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  • ISSN：0577-6686
机械工程学报

机械工程学报 ›› 2016, Vol. 52 ›› Issue (13): 111-122.doi: 10.3901/JME.2016.13.111

• 机械动力学 • 上一篇    下一篇

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行星轮系动力学新模型及其故障响应特性研究*

雷亚国1，2, 罗希1，2, 刘宗尧1，2, 卢帆勃1，2, 林京1，2, 汤伟1，2   

  1. 1. 西安交通大学机械制造系统工程国家重点实验室 西安 710049,
    2. 陕西省机械产品质量保障与诊断重点实验室 西安 710049
  • 出版日期:2016-07-05 发布日期:2016-07-05
  • 作者简介:

    雷亚国(通信作者)，男，1979年出生，博士，教授，博士研究生导师。主要研究方向为混合智能故障诊断与寿命预测、机械系统建模与动态信号处理、机械设备健康监测与智能维护。

    E-mail：yaguolei@mail.xjtu.edu.cn

  • 基金资助:
    * 国家自然科学基金(51475355)、中组部“万人计划”青年拔尖人才支持计划和中央高校基本科研业务费专项资金(2012jdgz01)资助项目; 20151123收到初稿，20160411收到修改稿;

A New Dynamic Model of Planetary Gear Sets and Research on Fault Response Characteristics

LEI Yaguo1，2, LUO Xi1，2, LIU Zongyao1，2, LU Fanbo1，2, LIN Jing1，2, TANG Wei1，2   

  1. 1. State Key Laboratory for Manufacturing Systems Engineering， Xi’an Jiaotong University， Xi’an 710049,
    2. Shaanxi Key Laboratory of Mechanical Product Quality Assurance and Diagnostics， Xi’an 710049
  • Online:2016-07-05 Published:2016-07-05

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摘要：

行星轮系中零部件多、结构复杂，建模难度大。行星轮既自转又公转，导致啮合点到固定在箱体上的传感器之间的距离时刻变化，从而产生振动传递路径时变效应，增加了振动响应的复杂性。现有的动力学模型大多针对正常情况下的行星轮系进行建模，而且未考虑振动传递路径时变效应对振动响应的影响。针对以上不足，推导了行星轮系正常、裂纹及剥落三种情况下的时变啮合刚度算法，考虑振动传递路径时变效应的影响，建立了相应的动力学模型，求解得到行星轮系正常、裂纹及剥落时的动态响应，并分析了它们的频谱特性。搭建了行星齿轮箱试验台以获取振动响应信号，与模型响应信号进行了对比分析，结果验证了动力学模型的准确性，为行星轮系的健康监测提供了理论依据。

关键词: 动力学模型, 时变效应, 振动传递路径, 行星轮系, 二次电子发射 微陷阱结构 微放电 数值分析

Abstract:

Because planetary gear sets contain many components and have complex transmission structures, their dynamic models are difficult to be established. Besides, the planet gears rotate around not only their own centers, but also the center of the sun gear, and the time-varying distances from gear meshing points to the fixed transducers add the complexity of vibration response. Most of the dynamic models reported in current literature are under healthy conditions, and the time-varying effects of transmission paths are ignored in these models. Aiming at these shortcomings, a new dynamic model of planetary gear sets is established, in which the time-varying mesh stiffness under healthy, cracked and spalling conditions in planetary gear sets is calculated respectively, and the transmission paths are considered. Using this model, gear dynamic responses are obtained and compared with vibration signals captured from a planetary gearbox test rig. The comparison verifies the validity of the dynamic model, and provides a theory basis for health monitoring of planetary gear sets.

Key words: dynamic models, time-varying effect, transmission paths, planetary gear sets

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