椭圆齿轮传动系统齿面接触与动态磨损分析

doi:10.13229/j.cnki.jdxbgxb20200538

摘要/Abstract

摘要：

为获取椭圆齿轮齿面动态磨损特性，以一对相互啮合的椭圆齿轮副为研究对象，基于Hertz接触理论和Archard磨损计算通式，建立了椭圆齿轮齿面接触应力和齿面磨损计算模型，运用数值计算方法模拟了齿面接触应力和齿面啮合点处的磨损分布情况，获取了不同设计参数和工况参数条件下齿面接触应力及齿面磨损量随齿廓压力角的分布规律。分析表明：齿面接触应力在单、双齿啮合交替区域会发生突变，随着偏心率和转矩的增大，齿面接触应力呈现出递增趋势。齿面磨损量由齿根到齿顶先减小后增大，在节圆处理论磨损量趋于零；齿面磨损量随着偏心率、输入转矩和转速的增加而呈现出递增趋势。因此，在满足既定要求和运动规律的条件下，减小偏心率、输入转矩及转速有利于降低齿面磨损。研究结果对后续非圆齿轮的动态磨损分析和轮齿修形具有一定的指导意义。

关键词: 机械制造自动化, 椭圆齿轮, 偏心率, 压力角, 接触应力, 齿轮磨损

Abstract:

In order to obtain the dynamic wear characteristics of elliptic gears， a pair of elliptic gears is taken as the research object. Based on Hertz contact theory and Arcard wear calculation formula， the calculation model of contact stress and wear of elliptic gears is established， and the numerical calculation method is used to simulate the contact stress and wear distribution at the meshing point. The distribution of the contact stress and the wear of the tooth surface with the pressure angle of the tooth profile under different design parameters and working conditions are obtained. The analysis shows that the contact stress of the tooth surface will change suddenly in the alternate region of single and double teeth engagement. With the increase of eccentricity and torque， the contact stress of the tooth surface presents an increasing trend. The amount of tooth surface wear decreases first and then increases from the root to the top of the tooth， and tends to zero in the pitch circle treatment. The amount of tooth surface wear increases with the increase of eccentricity， input torque and rotation speed. Therefore， under the condition of satisfying the given requirements and motion rules， reducing the eccentricity， input torque and rotation speed is conducive to reducing the tooth surface wear. The research results can provide some guidance for the subsequent non-circular gear dynamic wear analysis and gear tooth modification.

Key words: mechanical manufacture and automation, elliptic gear, eccentricity, pressure angle, contact stress, gear wear

中图分类号:

TH132.424

刘永平,董长斌,魏永峭. 椭圆齿轮传动系统齿面接触与动态磨损分析[J]. 吉林大学学报(工学版), 2021, 51(5): 1620-1627.

Yong-ping LIU,Chang-bin DONG,Yong-qiao WEI. Analysis of tooth surface contact and dynamic wear of elliptic gear transmission system[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(5): 1620-1627.

图/表 12

图1

图2

图3

图4

表1

椭圆齿轮参数"

名称	数值
模数m	3
齿数Z	47
中心距a/mm	145
齿顶高系数h_a^*	1
顶隙系数C^*	0.25
齿宽b/mm	30
偏心率e	0.3287
节曲线方程r	$r = 64.667 1 ± 0.3287 c o s θ$

表1

图5

图6

图7

图8

图9

图10

图11

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