微型旋转机械是MEMS中的重要动力源之一,微转子作为系统的主要驱动部件,其动力学特性直接影响到整个系统的稳定性和可靠性.本文以Jeffcott微转子系统为研究对象,建立微转子系统的碰摩力模型和系动微分方程,应用微分方程稳定性和分岔理论,分析微转子碰摩解的稳定性与分岔特性及系统参数对稳定域的影响.结果表明:微转子转动角频率、偏心量、静子径向刚度、阻尼系数及摩擦系数等系统参数是影响MEMS微转子系统稳定性的主要因素.
Rotational micro-machinery is an important power source for a micro-electric mechanical system (MEMS), the main driving component of which is a micro-rotor. Dynamic characteristics of the rotor affect the stability and reliability of the whole system directly. The general model of a Jeffcott micro-rotor system with rub-impact is established on the basis of the classic impact theory and is analyzed by the modern nonlinear dynamics and bifurcation theories. The paper the stability of the rub solutions of the rotor system, and the investigation indicates that the rotational angular frequency, imbalance, damping coefficient, radial stiffness, friction coefficient and other parameters of the rotor system are the main factors which affect its stability.