非圆齿轮传动误差及齿侧间隙的数值模拟与试验

doi:10.13229/j.cnki.jdxbgxb.20221060

摘要/Abstract

摘要：

非圆齿轮的传动误差模型建立困难以及齿侧间隙难以获取等问题限制了它在精密场合的应用。为了提高非圆齿轮的传动精度，在考虑偏心误差的基础上，基于啮合线增量法建立了双向传动下的非圆齿轮传动误差模型及齿侧间隙模型，分析了偏心率及偏心误差对双向传动误差和齿侧间隙的影响，并通过传动试验验证了理论分析的正确性。分析表明：非圆齿轮的齿侧间隙可通过双向传动误差获得；随着偏心率和偏心误差的增大，双向传动误差均呈现递增趋势；优化初始相位在一定程度上可以降低传动误差和齿侧间隙；随着负载的增大，传动误差和齿侧间隙也呈现递增趋势，且由于轮齿变形的存在，齿侧间隙有一定累计值产生。

关键词: 机械制造及其自动化, 非圆齿轮, 啮合线增量, 传动误差, 齿侧间隙, 传动试验

Abstract:

The difficulty in establishing the transmission error model of non-circular gears and obtaining the backlash limit its application in precision occasions. In order to improve the transmission accuracy of non-circular gears， the non-circular gear transmission error model and backlash model under bidirectional transmission are established based on the meshing line incremental method considering the eccentricity error. The influence of eccentricity and eccentricity error on bidirectional transmission error and backlash are analyzed， and the correctness of theoretical analysis is verified by transmission test. The analysis shows that the backlash of the non-circular gear can be obtained by the bidirectional transmission error. With the increase of eccentricity and eccentricity error， the two-way transmission error shows an increasing trend. Optimizing the initial phase can reduce the transmission error and backlash to a certain extent. As the load increases， the transmission error and backlash also show an increasing trend. And due to the existence of gear tooth deformation， there is a certain cumulative value of the backlash.

Key words: mechanical manufacturing and automation, non-circular gear, meshing line increment, transmission error, gear backlash, transmission experiment

中图分类号:

TH132.4

董长斌,李龙坤,刘永平,裴王鹏. 非圆齿轮传动误差及齿侧间隙的数值模拟与试验[J]. 吉林大学学报(工学版), 2024, 54(4): 865-873.

Chang-bin DONG,Long-kun LI,Yong-ping LIU,Wang-peng PEI. Numerical simulation and experiment of non-circular gear transmission error and backlash[J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 865-873.

图/表 15

图1

图2

图3

表 1

非圆齿轮副参数"

名称	数值
模数m/mm	3
中心距a/mm	150
顶隙系数C^*	0.25
偏心率k	0.2
齿数Z	47
齿顶高系数 $h a *$	1
齿宽B/mm	30
节曲线方程r	$64.667 1 ± 0.3287 c o s ? θ$

表 1

图4

图5

图6

图7

图8

图 9

图10

表2

非圆齿轮传动试验台的详细配置信息"

部件名称	型号	规格
转矩传感器	YH-502	测量量程：20 N·m和2000 N·m；测量精度：±0.1%；电源电压：24 V DC；输出信号：10±5 kHz；扭矩精度： $< ± 0.1 % F ? S$ ；频率响应： $100 ? μ s$
噪声传感器	RS-ZS-V05-2	量程：30~120 dB；频率范围：0.02~12.5 kHz；测量误差：±1.5 dB
红外温度传感器	CK-01A	温度范围：-20~300 ℃；光谱范围： $8$ ~ $14 ? μ m$ ；测量精度：±1%；响应时间：50~300 ms可选；
振动传感器	CA-YD-107	频率响应：0.5~6000 Hz；最大横向灵敏度：≤5%；轴向灵敏度： $50 ? P C / g$ ；磁灵敏度：2 g/T；基座应变： $0.2 ? m g / μ g$
圆光栅	K-100	电源电压：24 V DC；分辨率：48 000 P/R；防护等级：IP50
交流伺服电动机	MSME504G	额定转速：3000 r/min；额定电压：400 V AC（三相）；转矩：15.9 N·m；防护等级：IP67
伺服电动机驱动器	MFDTA464	额定电压：400 V AC（三相）
PLC	S7-200SMART	电源电压：220 V AC；I/O点：30；AO通道：4
数据采集卡	NI-6351	采样率：1.25 MS/s；AI通道：16；A/D精度：16位；AO通道：2；DIO通道：24；计数通道：4

表2

图11

图12

图13

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