齿轮时变啮合刚度引起的分岔与动载荷  

Bifurcation and Dynamic Loads due to Time-Varying Meshing Stiffness of a Gear Pair

作　　者：石守红[1] 贾振波[1] 韩玉强[2] 张锁怀[3] 文航星 

机构地区：[1]西北大学化工系,西安710069 [2]宝鸡文理学院机械工程系 [3]西北轻工业学院,咸阳712081 [4]西电公司培训中心,西安710077

出　　处：《机械科学与技术》2001年第5期721-722,742,共3页Mechanical Science and Technology for Aerospace Engineering

摘　　要：在考虑齿轮时变啮合刚度的情况下 ,建立了齿轮耦合的转子 -轴承系统的非线性动力学模型。用 Floquet理论分析了该系统的稳定性 ,结果发现 ,当转速超过某一临界值时 ,系统将产生 Hopf分岔 ;分岔将导致系统产生新的周期解 ;时变啮合刚度还将引起较大的动载荷 。Considering the time-varying meshing stiffnes s of a gear pair, the nonlinear dynamic model of a geared rotor-bearing system is established. The stability of the system is analyzed by applying Floquet theo ry. It is found that Hopf bifurcation will occur in the system when speed of the system exceeds some value. Bifurcation will cause new period solution in the re sponse. Big dynamic loads and separation phenomenon are also caused by it..

关 键 词：齿轮耦合 转子-轴承系统 时变啮合刚度 稳定性 动载荷 齿轮传动 

分 类 号：TH113.1[机械工程—机械设计及理论] TH132.41