基于Routh-Hurwitz法的离心调速器稳定性分析

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.利用劳斯-赫尔维茨判据（Routh-HurwitzCriterion）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-Hurwitz方法分析运动稳定性问题更为简捷、实用.

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

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