两级定轴齿轮分岔与混沌特性研究

王鑫; 徐玉秀; 武宝林; 张仁峰

doi:10.13433/j.cnki.1003-8728.2017.0706

两级定轴齿轮分岔与混沌特性研究

doi: 10.13433/j.cnki.1003-8728.2017.0706

王鑫^1,2,
徐玉秀^1,2, ,,
武宝林¹,
张仁峰³

1.
天津工业大学机械工程学院, 天津 300387;
2.
现代机电装备技术重点实验室, 天津 300387;
3.
天津渤海职业技术学院机械工程系, 天津 300402

基金项目:

国家重大科技成果转化项目（2060403）与天津市自然科学基金项目（10JCZDJC23400，13JCQNJC07000）资助

详细信息

作者简介:
王鑫(1985-),博士研究生,研究方向为非线性振动与故障诊断,46607190@qq.com

通讯作者:
徐玉秀(联系人),教授,博士,xuyu@tjpu.edu.cn

计量
- 文章访问数: 271
- HTML全文浏览量: 32
- PDF下载量: 6
- 被引次数: 0
出版历程
- 收稿日期: 2016-12-11
- 刊出日期: 2017-07-05

Bifurcation and Chaos Characteristics of Two-stage Gear Train Sets

Wang Xin^1,2,
Xu Yuxiu^{1,2
, ,},
Wu Baolin¹,
Zhang Renfeng³

1.
School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300387, China;
2.
Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin 300387, China;
3.
Mechanical Engineering Department, Tianjin Bohai Vocational Technology College, Tianjin 300402, China

摘要

摘要: 为研究两级定轴齿轮传动系统的混沌振动控制，建立了包含时变啮合刚度、齿侧间隙和综合啮合误差等非线性因素的两级齿轮无量纲动力学方程，利用数值方法进行求解，获得系统的分岔图及Poincáre截面，研究系统随激励频率变化的过渡过程，并分析啮合阻尼比对系统分岔与混沌特性的影响。结果表明：两级齿轮系统的过渡过程表现为激变过渡及阵发周期过渡，阻尼的大小会改变混沌区域的大小，两级齿轮在运动过程中同时发生激变，二级齿轮在分岔点的激变相对平稳。
- 齿轮传动 /
- 非线性动力学 /
- 混沌 /
- 分岔
Abstract: In order to investigate the chaos vibration control of a two-stage gear train, a nonlinear dynamics dimensionless equation of a two-stage gear train with time varying meshing stiffness, errors of transmission and backlashes was established and solved with the numerical method. The influences of excitation frequency and damping coefficient on the bifurcation and chaos properties of the system were analyzed with bifurcation diagram and Poincáre section. The study result shows that the system's motion state would change into chaos in the way of crisis or intermittency, the damping coefficient would influence the region of bifurcation; the two-stage gears would germinate crisis in the process of movement at the same time, while the second gear remained relatively stable at the bifurcation point.
- gear transmission /
- nonlinear dynamics /
- chaos /
- bifurcation

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参考文献(15)

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