含行星架裂纹故障的行星齿轮箱振动仿真

王丹凤; 郭瑜

doi:10.13224/j.cnki.jasp.20210267

含行星架裂纹故障的行星齿轮箱振动仿真

doi: 10.13224/j.cnki.jasp.20210267

王丹凤,
郭瑜^,

昆明理工大学机电工程学院，昆明 650500

基金项目:

国家自然科学基金 51675251

云南省重点领域科技计划项目 202002AC080001

详细信息

作者简介:
王丹凤（1993-），女，博士生，主要从事行星齿轮箱故障诊断、建模研究。

通讯作者:
郭瑜（1971-），男，教授，博士，主要从事旋转机械故障诊断研究。E⁃mail：kmgary@163.com

中图分类号: V232.3
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出版历程
- 收稿日期: 2021-05-27

Vibration simulation of planetary gearbox with planet⁃carrier crack

WANG Danfeng,
GUO Yu^,

Faculty of Mechanical and Electrical Engineering，Kunming University of Science and Technology，Kunming 650500，China

摘要

摘要:
为深入了解行星架裂纹故障振动频谱结构，提出一种考虑时变传递路径和行星轮系载荷非均匀分配的振动仿真模型。根据裂纹导致的行星轮角位移函数，分析了行星轮角位移对行星轮系载荷分配特性的影响，仿真分析了行星架裂纹导致的行星轮角位移和行星轮系载荷非均匀分配下的频谱边带结构。仿真结果表明：行星轮个数为3时，边频带仅受行星轮角位移影响，随行星轮个数增加到4、5时，频谱边带受行星轮角位移和载荷分配共同影响，阶比谱出现以行星架旋转阶次为间隔的调制边带成分。通过对比行星轮个数为3的齿轮箱仿真与实测信号的阶比谱边带结构，验证了模型的有效性。
- 行星架裂纹 /
- 时变传递路径 /
- 载荷分配系数 /
- 频谱边带 /
- 振动仿真
Abstract:
To deeply understand the vibration spectrum structure，a vibration simulation model considering the time⁃varying transfer paths and the uneven load sharing of the planetary gearbox was proposed.According to angular shift function of planet gears caused by the crack，the effect of the angular shift of planet gears on load sharing was analyzed.The spectrum sideband structure under the planet gear angular shift caused by the planet⁃carrier crack and the non⁃uniform load distribution was simulated and analyzed.The simulation results showed that when the number of planet gears was 3，the sideband was only affected by the additional angular displacement of planet gears.When the number increased to 4 and 5，the spectral sideband was jointly affected by the angular displacement and load distribution among planets，and the modulation sideband components with the rotation order of carrier appeared in the order spectrum.By comparing the order spectrum structure of the simulated signal and measured signal of the planetary gearbox with 3 planets，the effectiveness of the proposed model was verified.
- planet⁃carrier crack /
- time⁃varying transfer path /
- load sharing factor /
- spectral sideband /
- vibration simulation
注释:

1) 王碧珺

HTML

图 1 5个行星轮均布的行星齿轮箱

Figure 1. Planetary gearbox with 5 equally spaced planets

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图 2 行星轮系载荷分配曲线

Figure 2. Load sharing curves among all planet gears

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图 3 故障行星齿轮振动传递路径

Figure 3. Vibration transfer paths of the fault planet gear

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图 4 3个行星轮行星架裂纹故障振动信号阶比谱

Figure 4. Order spectrum of planet⁃carrier crack fault vibration signal with 3 planets

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图 5 4个行星轮行星架裂纹故障振动信号阶比谱

Figure 5. Order spectrum of planet⁃carrier crack fault vibration signal with 4 planets

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图 6 5个行星轮行星架裂纹故障振动信号阶比谱

Figure 6. Order spectrum of planet⁃carrier crack fault vibration signal with 5 planets

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图 7 行星齿轮传动实验台

Figure 7. Planetary gear transmission test rig

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图 8 行星架裂纹故障

Figure 8. Planet⁃carrier crack fault

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图 9 振动信号处理流程图

Figure 9. Flow chart of vibration signal processing

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图 10 行星架转速曲线

Figure 10. Speed profile of planet⁃carrier

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图 11 正常和行星架裂纹振动信号对比

Figure 11. Comparison of vibration signal between normal and planet⁃carrier crack

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图 12 正常和行星架裂纹故障振动信号阶比谱放大图

Figure 12. Partial magnification of vibration signal order spectrum of the normal and planet⁃carrier crack

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表 1 行星架裂纹导致的各行星轮角位移^[15]

Table 1. Angular shift of planets caused by carrier⁃plate crack^[15]

裂纹长度/mm	行星轮编号
裂纹长度/mm	1	2	3	4	5
0	0.17	0.17	0.17	0.17	0.17
11.15	0.18	0.17	0.18	0.17	0.16
22.30	0.19	0.17	0.18	0.17	0.16
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$
78.05	0.32	0.18	0.19	0.16	0.12
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$
133.80	1.07	0.16	0.29	0.06	0.01
$⋮$	$⋮$	$⋮$	$⋮$	$⋮$	$⋮$

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表 2 行星轮角位移函数的拟合系数

Table 2. Fitting parameters of the angular shift function of each planet gear

行星轮编号	a₁_i/10^-8	a₂_i/10^-5	a₃_i/10^-4	θ₀/（°）
1	50.0	-4.12	22.8	0.17
2	13.8	-2.04	7.59	0.17
3	5.11	-3.14	3.22	0.17
4	-7.86	0.757	-2.48	0.17
5	4.66	-1.50	3.00	0.17

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表 3 行星齿轮箱参数

Table 3. Parameters of the planetary gearbox

参数	齿轮
参数	太阳轮	行星轮（3个）	齿圈
齿数	Z_s=28	Z_p=20	Z_r=71
模数/mm	2.25	2.25	2.25
齿形角/（°）	20	20	20

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