NN型少齿差传动的多目标优化

郑建瑞; 邓兴; 李哲; 杨再明; 吴腾; 杜金泽; 卓佳鑫

doi:10.16578/j.issn.1004.2539.2023.06.008

您当前的位置：

首页 >

文章列表页 >

NN型少齿差传动的多目标优化

设计计算 | 更新时间：2023-08-14

- NN型少齿差传动的多目标优化
- Multi-objective Optimization of the NN Type Transmission with Small Tooth Difference
- 机械传动 2023年47卷第6期页码：49-56
- 作者机构：
  
  中国核动力研究设计院，四川成都 610213
- 作者简介：
  
  郑建瑞（1996— ），男，四川乐山人，硕士，助理工程师；研究方向为行星传动优化设计；1397436692@qq.com。
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.06.008
  中图分类号：
- 纸质出版日期：2023-06-15，
  
  收稿日期：2022-04-06，
  
  修回日期：2022-04-22，
扫描看全文
郑建瑞,邓兴,李哲等.NN型少齿差传动的多目标优化[J].机械传动,2023,47(06):49-56.

Zheng Jianrui,Deng Xing,Li Zhe,et al.Multi-objective Optimization of the NN Type Transmission with Small Tooth Difference[J].Journal of Mechanical Transmission,2023,47(06):49-56.
郑建瑞,邓兴,李哲等.NN型少齿差传动的多目标优化[J].机械传动,2023,47(06):49-56. DOI： 10.16578/j.issn.1004.2539.2023.06.008.

Zheng Jianrui,Deng Xing,Li Zhe,et al.Multi-objective Optimization of the NN Type Transmission with Small Tooth Difference[J].Journal of Mechanical Transmission,2023,47(06):49-56. DOI： 10.16578/j.issn.1004.2539.2023.06.008.

摘要

围绕能源与重型机械对传动装置高效率与高输出力矩的需求，对NN型少齿差传动以最高效率与最大输出力矩进行了多目标优化研究。首先，对一定齿数范围内不同齿数差、不同错齿数下所有齿数组合进行遍历，得出配齿表；随后，建立NN型少齿差传动的多目标优化模型，以齿数组合、标准压力角、啮合角、齿顶高系数以及变位系数为优化设计变量，考虑重合度、齿廓重叠干涉、齿顶厚度等约束条件，使用基于Pareto的多目标差分进化算法对优化模型进行求解，得出Pareto最优解集的分布。将本文得出的结果与机械设计手册中的结果进行对比，结果显示，本文结果优于机械设计手册中的结果，可为NN型少齿差传动的设计提供参考。

Abstract

Focusing on the demand of energy and heavy machinery for high efficiency and high output capacity of transmission equipment

this research studies the multi-objective optimization of the NN type small tooth difference transmission with the highest efficiency and maximum output capacity. Firstly

traverse all tooth number combinations in the optimization space under different tooth number difference

different staggered tooth difference in a certain range of teeth

and get the tooth combinations table. Then

the multi-objective optimization model of the NN type small tooth difference transmission is established

taking the number of teeth combination

standard pressure angle

meshing angle

addendum height coefficient and displacement coefficient as the optimization design variables and considering the overlap ratio

tooth profile overlap interference and addendum thickness constraints. The multi-objective differential evolution algorithm based on Pareto is used to solve the optimization model

and the distribution of Pareto optimal solution set is obtained. The results obtained in this study are compared with those in the standard design manual. The comparison results show that the results in this study are better than those in the standard design manual

which can provide reference for the design of NN type small tooth difference transmission.

关键词

少齿差效率多目标优化进化算法

Keywords

Small tooth difference transmissionEfficiencyMulti-objective optimizationEvolutionary algorithms

references

王光建，蒋汉军，褚志刚.渐开线少齿差内啮合齿轮副几何设计研究［J］.农业机械学报，2011，42（4）：201-205.

WANG Guangjian，JIANG Hanjun，CHU Zhigang.Study on geometric design of involute internal meshing gear pair with small tooth difference［J］.Transactions of the Chinese Society for Agricultural Machinery，2011，42（4）：201-205.

冯定，杨行，冯一璟，等.基于Matlab的渐开线少齿差行星齿轮变位系数取值方法研究［J］.机械传动，2017，41（7）：18-21.

FENG Ding，YANG Hang，FENG Yijing，et al.Research of the method of selection of modification coefficient value of the planetary involute gear with small teeth difference based on Matlab［J］.Journal of Mechanical Transmission，2017，41（7）：18-21.

溥江，赵鑫，张秀华.基于动力学模型的少齿差行星轮减速器断齿点蚀故障分析［J］.组合机床与自动化加工技术，2020（11）：28-32.

FU Jiang，ZHAO Xin，ZHANG Xiuhua.Analysis of broken tooth pitting failure of planetary gear reducer with small tooth difference based on dynamic model［J］.Modular Machine Tool & Automatic Manufacturing Technique，2020（11）：28-32.

崔建昆，周希，李晓强，等.少齿差直线共轭齿廓设计与试验研究［J］.机械传动，2021，45（1）：85-89.

CUI Jiankun，ZHOU Xi，LI Xiaoqiang，et al.Design and experimental study of linear conjugate tooth profile with small tooth difference［J］.Journal of Mechanical Transmission，2021，45（1）：85-89.

朱超强，王家序，张林川，等.少齿差行星齿轮传动多齿弹性啮合效应的研究［J］.机械设计与制造，2013（9）：67-69.

ZHU Chaoqiang，WANG Jiaxu，ZHANG Linchuan，et al.Study on multi tooth Elastic Meshing Effect of planetary gear transmission with small tooth difference［J］.Machinery Design & Manufacture，2013（9）：67-69.

张俊，郭凡，谢胜龙.少齿差星轮型减速器的弹性动力学建模与模态分析［J］.振动与冲击，2015，34（12）：169-175.

ZHANG Jun，GUO Fan，XIE Shenglong.Elastodynamic modeling and modal analysis of star gear reducer with small tooth difference［J］.Journal of Vibration and Shock，2015，34（12）：169-175.

LI S X.Contact problem and numeric method of a planetary drive with small teeth number difference［J］.Mechanism and Machine Theory，2008，43（9）：1065-1086.

HUANG C，WANG J X，XIAO K，et al.Dynamic characteristics analysis and experimental research on a new type planetary gear apparatus with small tooth number difference［J］.Journal of Mechanical Science and Technology，2013，27（5）：1233-1244.

夏建芳，周帅华，陈思雨.少齿差星轮传动多目标优化及其强度仿真分析［J］.机械传动，2016，40（3）：66-70.

XIA Jianfang，ZHOU Shuaihua，CHEN Siyu.Multi-objective optimization and strength simulation analysis of star gear transmission with small tooth difference［J］.Journal of Mechanical Transmission，2016，40（3）：66-70.

李俊阳，王家序，周广武，等.渐开线少齿差行星传动的变形协调设计［J］.中国机械工程，2014，25（5）：576-580.

LI Junyang，WANG Jiaxu，ZHOU Guangwu，et al.Deformation coordination design of involute planetary transmission with small tooth difference［J］.China Mechanical Engineering，2014，25（5）：576-580.

郑红梅，付彬，史越.N型少齿差行星减速器动力学仿真研究［J］.机械传动，2013，37（11）：89-93.

ZHENG Hongmei，FU Bin，SHI Yue.Dynamic simulation of N type planetary reducer with small tooth difference［J］.Journal of Mechanical Transmission，2013，37（11）：89-93.

陶桂宝，李泽群.NN型渐开线少齿差行星传动齿轮副的设计［J］.现代制造工程，2007（8）：116-118.

TAO Guibao，LI Zequn.Design of NN type involute planetary transmission gear pair with small tooth difference［J］.Modern Manufacturing Engineering，2007（8）：116-118.

刘文吉，宋朝省，洪英.NN型少齿差行星齿轮传动啮合冲击分析及修形设计［J］.中国机械工程，2012，23（4）：425-429.

LIU Wenji，SONG Chaosheng，HONG Ying.Meshing impact analysis and modification design of NN type planetary gear transmission with small tooth difference［J］.China Mechanical Engineering，2012，23（4）：425-429.

成大先.机械设计手册（第3卷，第14篇）［M］.北京：化学工业出版社，2008：504-509，525.

CHENG Daxian.Handbook of mechanical design （volume 3，title 14）［M］.Beijing：Chemical Industry Press，2008：504-509，525.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于人工免疫-改进粒子群优化算法的机械臂轨迹规划研究

基于原子轨道搜索算法的6自由度装配机器人轨迹规划

一种多抓取模式夹持器的设计与实验

一种3K-H行星轮系自锁与效率最大化设计

基于参数敏感性的柔轮响应面优化