离心调速器稳定性分析的Routh-Hurwitz方法

Routh-Hurwitz Method of Stability Analysis for Centrifugal Rotational Speed Modulator

对机械运动中多自由度线性定常系统的运动稳定性分析有多种方法,但是这些方法不是受到使用条件的限制就是数学分析繁杂。本文利用劳斯-赫尔维茨判据(Routh-Hurw itz C riterion)对机械系统中离心转速调节器的运动稳定性进行了分析,这种分析方法的优点就在于:建立系统运动微分方程的特征方程后,不必求解特征方程的根,只需知道根的符号就可判断系统的零解稳定性。结果表明使用Routh-Hurw itz方法分析运动稳定性问题更为简捷,实用。

There are many methods on the motion ability analysis of multiple degrees of freedom for linear constraint system. But all these methods are limited by usage conditions or mathematic analysis. In this paper,a new method used to deal with the motion ability is studied deeply based on Routh-Hurwitz Criterion, The advantage of this kind of analysis method consists in the fact that after establishing the equation in differential calculus for the motion system, there is no need to know a root of the equation,if you know the root signs,you can judge the zero solution stability of the system, Finally,the rotational speed modulator of centrifugal shows that this method is simple and practical.