共轴对转封闭差动轮系固有特性及灵敏度分析

张栋林; 朱如鹏; 李苗苗; 扶碧波; 谭武中

doi:10.13224/j.cnki.jasp.2021.04.009

共轴对转封闭差动轮系固有特性及灵敏度分析

doi: 10.13224/j.cnki.jasp.2021.04.009

1.
南京航空航天大学直升机传动技术重点实验室,南京 210016
2.
中国航空发动机集团有限公司湖南动力机械研究所,湖南株洲 412002

基金项目: 国家自然科学基金(51775265); 南京航空航天大学“直升机传动技术重点实验室”开放课题(HTL-A-19G08)

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出版历程
- 收稿日期: 2020-08-15
- 刊出日期: 2021-04-28

Natural characteristics and sensitivity analysis of a coaxial contra-rotating encased differential gear train

1.
National Key Laboratory of Science and Technology on Helicopter Transmission,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
2.
Hunan Aviation Powerplant Research Institute,Aero Engine Corporation of China,Zhuzhou Hunan 412002,China

摘要

摘要: 基于共轴对转封闭差动轮系的扭转动力学集中参数模型,求解了系统的固有频率和振型。理论分析了频率对刚度和质量的参数灵敏度,及频率变化轨迹中的模态跃迁现象。分析结果表明:根据振动特征可将系统振型分为扭转振动模式、行星轮振动模式和星轮振动模式,分别对应于系统的单根、L(行星轮数)-1和N(星轮数)-1重根频率;行星轮的个数对重根频率数值无影响;刚度变化率为正时,固有频率变化率为正,转动惯量变化率为正时,固有频率变化率为负;同种振动模式下的两条频率轨迹在接近时会发生模态跃迁。通过实例计算验证了理论分析的正确性,为共轴对转封闭差动轮系的固有特性分析与优化设计提供了依据。
- 共轴对转 /
- 封闭差动轮系 /
- 固有特性 /
- 灵敏度 /
- 模态跃迁
Abstract: Based on the torsional vibration lumped-parameter model of the coaxial contra-rotating encased differential gear train, the natural frequencies and vibration modes of the system were solved. The results showed that all vibration modes of the planetary gear train can be categorized into three classes: rotational mode, stepped planet mode and planet mode, corresponding to the distinct frequency, L (Number of planet gear)-1 and N (Number of star gear)-1 multiple frequency respectively. The number of planets had no effect on the magnitude of the multiple frequency. When the change rate of stiffness was positive, the change rate of natural frequency was positive, and the change rate of natural frequency was negative when the change rate of moment of inertia was positive. Frequency loci veering occurred when two frequencies in the same vibration mode were approaching. The correctness of the theoretical analysis was verified by an example, providing a basis for the analysis and optimization of the natural characteristics design of the coaxial contra-rotating encased differential gear train.
- coaxial contra-rotating /
- encased differential gear train /
- natural characteristic /
- sensitivity /
- loci veering

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参考文献(20)

[1]	陈铭.共轴双旋翼直升机的技术特点及发展［J］.航空制造技术,2009(17):26-31. CHEN Ming.Technology characteristic and development of coaxial rotor helicopter［J］.Aeronautical Manufacturing Technology,2009(17):26-31.(in Chinese)
[2]	饶振刚.行星齿轮传动设计［M］.北京:化学工业出版社,2003.
[3]	HOWE D C,SUNDT C V,MCKIBBON A H.Advanced counter-rotating gearbox detailed design report［R］.NASA CR-180883,1988.
[4]	HOWE D C,MCKIBBIN A H.Design of a gear drive system for counter-rotating fan rotors［R］.AIAA 89-2820,1989.
[5]	KAHRAMAN A.Natural modes of planetary gear trains［J］.Journal of Sound and Vibration,1994,173(1):125-130.
[6]	KAHRAMAN A.Free torsional vibration characteristics of compound planetary gear trains［J］.Mechanism and Machine Theory,2001,36(8):953-971.
[7]	LIN J,PARKER R G.Analytical characterization of the unique properties of planetary gear free vibration［J］.Journal of Vibration and Acoustics,1999,121:316-321.
[8]	LIN J,PARKER R G.Natural frequency veering in planetary gears［J］.Mechanics of Structures and Machines,2001,29(4):411-429.
[9]	王世宇.基于相位调谐的直齿行星齿轮传动动力学理论与实验研究［D］.天津:天津大学,2005. WANG Shiyu.Theoretical and experimental investigation on dynamics of spur planetary gear transmissions based on planet phasing theory［D］.Tianjin:Tianjin University,2005.(in Chinese)
[10]	罗玉涛,陈营生.混合动力两级行星机构动力耦合系统动力学建模及分析［J］.机械工程学报,2012,48(5):70-75. LUO Yutao,CHEN Yingsheng.Dynamic modeling and analysis of power coupling system with two-stage planetary gear trains for hybrid system［J］.Journal of Mechanical Engineering,2012,48(5):70-75.(in Chinese)
[11]	鲍和云,姜慧卉,朱如鹏,等.行星轮系固有频率的灵敏度分析［J］.机械科学与技术,2016,35(9):1323-1329. BAO Heyun,JIANG Huihui,ZHU Rupeng,et al.Natural frequencies sensitivity analysis of planetary gear train［J］.Mechanical Science and Technology,2016,35(9):1323-1329.(in Chinese)
[12]	林何,王三民,董金城.斜齿行星齿轮传动系统振动模式与动载特性［J］.航空动力学报,2015,30(9):2298-2304. LIN He,WANG Sanmin,DONG Jincheng.Vibration mode and dynamical characteristics of helical planetary gear train［J］.Journal of Aerospace Power,2015,30(9):2298-2304.(in Chinese)
[13]	夏炀志强,秦大同.基于低耗齿轮的大速比行星齿轮传动固有特性及振动分析［J］.振动与冲击,2018,37(2):242-260. XIA Yangzhiqiang,QIN Datong.Natural characteristics and vibration of a high-speed-ratio planetary gear transmission with low-loss gears［J］.Journal of Vibration and Shock,2018,37(2):242-260.(in Chinese)
[14]	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.
[15]	LIN J,PARKER R G.Sensitivity of planetary gear natural frequencies and vibration modes to model parameters［J］.Journal of Sound and Vibration,1999,228(1):109-128.
[16]	ZHANG L,WANG Y,WU K,et al.Dynamic modeling and vibration characteristics of a two-stage closed-form planetary gear train［J］.Mechanism and Machine Theory,2016,97:12-28.
[17]	刘习军,贾启芬.工程振动理论与测试技术［M］.北京:高等教育出版社,2004.
[18]	方治华.振动系统特征值灵敏度分析的研究及应用［J］.包头钢铁学院学报,1997,16(1):70-74. FANG Zhihua.Research and application of sensitivity analysis for eigenvalues of vibration system［J］.Journal of Baotou University of Iron and Steel Technology,1997,16(1):70-74.(in Chinese)
[19]	王世宇,宋轶民,沈兆光,等.行星传动系统的固有特性及模态跃迁研究［J］.振动工程学报,2005,18(4):412-417. WANG Shiyu,SONG Yimin,SHEN Zhaoguang,et al.Research on natural characteristics and loci veering of planetary gear transmissions［J］.Journal of Vibration Engineering,2005,18(4):412-417.(in Chinese)
[20]	赵永强,李瑰贤,常山,等.两级人字齿行星传动系统的模态跃迁现象［J］.吉林大学学报(工学版),2011,41(1):133-138.