基于多目标遗传算法的齿轮传动优化

李伟平; 马义超; 周惠; 张利轩

基于多目标遗传算法的齿轮传动优化

1.
湖南大学汽车车身先进设计制造国家重点实验室, 长沙 410082;
2.
株洲南方航空高级技工学校, 株洲 412002

基金项目:

国家高技术研究发展计划(863计划)项目(2012AA111802)

教育部长江学者与创新团队发展计划项目(531105050037)资助

详细信息

作者简介:
李伟平(1971-),副教授,博士,研究方向为汽车整车性能分析与优化和多体动力学,lwpzlbb@yeah.net

计量
- 文章访问数: 219
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- 被引次数: 0
出版历程
- 收稿日期: 2011-11-19

Multi-objective Optimization of Gear Transmission Using Genetic Algorithm

1.
State Key Laboratory of Advanced Designed Design and Manufacture for Vehicle Body of Hunan University, Hunan 410082;
2.
Zhuzhou Southern Airlines Senior Technical School, Zhuzhou 412002

摘要

摘要: 针对某牵引机车齿轮常出现齿面胶合、点蚀等问题,采用遗传算法,以重合度,齿面接触应力和齿根弯曲应力为优化目标,对齿轮的啮合参数进行了优化。为节省计算成本,在齿轮参数化有限元模型仿真计算的基础上,建立了齿面接触应力和齿根弯曲应力的代理模型。结果表明:遗传算法在多维区域内能快速有效的搜索Pareto解集,实现多目标的优化。以优化的结果对齿轮进行重新设计后,经有限元仿真验证,轮齿齿面接触应力及齿根弯曲应力均得到有效降低。
- 多目标遗传算法 /
- 齿轮优化 /
- 近似模型
Abstract: Based on the fact that some traction engine gears often have tooth surface veneer and pitting problems,thegear contact parameters including the contact ratio, tooth contact stress and tooth root bending stress were optimized byusing the multi-objective genetic algorithm,then optimized the gear contact parameters. In order to save calculationcosts, surrogate model of contact stress and root bending stress were established based on simulations of gears parameter-ized finite element model. The result shows that the genetic algorithm can search pareto solution sets fast and effectivelyin many dimensions regional,and realizes the multi-objective optimization. Using the optimized parameters, the von mi-ses stress by finite element software were simulated, and the stress of optimized gear can be effectively decreased.
- multi-objective genetic algorithm /
- gear optimization /
- surrogate model

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参考文献(18)

[1]	Johnson K L. Contact Mechanics[M]. London: CambridgeUniversity Press,1985
[2]	濮良贵,纪名刚. 机械设计(第八版)[M]. 北京:高等教育出版社,2006
[3]	Bhushan B. Introduction to Tribology[M]. New York JohnWiley & sons,2002
[4]	邓效忠,方宗德,杨宏斌. 准双曲面齿轮齿面接触应力过程计算[J]. 中国机械工程,2001,12(12):43～45,46
[5]	刘晖,万朝燕,谢素明等. 基于 I-DEAS 的齿轮接触强度分析[J].现代制造工程,2005,(1):102～103
[6]	武丽. 有限元分析法及其软件在齿轮接触强度分析中的应用 [J].机械管理开发,2007,12(2):74～75
[7]	李凤吉. 双渐开线齿轮接触强度分析及试验研究[D]. 合肥:合肥工业大学,2008
[8]	张卧波. 有限元法计算齿轮接触强度的理论研究[J]. 农业机械学报,1999,30(3):90～93
[9]	杨生华. 齿轮接触有限元分析[J]. 计算力学学报 2003,20(2):138～142
[10]	Kousaku OHNO,Naoyuki TANAK. A contact stress analysis forhelical gear with 3-dimensional finite element method: the profilecorrection amount to reduce the PV factor of helical gear teeth[J]. Transactions of the Japan Society of MechanicalEnineers C,1998,C64(628):4821～4826
[11]	Chen Y C,Chung Biau Tsay. Stress analysis of a helical gear setwith localized bearing contact[J]. Finite Elements in Analysisand Design,2002,(38):707～723
[12]	Wang J,Howard I. The torsional stifness of involute spur gears[J].Proceedings of the Institution of Mechanical Engneers,Part CJournal of Mechanical Engineering Science,2004,(218):1～12
[13]	王勋成,邵敏. 有限单元法基本原理与数值方法[M]. 北京:清华大学出版社,1988
[14]	Riche R L,Picheny V,Sbourger D G. Gears Design with ShapeUncertainties Using Monte Carlo Simulations and Kriging[D]. American Institute of Aeronautics and Astrona Utics,205
[15]	Wu Y Q,Frank E Talke. Finite element based head tap interfacesimulation including head tape surface asperity contacts[J].IEEE Transaction on Magnetics,1998,34(4)
[16]	Choy F K,et al. Analysis of the effects of surface pitting andwear on the vibration of a gear transmission system[J]. Tribolo-gy International,1996,29(1):77～83
[17]	王玉新,柳杨. 渐开线直齿圆柱齿轮齿根应力的有限元分析[J].机械设计,2004,(8):21～24[18] 孙桓,陈作模. 机械原理[M]. 北京:高等教育出版社,2000
[18]	张勇. 基于近似模型的汽车轻量化优化设计方法[D]. 长沙:湖南大学,2008