华南理工大学学报(自然科学版) ›› 2015, Vol. 43 ›› Issue (9): 128-134,148.doi: 10.3969/j.issn.1000-565X.2015.09.020

• 机械工程 • 上一篇    下一篇

耦合箱体振动的行星齿轮传动系统动态响应分析

贺朝霞1,常乐浩1,刘岚2   

  1. 1. 长安大学 道路施工技术与装备教育部重点实验室,陕西 西安 710064;2. 西北工业大学 陕西省机电传动与控制工程实验室,陕西 西安 710072

  • 收稿日期:2015-03-04 修回日期:2015-05-21 出版日期:2015-09-25 发布日期:2015-09-07
  • 通信作者: 贺朝霞(1978-),女,博士,副教授,主要从事齿轮系统动力学、虚拟样机技术研究. E-mail: hezhaoxia@chd.edu.cn
  • 作者简介:贺朝霞(1978-),女,博士,副教授,主要从事齿轮系统动力学、虚拟样机技术研究.
  • 基金资助:
    国家自然科学基金资助项目(51205029);长安大学中央高校基本科研业务费专项资金资助项目(2013G3252005,
    2013G1502057)

Dynamic Response Analysis of Planetary Gear Transmission System Coupled with Gearbox Vibrations

He Zhao-xia Chang Le-hao Liu Lan2   

  1. 1. Key Laboratory of Road Construction Technology and Equipment of the Ministry of Education,Chang'an University,Xi'an 710064,Shaanxi,China; 2. Shaanxi Mechanical and Electrical Transmission and Control Engineering Laboratory,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China
  • Received:2015-03-04 Revised:2015-05-21 Online:2015-09-25 Published:2015-09-07
  • Contact: 贺朝霞(1978-),女,博士,副教授,主要从事齿轮系统动力学、虚拟样机技术研究. E-mail: hezhaoxia@chd.edu.cn
  • About author:贺朝霞(1978-),女,博士,副教授,主要从事齿轮系统动力学、虚拟样机技术研究.
  • Supported by:
    Supported by the National Natural Science Foundation of China(51205029)

摘要: 为获得准确的行星齿轮传动系统动态响应进行精确产品设计,文中建立了耦合箱体振动的 2K-H 行星传动系统动力学模型. 将整个行星传动系统分为传动部分与箱体结构两部分,对传动部分采用集中质量模型而对箱体结构采用有限元法建模,然后根据子结构方法将箱体模型转换到轴承支撑的连接节点,并与传动部分通过界面协调条件进行耦合. 文中还引入了时变的啮合刚度、综合啮合误差激励,从而获得了一个时变的、多自由度耦合行星齿轮传动系统动力学模型. 耦合箱体前、后的系统动力学分析结果表明: 箱体结构的耦合作用使行星传动系统的啮合力与支承力均有较大程度的降低; 在系统参数不变的情况下,输入转速变化使啮合力和支承力呈不同趋势变化; 有必要进行精确的动力学建模与分析,以实现优化的传动系统轻量化和可靠性设计.

关键词: 耦合振动, 行星齿轮, 子结构方法, 动态响应

Abstract: In order to obtain accurate dynamic response analysis of planetary gear transmission systems,an accurate
product design should be performed. In this paper,a dynamic model of 2K-H planetary gear transmission (PGT) system coupled with gearbox vibrations is constructed,in which the whole system is divided into the transmission part and the gearbox structure,and the modeling of the transmission part and the gearbox structure are conducted respectively by means of the lumped mass method and the finite element method. Then,the gearbox model is transformed into the joint nodes of bearing supports through the substructure method and is coupled with the transmission system under the interface coordination condition. Moreover,the time-varying mesh stiffness and the mesh error are also taken into account,and thus a time-varying multi-degree-of-freedom-coupled dynamic model of planetary gear transmission system is constructed. The system dynamics analysis results before and after coupling gearbox show that (1) the coupling of gearbox reduces the meshing forces and supporting forces of planetary gear transmission system markedly; (2) the change of rotor speeds causes the meshing forces and the supporting forces to change in
different directions when other system parameters are invariant; and (3) in order to achieve the light weight design and reliability design of the optimized transmission system,it is necessary to finish accurate dynamic modeling and analysis.

Key words: coupled vibration, planetary gear, substructure method, dynamic response

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