汇流传动齿轮-转子-轴承系统非线性动力学分析  

Nonlinear dynamic characteristics of a confluence transmission geared rotor bearing system

作　　者：郜浩冬[1,2] 张以都[1,2] 吴琼[1,2] 高相胜[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：《振动与冲击》2013年第8期105-113,127,共10页Journal of Vibration and Shock

摘　　要：考虑齿侧间隙、传动误差和时变啮合刚度等非线性因素,并同时考虑滑动轴承非线性油膜力和齿轮啮合力的耦合影响,建立了汇流传动齿轮-转子-轴承系统的动力学模型。从转速方面出发,研究了齿轮系统的非线性动态响应,分析了齿轮啮合力和非线性油膜力之间的耦合作用,判断了转速变化下的油膜稳定性。结果表明:随着转速变化,系统表现出周期一运动、周期二运动、拟周期运动,混沌等丰富的动力学特性,并发现了拟周期分岔通向混沌的道路;随着转速升高,非线性啮合力和非线性油膜力先后对系统振动起到主要作用;油膜振动通过半频涡动失去了稳定性。Considering nonlinear facters of backlash, transmission error, and time-varying mesh stiffness in a gear system, nonlinear mesh force of gear pairs and nonlinear oil film force of a journal bearing were considered synchronously, the dynamic model of a confluence transmission geared rotor bearing system was proposed. Starting from the variation of rotating speed, the nonlinear dynamic response of the gear system was studied, the coupling between the nonlinear gear mesh force and the nonlinear oil film force was discussed, the oil film＇s stability with the change of rotating speed was judged. The results indicated that with increase in rotating speed, the system reveals period one motion, period two motion,quasi- periodic motion and chaos motion, the way from quasi-periodic bifurcation to chaos was found; with increase in rotating speed, the nonlinear gear mesh force and the nonlinear oil film force affect the system vibration significantly; the oil film vibration loses stability through half frequency whirling motion.

关 键 词：齿轮-转子-轴承系统 拟周期分岔 非线性油膜力 半频涡动 

分 类 号：TH113[机械工程—机械设计及理论]