高速转轴多阶临界转速的精确计算

Multi-Critical Speed Accurate Calculation of High-Speed Rotating Shaft

针对工程上常用方法计算高速转轴临界转速精度不高 ,且不便计算多阶临界转速的缺陷 ,本文应用克雷洛夫函数精确解作为传递矩阵 ,推导了求解高速转轴系统临界转速的特征方程 ,以Matlab软件为数值计算工具给出了具体的算例。结果表明 :此法能方便快捷地精确计算出高速转轴的多阶临界转速。

For the method to calculate the multi-critical sp eed of high-speed rotating shaft is rough and inconvenience,by applying the prec ise solutions of Крылов-Кушуль Functions as transfer matrix,a charac teristic equation to solve the multi- critical speed was derived.An example usin g the tool of Matlab was presented,and it is proved that this method is very eff icient to calculate multi-critical speed of high-speed rotating shaft precisely.