含时变啮合刚度的间隙非线性齿轮系统的混沌控制  

Chaos Control of a Nonliner Gear System with Clearance and Time-varying Stiffness

作　　者：陈学森[1] 董海军[1] 刘晓宁[1] 

机构地区：[1]西北工业大学机电工程学院,西安710072

出　　处：《机械科学与技术》2006年第9期1035-1037,共3页Mechanical Science and Technology for Aerospace Engineering

摘　　要：基于含时变啮合刚度和间隙非线性单级齿轮系统的动力学模型,分析了系统响应的动态特性。针对系统在部分参数区域发生的混沌运动,运用OGY控制原理,以混沌吸引子内部不稳定周期轨道为目标,通过对系统的外激励参数实施连续的小扰动,使系统的轨道始终落在未加扰动的鞍点轨道的稳定流形上,从而实现了系统运动的稳定化。Based on the nonlinear dynamic model of a single freedom gear system with clearance and timevarying mesh stiffness, the influence of the stiffness on the dynamics response of the gear system was analyzed. In view of the fact that chaotic motions happen in some parametric regions of the system, the OGY （Ott, Grebogi and Yorke ） chaos control principle was used to stabilize the unstable periodic orbits embedded in a chaotic attractor by making continuous perturbation of the external excitation parameters of the system. In this way the orbit of the system is always along the stable stream shape of an unperturbed orbit.

关 键 词：齿轮系统 时变刚度 混沌控制 周期轨道 OGY方法 

分 类 号：TH132.41[机械工程—机械制造及自动化]