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

作　　者：王鑫[1,2] 徐玉秀[1,2] 武宝林[1] 张仁峰[3] 

机构地区：[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

出　　处：《机械科学与技术》2017年第7期1016-1021,共6页Mechanical Science and Technology for Aerospace Engineering

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

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。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 Poincare 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 

分 类 号：TH132.41[机械工程—机械制造及自动化]