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表 1 不同压力角下ES-ES模型、FS-ES模型和 Tribology, 2011, 31(6): 604–609 (in Chinese) [王文中, 操鸿, 胡纪
FS-FS模型沿齿宽方向最小膜厚值 滨. 渐开线斜齿轮非稳态弹流润滑数值模拟研究[J]. 摩擦学学报,
Table 1 The minimum oil film thickness along tooth 2011, 31(6): 604–609]. doi: 10.16078/j.tribology.2011.06.015.
width direction form ES-ES model,FS-ES model and FS- [ 6 ] Yang Yong, Wang Jiaxu, Zhou Qinghua, et al. Influence of surface
FS model at different pressure angles
roughnesson the mixed elastohydrodynamic lubrication performance
Pressure angle h min(ES-ES) /μm h min(FS-ES) /μm h min(FS-FS) /μm
of gear contact area[J]. Tribology, 2017, 37(2): 248–256
α=15° 0 0 0.078
(in Chinese) [杨勇, 王家序, 周青华, 等. 表面粗糙度特征对齿轮接
α=20° 0.376 0.53 0.624
触区润滑特性的影响[J]. 摩擦学学报, 2017, 37(2): 248–256]. doi:
α=25° 0.641 0.864 0.966
10.16078/j.tribology.2017.02.015.
[ 7 ] Jian Guangxiao, Wang Youqiang, Luo Heng, et al. Thermal
50.7%. 由此可见自由端面对润滑性能有明显的影响.
elastohydrodynamic lubrication of x-gears system based on time-
3 结论 varying meshing stiffness[J]. Tribology, 2020, 40(1): 21–29
(in Chinese) [菅光霄, 王优强, 罗恒, 等. 基于时变啮合刚度的变位
a. 基于重叠法、矩阵法和统一Reynolds方程法建 齿轮系统热弹流润滑研究[J]. 摩擦学学报, 2020, 40(1): 21–29].
立了考虑轮齿两侧自由端面影响的渐开线直齿轮有 doi: 10.16078/j.tribology.2019097.
限长弹流润滑模型,实现了模型的稳定求解. [ 8 ] Fan Zhimin, Wang Mingkai, Yin Zhaoming. Film stiffness of double
involute gears transmission[J]. Tribology, 2020, 40(3): 1–9
b. 相较于传统基于半空间假设的齿轮弹流润滑
(in Chinese) [樊智敏, 王明凯, 尹兆明. 双渐开线齿轮传动的油膜
模型,考虑轮齿自由端面影响的有限长弹流润滑模型
刚 度 研 究 [J]. 摩 擦 学 学 报 , 2020, 40(3): 1–9]. doi: 10.16078/j.
预测的峰值压力较低,轮齿端部应力集中较小,压力
tribology.2019198.
分布较为均匀,最小油膜厚度有明显增大. 计算表明, [ 9 ] Huang Jinglong, Miao Xiexing, Luo Shanming, et al. Influence of
轮齿自由端面对弹流计算结果有明显影响,在精密应 gear pressure angle on lubricate oil film thickness[J]. Lubrication
用中应予以考虑. Engineering, 2006, (5): 25–26 (in Chinese) [黄靖龙, 缪协兴, 罗善
c. 随着压力角的增大,接触压力水平降低,最小 明, 等. 齿轮压力角对润滑油膜厚度的影响[J]. 润滑与密封, 2006,
(5): 25–26]. doi: 10.3969/j.issn.0254-0150.2006.05.008.
油膜厚度增大. 压力角不同时,考虑一对啮合轮齿两
[10] Hetenyi M. A general solution for the elastic quarter space[J].
侧的自由端面后与传统齿轮润滑模型相比:自由端面
Journal of Applied Mechanics, 1970, 37(1): 70–76. doi: 10.1115/
对峰值压力的影响基本相当,在当前载荷条件下端面
1.3408492.
附近峰值压力降低17%左右;自由端面对最小膜厚的 [11] Guenfoud S, Bosakov S V, Laefer D F. A Ritz ’s method based
影响较大,压力角为20°时最小膜厚增大66%左右. solution for the contact problem of a deformable rectangular plate on
an elastic quarter-space[J]. International Journal of Solids and
参 考 文 献
Structures, 2010, 47(14-15): 1822–1829. doi: 10.1016/j.ijsolstr.
[ 1 ] Vichard J P. Transient effects in the lubrication of hertzian 2010.03.014.
contacts[J]. Journal of Mechanical Engineering Science, 1971, [12] Guilbault R. A fast correction for elastic quarter-space applied to 3D
13(3): 173–180. doi: 10.1243/JMES_JOUR_1971_013_030_02. modeling of edge contact problems[J]. Journal of Tribology, 2011,
[ 2 ] Wang K L, Cheng H S. A numerical solution to the dynamic load 133(3): 031402–1:10. doi: 10.1115/1.4003766.
film thickness and surface temperatures in spur gears Part I: [13] Wang W, Guo L, Wong P L, et al. Surface normal deformation in
Analysis[J]. Journal of Mechanical Design, 1981, 103(1): 177–187. elastic quarter-space[J]. Tribology International, 2017, 114: 358–
doi: 10.1115/1.3254859. 364. doi: 10.1016/j.triboint.2017.04.044.
[ 3 ] Yang Ping, Yang Peiran. Theory of thermal elastohydrodyanmic [14] Zhang Z M, Wang W, Wong P L. An explicit solution for the elastic
lubrication for helical gears[J]. Chinese Journal of Mechanical quarter-space problem in matrix formulation[J]. International
Engineering, 2006, 42(10): 43–48 (in Chinese) [杨萍, 杨沛然. 斜齿 Journal of Solids and Structures, 2013, 50(6): 976–980. doi: 10.1016/
圆柱齿轮的热弹流润滑理论[J]. 机械工程学报, 2006, 42(10): j.ijsolstr.2012.12.001.
43–48]. doi: 10.3321/j.issn:0577-6686.2006.10.007. [15] Guo L, Wang W, Zhang Z M, et al. Study on the free edge effect on
[ 4 ] Li S, Kahraman A. A transient mixed elastohydrodynamic finite line contact elastohydrodynamic lubrication[J]. Tribology
lubrication model for spur gear pairs[J]. Journal of Tribology, 2010, International, 2017, 116: 482–490. doi: 10.1016/j.triboint.2017.08.
132(1): 011501–1:9. doi: 10.1115/1.4000270. 010.
[ 5 ] Wang Wenzhong, Cao Hong, Hu Jibin. Numerical simulation of [16] Zhang H B, Wang W Z, Zhang S G, et al. Modeling of finite length
transient elastohydrodynamic lubrication of helical gears[J]. line contact problem with consideration of two free end surfaces[J].