东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2014, Vol. 35 ›› Issue (3): 397-401.DOI: 10.12068/j.issn.1005-3026.2014.03.021

• 机械工程 • 上一篇    下一篇

转速及扭矩对啮合齿轮副非线性特性影响分析

张义民，路金昌，胡鹏   

  1. (东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2013-05-07 修回日期:2013-05-07 出版日期:2014-03-15 发布日期:2013-11-22
  • 通讯作者: 张义民
  • 作者简介:张义民(1958-)，男，吉林长春人，东北大学教授，博士生导师，教育部“长江学者奖励计划”特聘教授.
  • 基金资助:
    国家自然科学基金资助项目(51135003，U1234208)；长江学者和创新团队发展计划项目(IRT0816)；“高档数控机床与基础制造装备”科技重大专项(2013ZX04011011).

Nonlinear Characteristics Analysis of Gear Pairs with the Impact of Rotational Speed and Torque

ZHANG Yimin， LU Jinchang， HU Peng   

  1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Received:2013-05-07 Revised:2013-05-07 Online:2014-03-15 Published:2013-11-22
  • Contact: LU Jinchang
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摘要： 综合考虑时变啮合刚度、啮合阻尼、齿侧间隙、啮合误差等因素，建立了两自由度直齿轮副非线性动力学模型.用4阶变步长Runge-Kutta算法对微分方程进行了数值求解，统计了迭代过程中轮齿啮合状态比例，研究了转速和扭矩对动态传递误差的影响.研究表明:随着转速增加，轮齿啮合状态发生变化，解释了动态传递误差的周期、混沌响应和误差幅值跳跃现象；随着扭矩的增大，出现跳跃现象的转速增加，幅值变化也增大，但轮齿冲击减少.

关键词: 齿轮动力学, 轮齿啮合状态, 动态传递误差, 转速, 扭矩

Abstract: A nonlinear twodegreeoffreedom dynamics model for a spur gear pair system is developed by considering the timevarying stiffness，mesh damping，backlash and transmission error. The differential equations were solved by the fourthorder variable step size RungeKutta algorithm. The statistics of the proportion of tooth contact states in the iterative process were acquired，and the impact of the rotational speed and torque on dynamic transmission error was studied. It shown that the tooth mesh condition changes with the increase of rotational speed，which explains the cycle and chaos response of the dynamic transmission error and the error amplitude jump phenomena. With the increase of torque，jumping phenomenon of the rotational speed increased，the changes of amplitude also increased，but the tooth impact reduced.

Key words: gear dynamics, tooth contact state, dynamic transmission error, rotational speed, torque

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