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多间隙二级齿轮非线性振动分岔特性研究

王树国 张艳波 刘文亮 郭丽峰 廖鹏泰 齐立美

王树国, 张艳波, 刘文亮, 郭丽峰, 廖鹏泰, 齐立美. 多间隙二级齿轮非线性振动分岔特性研究[J]. 应用数学和力学, 2016, 37(2): 173-183. doi: 10.3879/j.issn.1000-0887.2016.02.006
引用本文: 王树国, 张艳波, 刘文亮, 郭丽峰, 廖鹏泰, 齐立美. 多间隙二级齿轮非线性振动分岔特性研究[J]. 应用数学和力学, 2016, 37(2): 173-183. doi: 10.3879/j.issn.1000-0887.2016.02.006
WANG Shu-guo, ZHANG Yan-bo, LIU Wen-liang, GUO Li-feng, LIAO Peng-tai, QI Li-mei. Nonlinear Vibration Bifurcation Characteristics of Multi-Clearance 2-Stage Gear Systems[J]. Applied Mathematics and Mechanics, 2016, 37(2): 173-183. doi: 10.3879/j.issn.1000-0887.2016.02.006
Citation: WANG Shu-guo, ZHANG Yan-bo, LIU Wen-liang, GUO Li-feng, LIAO Peng-tai, QI Li-mei. Nonlinear Vibration Bifurcation Characteristics of Multi-Clearance 2-Stage Gear Systems[J]. Applied Mathematics and Mechanics, 2016, 37(2): 173-183. doi: 10.3879/j.issn.1000-0887.2016.02.006

多间隙二级齿轮非线性振动分岔特性研究

doi: 10.3879/j.issn.1000-0887.2016.02.006
详细信息
    作者简介:

    王树国(1986—),男,讲师,硕士(E-mail: wsgjtdx@163.com);张艳波(1985—),男,讲师,硕士(通讯作者. E-mail: zhangyanbo219@163.com).

  • 中图分类号: TH113

Nonlinear Vibration Bifurcation Characteristics of Multi-Clearance 2-Stage Gear Systems

  • 摘要: 采用集中质量法,建立了多间隙二级齿轮系统的五自由度非线性振动模型.模型考虑了各齿轮副间变刚度、齿侧间隙、支承间隙以及传动误差等非线性因素,推导出系统量纲振动微分方程,并利用分岔图、Poincaré截面图,全面地分析了系统转速、阻尼比对系统分岔特性的影响.结果发现系统在各种非线性因素的综合影响下,表现出丰富复杂的分岔特性.系统随着参数的变化先后出现短周期运动、长周期运动、拟周期运动及混沌运动.在不同阻尼比下,系统随着转速的逐渐减小,由稳定的周期1运动,倍化分岔变为稳定的周期2运动,再经过Hopf分岔变为拟周期运动,通过激变又变为稳定的周期1运动,最终通过Hopf分岔锁相进入混沌.随着转速的逐渐增大,系统随阻尼比变化的混沌运动范围减小,出现稳定的周期1运动、长周期和拟周期运动,并且长周期和拟周期运动范围逐渐变小而稳定的周期1运动的范围逐渐变大.
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出版历程
  • 收稿日期:  2015-09-16
  • 修回日期:  2015-11-02
  • 刊出日期:  2016-02-15

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