变轴径转轴临界转速计算的状态空间法

The state space method of calculation of crises rotation rate for rotating axle with varied diameters

本文采用状态空间方法研究了变轴径转轴临界转速的计算问题 ,将变轴径转轴作横向振动时的主振微分方程转化为多元一阶常微分方程组 ,并利用状态转移的概念 ,使常微分方程组线性化 ,借精细积分的思想建立计算变轴径转轴临界转速的计算方法 ,这种方法避免了繁琐的数学推导 ,简便易行 ,计算精度很高。

In this paper, the state space method is adopted to study the calculation for crises rotation rate of rotating axle with varied diameters. The differential equation of dominate vibration as vibrating horizontally is translated into a group of one exponent ordinary differential equations, and the notion of state transfer is used to make the ordinary differential equations become linearity, and then the calculation method of crises rotation rate is set up by use of the idea of fine integral. This method with high accuracy avoids numerously and trivially mathematic derivation and is simple in application. Also, the practical examples are given at last.