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中南大学学报(自然科学版)

Journal of Central South University

第47卷    第9期    总第265期    2016年9月

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文章编号:1672-7207(2016)09-3005-06
考虑柔性齿圈的节点外啮合行星齿轮均载特性分析
鲍和云,周兴军,朱如鹏,陆凤霞

(南京航空航天大学 机电学院,江苏 南京,210016)

摘 要: 建立一种考虑摩擦力、时变啮合刚度及阻尼、综合啮合误差及内齿圈柔性的节点外啮合行星齿轮平移-扭转动力学模型。推导系统多自由度的动力学微分方程组并采用四阶-五阶Runge-Kutta法求解方程,得到系统的振动响应。分析柔性齿圈、摩擦力以及节点外系数对系统均载特性的影响。研究结果表明:表面摩擦力是系统内部激励源,会加剧系统振动,而对于节点外啮合行星齿轮,在啮合过程中摩擦力不换向,改善系统的振动。行星齿轮系统采用具有一定柔性的齿圈会提高系统内啮合载荷分配的均匀性,对于节点外啮合行星齿轮而言,均载系数随着节点外系数的变化呈现“U”型变化趋势。

 

关键词: 柔性齿圈;节点外啮合;行星齿轮;摩擦力;均载

Load sharing analysis of planetary gear train with meshing beyond pitch point considering flexible deformable ring
BAO Heyun, ZHOU Xingjun, ZHU Rupeng, LU Fengxia

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Abstract:A planetary gear translational-rotational dynamics model with meshing beyond pitch point in consideration of sliding friction, time-varying mesh stiffness and damp, integrated mesh errors and flexible ring was established. The motion differential equations with multiple degrees of freedom were derived and the equations were solved by using the ode45 Runge-Kutta method. The response of the system in time domain was obtained. The impacts of flexible ring gear, coefficients of friction and coefficients of beyond pitch point on dynamics load sharing characteristic were analyzed. The results show that friction is the internal excitation source and it will increase the vibration of the system. For planetary gear train with meshing beyond pitch point, friction will reduce the vibration because it will not change direction during meshing. The planetary gear system improves the load sharing by using flexible deformable ring with meshing beyond pitch point, and the trend of the coefficient of load sharing present “U” type.

 

Key words: flexible deformable ring; meshing beyond pitch point; planetary gear; friction; load sharing

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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