线性周期时变振动系统的稳定性分析

STABILITY ANALYSIS OF THE LINEAR PERIODICALLY TIME-VARYING VIBRATION SYSTEM

通过李雅普诺夫变换 ,对线性周期变系数振动系统的稳定性进行了定性的讨论。基于Floqent理论 ,分析了线性周期变系数振动系统的临界速度和低阶临界速度。同时 ,通过求解一个周期段上的区间状态转移矩阵的特征值 ,从而求解线性周期时变系统的特征指数 。

By system transformation, the stability of the linear periodically time-varying system can be analyzed qualitatively. The critical speeds and lower orders of critical speeds are discussed by Floquent theory. Also, the eigen exponential which determines the stability of the system can be obtained by solving the eigenvalues of the state transformation matrix in a periodic interval.