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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

机械科学与技术2017,Vol.36Issue(7):1016-1021,6.
机械科学与技术2017,Vol.36Issue(7):1016-1021,6.DOI:10.13433/j.cnki.1003-8728.2017.0706

两级定轴齿轮分岔与混沌特性研究

Bifurcation and Chaos Characteristics of Two-stage Gear Train Sets

王鑫 1徐玉秀 2武宝林 1张仁峰2

作者信息

  • 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
  • 折叠

摘要

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.

关键词

齿轮传动/非线性动力学/混沌/分岔

Key words

gear transmission/nonlinear dynamics/chaos/bifurcation

分类

机械制造

引用本文复制引用

王鑫,徐玉秀,武宝林,张仁峰..两级定轴齿轮分岔与混沌特性研究[J].机械科学与技术,2017,36(7):1016-1021,6.

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 (2060403)

机械科学与技术

OA北大核心CSCDCSTPCD

1003-8728

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