考虑外部激励作用下的齿轮系统非线性动力学分析

Nonlinear Dynamics Analysis of Gear System Considering the Role of the External Excitation

研究了在外部激励作用下,齿轮传动系统参数对系统动力学的影响,为避免齿轮在混沌状态下工作提供了理论依据。它以单自由度直齿圆柱齿轮传动系统为研究对象,建立了非线性动力学模型,在模型中综合考虑了内部激励及和外部激励等因素。利用Runge)Kutta数值计算方法对系统的非线性动力学方程进行了求解,分析了齿轮系统在外部激励作用下,所表现出的周期和混沌运动状态,为齿轮的设计及制造和获得更好的性能提供了理论指导。

The impact of system parameters of the gear transmission system in the role of an external excitation on the system dynamics is studied, and a theoretical basis is provided in order to avoid gear working in a chaotic state. A single degree of freedom spur gear drive system is viewed as the research object, a nonlinear dynamical model is estab- lished, which is regarded the nonlinear factors of internal excitation and external excitation. Besides, a Runge - Kutta numerical method for solving the nonlinear dynamic equations of the system is applied to the research, the period and chaotic state of the gear system in an external excitation are analyzed, and a theoretical guidance for the design and manufacture of the gear and get better performance is provided.