大型航空行星轮系内齿圈柔性与疲劳可靠性

doi:10.7527/S1000-6893.2024.31468

Abstract

Abstract:

The flexibility of the ring gear significantly influences the mechanical properties of planetary transmission at both the tooth meshing level and the system power split level， making it one of the most important design factors determining the service reliability of large aerospace planetary mechanisms. To analyze the way and extent to which the rim flexibility of the ring gear affects the fatigue reliability of the planetary system， a planetary system reliability assessment model is developed using the stress-strength interference theory and the full probability formula calculation. The model incorporates load and strength input variables obtained through the lumped mass finite element method and probabilistic life transformation test of the gear teeth. Finally， the mapping relationship between rim thickness and the reliability index of the planetary system is established， and the thickness range of the ring gear rim with the best reliability gain effect under the mass constraint is accurately determined. This study provides a technical reserve for the fatigue reliability design of large aviation planetary systems.

Key words: planetary gear transmission, ring gear flexibility, fatigue reliability, finite element, probability lifespan conversion

CLC Number:

V222

Ming LI, Xin WAN, Puzheng JI. Influence of ring gear flexibility on fatigue reliability in large aerospace planetary mechanisms[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(14): 231468.

Figures/Tables 20

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Table 1

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Fig.12

Table 2

Fig.13

Fig.14

Fig.15

Table 3

Kinematic parameters of planetary gear system

构件	角速度	相对角速度	单齿啮合次数
太阳轮	$ω S$	$p · ω S 1 + p$	$n S t = p · ω S · t · k P 1 + p$
行星轮	$ω S 1 - p$	$2 p · ω S 1 - p 2$	$n P S t = n P R t = 2 p · ω S · t p 2 - 1$
内齿圈	0	$- ω S 1 + p$	$n R t = ω S · t · k P 1 + p$
行星架	$ω S 1 + p$

Table 3

Fig.16

Fig.17

References 21

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参数	太阳轮	行星轮	内齿圈
模数/mm	5	5	5
齿数	84	56	196
齿轮个数	1	7	1
压力角/（°）	20	20	20
螺旋角/（°）	0	0	0
齿宽/mm	120	120	120
基圆直径/mm	394.671	263.114	920.899
基圆间距/mm	14.761	14.761	14.761
齿根圆角半径/mm	1.85	1.77	1.81
齿根圆半径/mm			496.25
外圆半径/mm			501.25-521.25
材料	1Cr18Ni9Ti	1Cr18Ni9Ti	1Cr18Ni9Ti
弹性模量/（10⁵ MPa）	2.07	2.07	2.07
泊松比	0.3	0.3	0.3

项目	参数	项目	参数
模数/mm	5	ISO质量等级	5
齿数	25	材料	1Cr18Ni9Ti
压力角/（°）	21	渗碳深度/mm	0.8±0.11
螺旋角/（°）	0	轮齿表面硬度	57~61 HRC
齿宽	32	轮齿齿芯硬度	32~46 HRC
齿根圆角半径/mm	1.7	精密加工方法	磨削

Influence of ring gear flexibility on fatigue reliability in large aerospace planetary mechanisms

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