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
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)