spur gears

a method for calculating the dynamic tooth root strain was proposed considering the dynamic characteristics of the gear system.

Methods

A dynamic model of the gear system was established with the lumped-mass method

and the dynamic meshing force was calculated by using the Newmark-

method to solve the system dynamics equations. The dynamic analysis model of gear structure was established by the finite element method

the load sharing between gear teeth was determined with the loaded tooth contact analysis method

and the time history of tooth root strain was calculated by the transient analysis method. The dynamic tooth root strain of the high-contact-ratio spur gear under different input speeds and torques was solved by using the proposed method

and the calculated results were compared with the conventional spur gear.

Results

The results indicate that the load sharing rate of the single tooth pair of high-contact-ratio spur gear is between 0.2 and 0.6

and the tooth root strain of high-contact-ratio spur gear increases and then decreases twice respectively. The peak value of tooth root strain of high-contact-ratio spur gear increases with the increase of input speed and torque

and the peak value of the tooth root strain of high-contact-ratio spur gear is obviously lower than that of conventional spur gears under different working conditions. The dynamic tooth root strain of high-contact-ratio spur gear obtained by the method was compared with the test results. The relative error between the peak value of the tooth root strain and the measured results is less than 10%

which verifies the validity of the calculation method.

关键词

Keywords

references

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