内平动齿轮副多齿接触激励下的非线性振动周期解特性  

Inner Parallel Moving Gear System Vibration Period Characteristics Research Under Multi-Tooth Meshing Driving

作　　者：程爱明[1] 张春林[1] 赵自强[1] 

机构地区：[1]北京理工大学机械与车辆学院,北京100081

出　　处：《北京理工大学学报》2010年第4期420-424,共5页Transactions of Beijing Institute of Technology

基　　金：国家部委预研项目(7130318)

摘　　要：用有限元方法分析了内平动齿轮副的啮合综合刚度,得到内平动齿轮副的啮合综合刚度存在多阶不可忽略的谐波成分的激励.考虑了这种多齿接触的时变啮合综合刚度和间隙非线性因素,推导出内平动齿轮副系统的运动微分方程.通过数值计算,模拟仿真系统在不同量纲一的激励频率及阻尼比情况下的相图和Poincare映射图.结果显示,系统的周期数和碰撞振动特性均随着激励频率和阻尼比产生复杂的变化.Analyzes the meshing stiffness using finite element method,and proves that there are several indispensable harmonic having great effects to the system.Then considering the time varing meshing stiffness and backlash gives the dynamics differential equation.Based on this equation and according to numerical calculation it displays the phase diagram and Poincare mapping diagram at different driving frequency and damping ratio.The results show that the system＇s cycles and collision vibration characteristics will be of complex changes with the excitation frequency and damping ratio.

关 键 词：内平动齿轮副 时变啮合综合刚度 齿侧间隙 动力学 POINCARE映射 

分 类 号：TH113[机械工程—机械设计及理论]