基于围道积分的润滑接触齿轮微点蚀损伤特征模拟

doi:10.13229/j.cnki.jdxbgxb20200903

Abstract

Abstract:

A method was proposed to simulate the micro pitting on gear tooth surface considering the lubrication contact pair based on the contour integral， and the damage characteristics of micro pitting， i.e.， the variation law of stress intensity factor and the final pitting morphology of tooth surface were studied by establishing its two-dimensional finite element numerical model. The contact loads， interactions and elasto-hydro dynamic lubrication （EHL） conditions of the gears were considered in the lubrication contact model. The stress intensity factors K_I，K_II and the propagation angle θ_C at the crack tip were calculated by ABAQUS. Then the equivalent stress intensity factor K_σ was calculated according to the maximum tangential stress （MTS） criterion and used as the criterion for crack propagation. The influence of different lubrication conditions on the formation of micro pitting was further discussed. The results indicate that K_I and K_σ are increasing rapidly with larger crack length and the size of pitting is smaller when the gears are lubricated adequately. By contrast， K_I and K_σ are changing slowly with crack length and the size of pitting is larger when the gears are sparely lubricated. The research results can provide theoretical support for contact fatigue life analysis， on-line wear monitoring and meshing stiffness calculation of micro-pitting gears.

Key words: mechanical design and theory, micro pitting, contour integral, damage characteristics, maximum tangential stress criterion, lubrication conditions

CLC Number:

TH117.1

Yang ZHAO,Yang XIAO,Hao SUN,Wen-hao HUO,Song FENG,Yong LIAO. Numerical simulation of micro pitting damage characteristics of lubricated contact gears based on contour integral[J].Journal of Jilin University(Engineering and Technology Edition), 2022, 52(4): 799-810.

Figures/Tables 19

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References 29

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参数	名称	数值
齿轮材料、结构参数	等效接触模型的半径R^*	10 mm
	最大接触压力p₀	1550 MPa
	接触半长b	0.2 mm
	杨氏模量E	206 GPa
	泊松比μ	0.3
润滑油相关参数	密度ρ	900 kg/m³
	运动粘度v	220 mm²/s
	卷吸速度u	5 m/s
	压力粘度系数α	0.018 mm²/N

	a/μm	K_I /（MPa·m^1/2）	K_II /（MPa·m^1/2）	K_σ /（MPa·m^1/2）	θ_C /（°）	Eq.9 /10^-3
文献值	20	8.85	4.18	11.13	-39	4.08
本文值		8.65	4.04	10.84	-38.74	0.46
误差		2.26%	3.35%	2.61%	0.67%	/
文献值	22	15.67	3.29	16.64	-22	8.78
本文值		15.50	3.25	16.45	-21.95	0.63
误差		1.08%	1.22%	1.14%	0.23%	/
文献值	24	23.19	3.59	23.98	-15	811.01
本文值		26.65	3.64	27.37	-15.01	5.40
误差		14.92%	1.39%	14.14%	0.07%	/
文献值	26	53.32	5.66	54.2	-12	136.91
本文值		57.83	6.52	58.91	-12.56	3.91
误差		8.46%	15.19%	8.69%	4.67%	/

a/μm	工况	K_I /（MPa·m^1/2）	K_II /（MPa·m^1/2）	K_σ 最大值 /（MPa·m^1/2）	θ_C /（°）
20	I	0.16	-0.06	10.27 （工况IV）	-33.88 （工况IV）
	II	0.87	0.24
	III	8.31	3.26
	IV	8.74	3.27
	V	8.72	3.05
	VI	8.11	2.55
	VII	7.35	2.05
22	I	0.12	-0.05	14.70 （工况IV）	-19.35 （工况IV）
	II	1.29	0.15
	III	13.46	2.59
	IV	14.05	2.54
	V	13.84	2.28
	VI	12.67	1.80
	VII	11.28	1.32
24	I	0.14	-0.02	22.67 （工况IV）	-14.66 （工况IV）
	II	1.96	0.19
	III	21.23	3.00
	IV	22.10	2.94
	V	21.76	2.66
	VI	19.81	2.10
	VII	17.58	1.56
26	I	0.25	0.01	41.42 （工况IV）	-13.17 （工况IV）
	II	3.57	0.37
	III	38.99	4.84
	IV	40.59	4.81
	V	39.98	4.46
	VI	36.40	3.70
	VII	32.31	2.93
28	I	0.69	0.07	113.73 （工况IV）	-12.40 （工况IV）
	II	9.85	1.05
	III	107.30	12.23
	IV	111.70	12.43
	V	110.00	11.87
	VI	100.30	10.31
	VII	89.04	8.69

润滑状态	油膜厚度h_c /μm	a /μm	K_I /（MPa·m^1/2）	K_II /（MPa·m^1/2）	K_σ /（MPa·m^1/2）	θ_C /（°）
边界润滑	2	20	8.69	3.23	10.19	-33.71
		22	12.81	2.03	13.27	-17.19
		24	15.38	1.19	15.52	-8.72
		26	16.04	0.36	16.05	-2.58
		28	14.83	-0.65	14.87	4.98
部分弹流润滑	4	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.7	-19.35
		24	20.23	2.61	20.72	-14.25
		26	24.79	1.34	24.9	-6.15
		28	22.86	-0.63	22.89	3.14
部分弹流润滑	6	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.7	-19.35
		24	22.10	2.94	22.67	-14.66
		26	31.65	2.78	32.01	-9.88
		28	29.85	-0.15	29.85	0.58
部分弹流润滑	8	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.7	-19.35
		24	22.10	2.94	22.67	-14.66
		26	37.06	4.00	37.69	-12.05
		28	36.68	0.49	36.69	-1.52
全膜润滑	10	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.7	-19.35
		24	22.10	2.94	22.67	-14.66
		26	40.59	4.81	41.42	-13.17
		28	43.30	1.23	43.35	-3.26
全膜润滑	12	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.7	-19.35
		24	22.10	2.94	22.67	-14.66
		26	40.59	4.81	41.42	-13.17
		28	50.14	2.38	50.31	-5.42
全膜润滑	∞	20	8.74	3.27	10.27	-33.88
		22	14.05	2.54	14.70	-19.35
		24	22.10	2.94	22.67	-14.66
		26	40.59	4.81	41.42	-13.17
		28	111.70	12.43	113.73	-12.40

油膜厚度 h_c/μm	裂纹最终长度a/μm	点蚀长轴尺寸L/μm	点蚀深度D /μm
2	32.50	29.057	6.84
4	30.83	26.744	6.84
6	30.49	26.163	6.84
8	30.33	25.866	6.84
10	30.25	25.694	6.84
12	30.22	25.601	6.84
∞	30.12	25.320	6.84

Numerical simulation of micro pitting damage characteristics of lubricated contact gears based on contour integral

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