Simulation for transmission error and mesh-in impact excitation of high speed gears and their tooth surface optimal modification

PDF(1513 KB)

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (23) : 103-109.

JIA Chao1, FANG Zongde2

Author information +

History +

Abstract

Aiming at cases of influence of contact ratio being not considered in traditional tooth modification methods, and noise and vibration reduction effect being not significant only considering reduction of amplitude of loaded transmission error (ALTE) for high speed gears, a new tooth surface modification method considering contact ratio or overlap ratio, and an approach for calculating mesh-in impact force based on the tooth contact analysis (TCA) and the loaded tooth contact analysis (LTCA) were proposed.Ultimately, based on the intelligent optimization algorithm and the proposed tooth surface modification method, an optimization model was established to minimize ALTE and mesh-in impact force, and the optimal tooth surface modification values were determined through the multi-objective optimization.The actual example calculation results showed that compared with the traditional tooth surface modification, the proposed new method can be used to effectively reduce fluctuation of loaded transmission error and mesh-in impact force.

Key words

high speed gears / tooth contact analysis / loaded tooth contact analysis / mesh-in impact / loaded transmission error / tooth surface modification

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

JIA Chao1, FANG Zongde2. Simulation for transmission error and mesh-in impact excitation of high speed gears and their tooth surface optimal modification[J]. Journal of Vibration and Shock, 2019, 38(23): 103-109

References

[1] Litvin F L, Fuentes A. Gear Geometry and Applied Theory [M]. Cambridge University Press, New York, 2004.
[2] Bruyère J, Gu V, Velex P. On the analytical definition of profile modifications minimising transmission error variations in narrow-faced spur helical gears [J]. Mechanism and Machine Theory, 2015, 92: 257-272.
[3] Korta J A, Mundo D. Multi-objective micro-geometry optimization of gear tooth supported by response surface methodology [J]. Mechanism and Machine Theory, 2017, 109: 278-295.
[4] 贾超, 方宗德, 张永振. 高速内啮合人字齿轮多目标优化修形 [J]. 哈尔滨工业大学学报, 2017, 49(1): 166-172.
JIA Chao, FANG Zongde, ZHANG Yongzhen. Multi-objective optimal modification for internal double helical gears with high speed [J]. Journal of Harbin Institute of Technology, 2017, 49(1): 166-172.
[5] 詹安东, 王树人, 唐树为. 高速齿轮齿部修形技术研究 [J].机械设计, 2000, 8(8): 8-10.
ZHAN Andong, WANG Shuren, TANG Shuwei. A study on tooth dressing technique of high speed gears [J]. Journal of Machine Design, 2000, 8(8): 8-10.
[6] 王峰, 方宗德, 李声晋. 多载荷工况下人字齿轮传动系统振动特性分析 [J]. 振动与冲击, 2013, 32(1): 49-52.
WANG Feng, FANG Zongde, LI Shengjin. Dynamic characteristics of a double helical gear under multi-load [J]. Journal of Vibration and Shock, 2013, 32(1): 49-52.
[7] Wang F, Xu X, Fang Z, et al. Design and analysis of herringbone gear with sixth-order transmission error based on meshing vibration optimization [J]. Advances in Mechanical Engineering, 2017, 9(6): 168781401770435.
[8] Yuan B, Chang S, Liu G, et al. Optimization of bias modification and dynamic behavior analysis of helical gear system [J]. Advances in Mechanical Engineering, 2017, 9(11): 168781401773325.
[9] 张金梅, 刘更, 周建星等. 考虑啮入冲击作用下减速器的振动噪音分析 [J]. 振动与冲击, 2013, 32(13): 118-122.
ZHANG Jinmei, LIU Geng, ZHOU Jianxing. Vibration and noise radiation analysis for a gear reducer considering meshing impact [J]. Journal of Vibration and Shock, 2013, 32(13): 118-122.
[10] Höhn B R. Improvements on noise reduction and efficiency of gears [J]. Meccanica, 2010, 45(3): 425-437.
[11] Munro R, Morrish L, Palmer D. Gear transmission error outside the normal path of contact due to corner and top contact [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1999, 213(4): 389-400.
[12] Yu W, Mechefske C K. Analytical modeling of spur gear corner contact effects [J]. Mechanism and Machine Theory, 2016, 96: 146-164.
[13] Lin T, Ou H, Li R. A finite element method for 3D static and dynamic contact/impact analysis of gear drives [J]. Computer Methods in Applied Mechanics and Engineering, 2007, 196(9): 1716-1728.
[14] Seireg A, Houser D R. Evaluation of dynamic factors for spur and helical gears [J]. Journal of Engineering for Industry, 1970, 92: 504.
[15] 方宗德. 修形斜齿轮的轮齿接触分析 [J]. 航空动力学报, 1997, 12(3): 247-250.
FANG Zongde. Tooth contact analysis of modified helical gears [J]. Journal of Aerospace Power, 1997, 12(3): 247-250.
[16] 方宗德. 修形斜齿轮的承载接触分析 [J]. 航空动力学报, 1997, 12(3): 252-254.
FANG Zongde. Loaded tooth contact analysis of modified helical gears [J]. Journal of Aerospace Power, 1997, 12(3): 252-254.
[17] 铁摩辛柯, 古地尔, 徐芝纶. 弹性理论: Theory of elasticity [M]. 高等教育出版社, 2013.
[18] Ahmed F, Deb K. Multi-objective optimal path planning using elitist non-dominated sorting genetic algorithms [J] Soft Computing, 2013, 17(7): 1283-1299.