• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2018, Vol. 54 ›› Issue (9): 161-167.doi: 10.3901/JME.2018.09.161

• 机械动力学 • 上一篇    下一篇

内激励下弹性边界柔性直齿内齿圈振动响应研究

许华超, 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:2017-05-27 修回日期:2018-02-28 出版日期:2018-05-05 发布日期:2018-05-05
  • 通讯作者: 秦大同(通信作者),男,1956年出生,博士,教授,博士研究生导师。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
  • 作者简介:许华超,男,1990年出生,博士研究生。主要研究方向为行星齿轮传动系统振动噪声分析与控制。E-mail:xuhuachao@cqu.edu.cn
  • 基金资助:
    国家自然科学基金(U1764259)和国家重点基础研究发展计划(973计划,2014CB046304)资助项目。

Vibration Response of Flexible Spur Ring Gear with Elastic Foundation under Internal Excitation

XU Huachao, QIN Datong   

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044
  • Received:2017-05-27 Revised:2018-02-28 Online:2018-05-05 Published:2018-05-05

摘要: 以行星轮系柔性内齿圈为研究对象,为计入拉伸、剪切和弯曲变形等因素,使数学模型更好与工程实际相匹配,根据其结构及边界特点采用平面梁单元建立弹性边界柔性直齿内齿圈的振动分析模型,并对其固有特性进行了研究。基于叠加原理和力向一点平移定理,采用组合激振法等效模拟了沿啮合线作用的啮合激励,并从频域角度揭示了啮合激励对弹性边界柔性内齿圈振动响应的影响。研究结果表明,弹性边界柔性内齿圈振型可归结为三类:平移振动模式(内齿圈各点具有相同的运动),弯曲振动模式(内齿圈发生弯曲变形的振动)和扩展振动模式(内齿圈各点仅产生径向振动);啮合激励对扩展振动模式影响较小,而对弯曲振动模式影响显著;对直齿内齿圈而言,弯曲振动模式是引起振动与噪声的主要原因;当扩展振型(波数m=0)发生共振时,内齿圈呈等幅振动;当波数m不为零的振型共振时,内齿圈呈m个波形。

关键词: 弹性边界, 固有特性, 内齿圈, 行星轮系, 振动响应

Abstract: The flexible planetary ring gear is taken as the research object. In order to formulate a more accurate mathematical model in compliance with common engineering practices, the tension, transverse shear, and bending deformation, of the ring gear are considered. According to the structure and boundary, vibration analysis model for flexible spur ring gear with elastic foundation is established by using the plane beam element, and the inherent characteristics are investigated. Based on the superposition principle and force to a point translation theorem, the combined excitation apporach is appled to simulate the meshing excitation acting along the line of action. Effects of meshing excitation on the vibration response of flexible ring gear is revealed from the frequency domain. The results indicate that, the vibration type of flexible ring gear with elastic foundation can be divided into three categories:Translational vibration mode (each point of the ring gear has the same motion), flexural vibration mode (the ring gear occurs vibration of bending deformation), and extensible vibration mode (each point of the ring gear has only radial vibration). The meshing excitation has a slight impact on extensible vibration mode, while it influences the flexural vibration mode apparently. For the spur ring gear, flexural vibration mode is the main cause of vibration and noise. When extensible vibration mode (wave number m=0) occurs resonance, each point of the ring gear has equal vibration amplitude. When the ring gear occurs resonance and the wave number m is not zero, the ring gear has m waveform.

Key words: elastic boundary, inherent characteristic, planetary gears, ring gear, vibration response

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