• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (23): 162-172.doi: 10.3901/JME.2019.23.162

• 机械动力学 • 上一篇    下一篇

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飞行环境非惯性系下行星齿轮传动系统耦合动力学建模及其动态特性

魏静, 史磊, 张爱强, 秦大同   

  1. 重庆大学机械传动国家重点实验室 重庆 400044
  • 收稿日期:2019-01-01 修回日期:2019-04-17 出版日期:2019-12-05 发布日期:2020-02-18
  • 通讯作者: 魏静(通信作者),男,1978年出生,博士,教授。主要研究方向为机械传动、齿轮系统动力学。E-mail:weijing_slmt@163.com
  • 作者简介:史磊,男,1994年出生,硕士研究生。主要研究方向为机械传动、齿轮系统动力学。E-mail:shilei_sklmt@163.com;张爱强,男,1990年出生,博士研究生。主要研究方向为机械传动、齿轮系统动力学。E-mail:zaq_sklmt@163.com;秦大同,男,1956年出生,博士,教授。主要研究方向为机械传动系统、车辆动力传动及其综合控制。E-mail:dtqin@cqu.edu.cn
  • 基金资助:
    国家自然科学基金(51775058)、陆航装备预先研究项目(30103050301)和中央高校基本科研业务费(2018CDXYJX0019)资助项目。

Modeling and Dynamic Characteristics of Planetary Gear Transmission in Non-inertial System of Aerospace Environment

WEI Jing, SHI Lei, ZHANG Aiqiang, QIN Datong   

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044
  • Received:2019-01-01 Revised:2019-04-17 Online:2019-12-05 Published:2020-02-18

摘要: 传统针对行星齿轮传动系统动力学的研究,均是假设其支撑在静止基础上,但置于飞行器内部的行星齿轮传动系统是随机体一起做空间运动,除了受到重力作用外还受到牵连惯性力和科氏惯性力,以及陀螺力矩的作用,这些附加载荷均影响系统的动态特性。为研究空天环境非惯性系下行星齿轮传动系统动力学行为,考虑内部非惯性系与外部非惯性系的综合影响,推导了机体任意空间运动状态下中心构件和行星轮运动方程,建立空天环境非惯性系下行星齿轮传动系统耦合动力学模型,并基于机体盘旋运动状态,研究空天环境非惯性系下行星齿轮传动系统的运动变化规律及不同非惯性条件下各构件的动力学行为。研究结果表明:机体无空间运动时,行星轮受到行星轮系内部非惯性系的影响,其径向平衡位置发生较大偏移;机体处于空间运动状态时,各构件重力将在径向产生分力,重力径向分力和附加惯性力随外部非惯性条件变化而变化;不同非惯性条件对各构件运动轨迹、轴承力、加速度有显著影响,且对中心构件与行星轮表现出不同的影响规律。

关键词: 行星齿轮传动, 空间运动, 非惯性系, 齿轮动力学, 动力学行为

Abstract: The traditional research on the dynamics of planetary gear transmission system is based on the assumption that the support is on the ground. However, the planetary gear transmission system inside the aircraft is spatially moved along with the airframe, which is subjected not only to gravity, but also to convected inertia force and Coriolis inertia force, as well as gyroscopic moment. These force affects the dynamic characteristics of the planetary gear transmission system. In order to investigate the dynamic behavior of planetary gear transmission system in non-inertial system of aerospace environment, the equations of motion of the central component and planetary gear in arbitrary spatial motion state of the airframe are deduced considering the influence of internal non-inertial system and external non-inertial system comprehensively. Subsequently, the coupling dynamic model of planetary gear transmission system in non-inertial system of aerospace environment is established. The motion variation law of planetary gear transmission system in the non-inertial system and the dynamic behavior of each components in different non-inertial conditions are researched based on the hovering motion of the airframe. The results indicate that the equilibrium position of the planetary gear is greatly offset due to the influence of non-inertial system inside the planetary gear train when the airframe has no spatial motion. Moreover, the gravity on each component will generate radial force, which and additional inertial force will change with the external non-inertia conditions when the airframe is in the state of spatial motion. In addition, different non-inertial conditions have significant influence on the motion trajectory, bearing force and acceleration of each component, and have different influence rules on the central component and planetary gear.

Key words: planetary gear transmission system, spatial motion, non-inertial system, gear dynamics, dynamics behavior

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