机械系统运动稳定性分析

Routh-Hurwitz Method of Motion Stability Analysis for Mechanical System

对机械运动中多自由度线性自治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)对上述系统的运动稳定性问题进行了研究探讨。并由给出的算例表明该方法较为简捷,实用。

There are many methods on the nlotion stability analysis of multiple degrees of freedom for linear autonomous system. But all these methods are limited by the usage conditions or mathematic analysis. In this paper, a new method for dealing with the motion stability of mechanical system is studied deeply based on Routh-Hurwitz Criterion, finally, the given example shows that this method is simple and practical.