吉林大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (6): 1772-1779.doi: 10.13229/j.cnki.jdxbgxb201606003

Previous Articles     Next Articles

Optimization of macro-geometric parameters of helical gears of transmissions to reduce vibration

ZONG Chang-fu1, REN Ming-hui1, 2, WAN Ying1, CHEN Tao2, BAI Ying-bo3   

  1. 1.State Key Laboratory of Automotive Simulation and Control,Jilin University,Changchun 130022,China;
    2.R&
    D Center, China FAW Group Corporation, Changchun 130062,China;
    3.College of Mechanical Science and Engineering, Jilin University, Changchun 130022,China
  • Received:2016-01-25 Online:2016-11-20 Published:2016-11-20

RICH HTML

0   

PDF (PC)

317

Abstract: A method to optimize the macro-parameters of helical gears in transmissions is developed to reduce meshing vibration in initial design phase of the transmission gearbox. In the optimization model, the optimization variables include the modulus, the helical angle, the tooth wide, the top gap coefficient etc. The optimization target is the synthesis of reducing meshing vibration and reducing the volume of the gear pair. The constraint conditions include the standard requirements and the strength requirement. The fluctuation value of the dynamic transmission error is considered as the index of the vibration. To calculate the dynamic transmission error of the helical gear pairs, the helical gear pair is approximated as the superposition of many smaller spur gear pairs, and the phase difference of the meshing angles of adjacent smaller spur gear pairs is considered. The deformation calculated by Ishikawa method and the circumferential deformation are considered in the dynamic transmission error and the dynamic meshing stiffness calculation of the smaller spur gear pairs. The optimization results show that the method developed in this paper can effectively reduce the transmission error of the helical gear by 41% and reduce the volume by 1.34%.

Key words: vehicle engineering, transmission, helical gears, transmission error, vibration damping optimization, macro-geometric parameters

CLC Number: 

  • U463.212
[1] 李宏坤,郭骋,房世利,等. 齿轮箱减振降噪优化设计方法研究[J]. 振动与冲击,2013,32(17):150-154.
Li Hong-kun, Guo Cheng, Fang Shi-li, et al. Optimization design method for gearbox's vibration and noise reduction[J]. Journal of Vibration and Shock, 2013,32(17):150-154.
[2] 李润方,王建军. 齿轮系统动力学——振动冲击噪声[M]. 北京:科学出版社,1997:383-392.
[3] 蒋进科,方宗德,苏进展. 宽斜齿轮多目标修形优化设计[J]. 西安交通大学学报, 2014, 48(8): 91-97.
Jiang Jin-ke, Fang Zong-de, Su Jin-zhan. Multi-objective optimal and modified design for wide helical gear[J]. Journal of Xi'an Jiaotong University, 2014,48(8):91-97.
[4] 袁哲,孙志礼,王丹,等. 基于遗传算法的直齿圆柱齿轮修形优化减振[J]. 东北大学学报:自然科学版, 2010,31(6):873-876.
Yuan Zhe, Sun Zhi-li, Wang Dan, et al. GA-based optimum profile modification of spur gears for vibration damping[J]. Journal of Northeastern University(Natural Science),2010,31(6):873-876.
[5] 吴勇军,王建军,韩勤锴,等. 基于接触有限元分析的斜齿轮齿廓修形与实验[J]. 航空动力学报,2011,26(2):409-415.
Wu Yong-jun, Wang Jian-jun, Han Qin-kai, et al. Tooth profile modification of helical gears and experimental study based on finite element contact analysis[J]. Journal of Aerospace Power,2011,26(2):409-415.
[6] 赵宁,杨杰. 高重合度圆柱齿轮传动多目标优化设计[J]. 机械传动,2012,36(7):43-46.
Zhao Ning, Yang Jie. Multi-objective optimization design of high contact ratio cylindrical gear drive[J]. Journal of Mechanical Transmission,2012,36(7):43-46.
[7] 蒋春明,阮米庆. 汽车机械式变速器多目标可靠性优化设计[J]. 汽车工程,2007,29(12):1090-1093.
Jiang Chun-ming, Ruan Mi-qing. Multi-objective reliability optimal design of automotive mechanical transmission[J]. Automotive Engineering,2007,29(12):1090-1093.
[8] Singh R. Dynamic transmission error prediction of helical gear pair under sliding friction using Floquet theory[J]. Journal of Mechanical Design,2008,130(5):680-682.
[9] 常乐浩. 平行轴齿轮传动系统动力学通用建模方法与动态激励影响规律研究[D]. 西安:西北工业大学机电学院,2014.
Chang Le-hao. A generalized dyamic model for parallel shaft gear transmission and the influences of dynamic excitations[D]. Xi'an:School of Mechanical Engineering, Northwestern Polytechnical Univer-sity, 2014.
[10] 李瑰贤,于广滨,温建民,等. 求解齿轮系统非线性动力学微分方程的多尺度方法[J]. 吉林大学学报:工学版,2008,38(1):75-79.
Li Gui-xian, Yu Guang-bin, Wen Jian-min, et al. Method of multiple scales in solving nonlinear dynamic differential equations of gear systems[J]. Journal of Jilin University (Engineering and Technology Edition),2008,38(1):75-79.
[11] 李亚鹏,孙伟,魏静,等. 齿轮时变啮合刚度改进计算方法[J]. 机械传动,2010,34(5):22-26.
Li Ya-peng, Sun Wei, Wei Jing, et al. Study on the improved algorithm of the time-varying meshing stiffness of gear[J]. Journal of Mechanical Transmission,2010,34(5):22-26.
[12] Wei J, Gao P, Hu X, et al. Effects of dynamic transmission errors and vibration stability in helical gears[J]. Journal of Mechanical Science and Technology,2014,28(6):2253-2262.
[13] Kang J S, Choi Y S. Optimization of helix angle for helical gear system[J]. Journal of Mechanical Science and Technology,2008,22(12):2393-2402.
[14] 刘志峰,张志民,张敬莹,等. 基于多项式的等高齿锥齿轮时变啮合刚度建模[J]. 吉林大学学报:工学版,2013,43(4):939-944.
Liu Zhi-feng, Zhang Zhi-min, Zhang Jing-ying, et al. Modelling of high-spiral bevel gear mesh stiffness based on polynomial[J]. Journal of Jilin University(Engineering and Technology Edition),2013,43(4):939-944.
[15] 符升平,项昌乐,姚寿文,等. 基于刚柔耦合动力学的齿轮传动系统动态特性[J]. 吉林大学学报:工学版,2011,41(2):382-386.
Fu Sheng-ping, Xiang Chang-le, Yao Shou-wen, et al. Dynamic characteristic of gear transmission system based on rigid and flexible coupled dynamics[J]. Journal of Jilin University(Engineering and Technology Edition),2011,41(2):382-386.
[16] GB/T3480-1997. 渐开线圆柱齿轮承载能力计算方法[S].
[1] CHANG Cheng,SONG Chuan-xue,ZHANG Ya-ge,SHAO Yu-long,ZHOU Fang. Minimizing inverter capacity of doubly-fed machine driving electric vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1629-1635.
[2] XI Li-he,ZHANG Xin,SUN Chuan-yang,WANG Ze-xing,JIANG Tao. Adaptive energy management strategy for extended range electric vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1636-1644.
[3] HE Ren,YANG Liu,HU Dong-hai. Design and analysis of refrigeration system supplied by solar auxiliary power of refrigerator car [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1645-1652.
[4] NA Jing-xin,MU Wen-long,FAN Yi-sa,TAN Wei,YANG Jia-zhou. Effect of hygrothermal aging on steel-aluminum adhesive joints for automotive applications [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1653-1660.
[5] LIU Yu-mei,LIU Li,CAO Xiao-ning,XIONG Ming-ye,ZHUANG Jiao-jiao. Construction on collision avoidance model of bogie dynamic simulation test bench [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1661-1668.
[6] ZHAO Wei-qiang, GAO Ke, WANG Wen-bin. Prevention of instability control of commercial vehicle based on electric-hydraulic coupling steering system [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1305-1312.
[7] SONG Da-feng, WU Xi-tao, ZENG Xiao-hua, YANG Nan-nan, LI Wen-yuan. Life cycle cost analysis of mild hybrid heavy truck based on theoretical fuel consumption model [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1313-1323.
[8] ZHU Jian-feng, ZHANG Jun-yuan, CHEN Xiao-kai, HONG Guang-hui, SONG Zheng-chao, CAO Jie. Design modification for automotive body structure based on seat pull safety performance [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1324-1330.
[9] NA Jing-xin, PU Lei-xin, FAN Yi-sa, SHEN Chuan-liang. Effect of temperature and humidity on the failure strength of Sikaflex-265 aluminum adhesive joints [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1331-1338.
[10] WANG Yan, GAO Qing, WANG Guo-hua, ZHANG Tian-shi, YUAN Meng. Simulation of mixed inner air-flow integrated thermal management with temperature uniformity of Li-ion battery [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1339-1348.
[11] JIN Li-sheng, XIE Xian-yi, GAO Lin-lin, GUO Bai-cang. Distributed electric vehicle stability control based on quadratic programming [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1349-1359.
[12] KUI Hai-lin, BAO Cui-zhu, LI Hong-xue, LI Ming-da. Idling time prediction method based on least square support vector machine [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1360-1365.
[13] JIANG Ji-hai, GE Ze-hua, YANG Chen, LIANG Hai-jian. Differentiator-based discrete variable structure controller for direct drive electro-hydraulic servo system [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1492-1499.
[14] LIU Jian-fang, WANG Ji-bo, LIU Guo-jun, LI Xin-bo, LIANG Shi-hai, YANG Zhi-gang. PMMA micromixer embedded with 3D channel based on piezoelectric actuation [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1500-1507.
[15] WANG De-jun, WEI Wei-li, BAO Ya-xin. Actuator fault diagnosis of ESC system considering crosswind interference [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1548-1555.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] LIU Song-shan, WANG Qing-nian, WANG Wei-hua, LIN Xin. Influence of inertial mass on damping and amplitude-frequency characteristic of regenerative suspension[J]. 吉林大学学报(工学版), 2013, 43(03): 557 -563 .
[2] CHU Liang, WANG Yan-bo, QI Fu-wei, ZHANG Yong-sheng. Control method of inlet valves for brake pressure fine regulation[J]. 吉林大学学报(工学版), 2013, 43(03): 564 -570 .
[3] LI Jing, WANG Zi-han, YU Chun-xian, HAN Zuo-yue, SUN Bo-hua. Design of control system to follow vehicle state with HIL test beach[J]. 吉林大学学报(工学版), 2013, 43(03): 577 -583 .
[4] HU Xing-jun, LI Teng-fei, WANG Jing-yu, YANG Bo, GUO Peng, LIAO Lei. Numerical simulation of the influence of rear-end panels on the wake flow field of a heavy-duty truck[J]. 吉林大学学报(工学版), 2013, 43(03): 595 -601 .
[5] WANG Tong-jian, CHEN Jin-shi, ZHAO Feng, ZHAO Qing-bo, LIU Xin-hui, YUAN Hua-shan. Mechanical-hydraulic co-simulation and experiment of full hydraulic steering systems[J]. 吉林大学学报(工学版), 2013, 43(03): 607 -612 .
[6] ZHANG Chun-qin, JIANG Gui-yan, WU Zheng-yan. Factors influencing motor vehicle travel departure time choice behavior[J]. 吉林大学学报(工学版), 2013, 43(03): 626 -632 .
[7] MA Wan-jing, XIE Han-zhou. Integrated control of main-signal and pre-signal on approach of intersection with double stop line[J]. 吉林大学学报(工学版), 2013, 43(03): 633 -639 .
[8] YU De-xin, TONG Qian, YANG Zhao-sheng, GAO Peng. Forecast model of emergency traffic evacuation time under major disaster[J]. 吉林大学学报(工学版), 2013, 43(03): 654 -658 .
[9] XIAO Yun, LEI Jun-qing, ZHANG Kun, LI Zhong-san. Fatigue stiffness degradation of prestressed concrete beam under multilevel amplitude cycle loading[J]. 吉林大学学报(工学版), 2013, 43(03): 665 -670 .
[10] XIAO Rui, DENG Zong-cai, LAN Ming-zhang, SHEN Chen-liang. Experiment research on proportions of reactive powder concrete without silica fume[J]. 吉林大学学报(工学版), 2013, 43(03): 671 -676 .
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd