含摩擦的汇流传动齿轮非线性动力学分析  

Nonlinear Dynamics Analysis of Convergent Transmission Gear Containing Friction

作　　者：郜浩冬[1,2] 张以都[1,2] 

机构地区：[1]北京航空航天大学虚拟现实技术与系统国家重点实验室,北京100191 [2]北京航空航天大学机械工程及自动化学院,北京100191

出　　处：《振动．测试与诊断》2014年第4期737-743,782,共7页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(51105025)

摘　　要：针对齿轮系统运行过程中具有非线性动力学特性,为研究齿面摩擦因数对系统动力学的影响,建立了一种考虑齿侧间隙,齿面摩擦力和时变啮合刚度等因素的三齿轮扭转振动模型。分析了布局参数对齿面摩擦力和时变啮合刚度的影响,研究了不同摩擦因数对系统动态响应的影响以及有无摩擦因数对系统混沌运动的影响,通过幅频曲线研究了系统的跳跃滞后现象和齿轮碰撞运动并分析了摩擦因数对它们的影响。结果表明,随着摩擦因数的变化,系统表现出同周期运动并存、不同周期并存和混沌等动力学现象,摩擦能导致混沌运动和跳跃现象提前并加大齿轮之间的碰撞运动。该结果可为汇流传动齿轮系统的非线性动态设计提供准确合理的理论参考。In order to study the influence of friction on the non-linear dynamic characteristics of the gear transmission system,a torsional vibration model with three gears is built that takes into account gear backlash,gear-face friction force,and time-varying mesh stiffness.The effect of layout parameters on gear-face friction force and time-varying mesh stiffness is analyzed.Both the system′s dynamic response under different friction coeficients and its chaos motion in the presence or absence of friction coeficients are discussed.The system′s jump-lag phenomenon and impact phenomenon are discussed using a frequency-response curve,while their response to friction coeficients is analyzed.The results indicate that with changes in friction coeficients,the system shows coexistence of the same periodic motion,coexistence of different periodic motion and chaos and system′s chaotic motion;the jump phenomenon is ahead because of the friction,and the gear′s impact motion is increased by the effect of friction.The results provide a reasonable theory reference for the nonlinear dynamic design of the convergent transmission gear system.

关 键 词：布局参数 摩擦 混沌 跳跃现象 碰撞运动 

分 类 号：TH113[机械工程—机械设计及理论]