[1]贾超,姚立纲,张俊,等.修形渐开线斜齿轮啮入冲击计算[J].西安交通大学学报,2020,54(09):058-65+80.[doi:10.7652/xjtuxb202009006]
 JIA Chao,YAO Ligang,ZHANG Jun,et al.Calculation of Mesh-in Impact of Modified Involute Helical Gears[J].Journal of Xi'an Jiaotong University,2020,54(09):058-65+80.[doi:10.7652/xjtuxb202009006]
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修形渐开线斜齿轮啮入冲击计算
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《西安交通大学学报》[ISSN:0253-987X/CN:61-1069/T]

卷:
54
期数:
2020年第09期
页码:
058-65+80
栏目:
出版日期:
2020-09-10

文章信息/Info

Title:
Calculation of Mesh-in Impact of Modified Involute Helical Gears
文章编号:
0253-987X(2020)09-0058-08
作者:
贾超12 姚立纲1 张俊1 方宗德2
1.福州大学机械工程及自动化学院, 350116, 福州; 2.西北工业大学机电学院, 710072, 西安
Author(s):
JIA Chao12 YAO Ligang1 ZHANG Jun1 FANG Zongde2
1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China; 2. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China
关键词:
渐开线斜齿轮 齿面修形 边缘接触 啮入冲击位置 啮入冲击力
Keywords:
involute helical gear tooth surface modification edge contact mesh-in impact position mesh-in impact force
分类号:
TH132.41
DOI:
10.7652/xjtuxb202009006
文献标志码:
A
摘要:
为更精确计算修形渐开线斜齿轮的啮入冲击力,提出了一种修形渐开线斜齿轮啮入冲击力的计算方法。基于齿面接触仿真,建立了综合考虑齿面修形和负载变形引起的基节差条件下未发生边缘接触时的齿轮副齿面-齿面接触仿真模型,以及发生边缘接触时的齿轮副顶点-齿面接触仿真模型,计算了修形斜齿轮啮入冲击位置随负载在修形齿面齿廓和齿向两个方向上的变化结果,并根据轮齿接触瞬时的能量守恒原则来求解啮入冲击力。基于提出的啮入冲击力计算方法和遗传优化算法建立了齿面修形优化设计模型,结合算例完成了啮入冲击力最小的齿面修形优化设计。研究结果表明:转速和负载对啮入冲击力产生较大的影响,在设定的载荷范围内,修形齿轮副啮入冲击力得到了有效减小; 齿轮副边缘接触会导致啮入冲击力迅速增大,修形设计中应避免。
Abstract:
To calculate the mesh-in impact force of modified involute helical gears more accurately, a calculation method of mesh-in impact force for modified involute helical gears is proposed. Based on the tooth contact simulation, the “tooth surface-tooth surface” contact simulation model without edge contact of gears and the “tip point-tooth surface” contact simulation model with edge contact of gears are set up in consideration of the base pitch difference which is caused by the tooth surface modification and loaded tooth deformation, and the results of the variation of mesh-in impact position in both the tooth profile and the longitudinal directions with loads are calculated. The mesh-in impact force is calculated according to the energy conservation at the moment of teeth coming into contact. An optimal design model of tooth modification is set up based on the proposed method and the genetic optimization algorithm. Combined with an example, an optimal design of tooth modification with minimum mesh-in impact force is completed. The results show that both rotation speed and load have great effects on the mesh-in impact force, and the mesh-in impact force of the modified gears is reduced effectively within the set load range. Rapid increase of mesh-in impact force may be caused by the edge contact of gears and should be avoided in the design of tooth modification.

参考文献/References:

[1] 王玉芳, 童忠钫. 齿轮加速度噪声的研究 [J]. 振动与冲击, 1991(1): 42-48.
[2] 姚文席, 魏任之. 渐开线直齿轮的啮合冲击研究 [J]. 振动与冲击, 1990(4): 57-61.
[3] 唐进元, 肖利民. 齿轮齿顶修缘时啮合冲击速度的计算 [J]. 长沙铁道学院学报, 1995, 13(1): 26-30.
TANG Jinyuan, XIAO Limin. The engagement shock velocity calculation of gear top modification [J]. Journal of Changsha Railway University, 1995, 13(1): 26-30.
[4] 武宝林, 杨素君, 姚俊红. 齿轮传动中啮合冲击的理论分析 [J]. 机械科学与技术, 2003, 22(1): 55-57.
WU Baolin, YANG Sujun, YAO Junhong. Theoretical analysis on meshing impact of involute gears [J]. Mechanical Science and Technology, 2003, 22(1): 55-57.
[5] 盛云, 武宝林. 齿轮传动中的啮合冲击的计算分析 [J]. 机械设计, 2005, 22(7): 41-43.
SHENG Yun, WU Baolin. Calculation analysis on meshing impact in gear transmission [J]. Journal of Machine Design, 2005, 22(7): 41-43.
[6] 谢海东, 周照耀, 夏伟, 等. 斜齿轮传动中啮合冲击数值研究 [J]. 机械传动, 2005, 29(3): 6-9.
XIE Haidong, ZHOU Zhaoyao, XIA Wei, et al. Numerical study on meshing impact of helical gear [J]. Journal of Mechanical Transmission, 2005, 29(3): 6-9.
[7] 周长江, 唐进元, 钟志华. 齿轮传动的线外啮合与冲击摩擦 [J]. 机械工程学报, 2008, 44(3): 75-81.
ZHOU Changjiang, TANG Jinyuan, ZHONG Zhihua. Corner contact and impact friction of gear drive [J]. Chinese Journal of Mechanical Engineering, 2008, 44(3): 75-81.
[8] 黄中华, 张晓建, 周玉军. 渐开线齿轮啮合碰撞力仿真 [J]. 中南大学学报(自然科学版), 2011, 42(2): 379-383.
HUANG Zhonghua, ZHANG Xiaojian, ZHON Yujun. Simulation of contact force of involute gear meshing [J]. Journal of Central South University(Science and Technology), 2011, 42(2): 379-383.
[9] WINTER H, GERBER H, MULLER R. Investigation on the excitation of vibration and noise at spur and helical gears [C]∥Proceedings of the 1989 ASME International Power Transmission and Gearing Conference. New York, USA: ASME, 1989: 765-772.
[10] MUNRO R G, 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.
[11] WECK M, MAUER G. Optimum tooth flank corrections for helical gears [J]. Journal of Mechanical De-sign, 1990, 112(4): 584-589.
[12] JAO T C, DEVLIN M T, MILNER J, et al. Influence of surface roughness on gear pitting behavior [J]. Gear Technology, 2006, 9(3): 31-38.
[13] LIN Tengjiao, OU H, LI Runfang. 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(9/10/11/12): 1716-1728.
[14] YU Wennian, MECHEFSKE C K. Analytical modeling of spur gear corner contact effects [J]. Mechanism and Machine Theory, 2016, 96: 146-164.
[15] WANG Peiyu, FAN S C, HUANG Zigui. Spiral bevel gear dynamic contact and tooth impact analysis [J]. Journal of Mechanical Design, 2011, 133: 084501.
[16] 铁摩辛柯, 古地尔, 徐芝纶. 弹性理论 [M]. 北京: 高等教育出版社, 2013: 501-504.
[17] 贾超, 方宗德, 张永振. 高度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.

备注/Memo

备注/Memo:
收稿日期: 2019-10-26。作者简介: 贾超(1985—),男,讲师。基金项目: 国家自然科学基金资助项目(51875105)。
更新日期/Last Update: 2020-09-10