Riccati传递矩阵法在流体动力学中的应用

传统的传递矩阵法在求解管内流体的固有频率时,因奇点干扰出现漏根现象.本文结合气体压缩机管道,运用转子动力学中的Riccati方法计算管内气体的固有频率及振型,从根本上消除了漏根现象.算例表明了本方法的可靠性.

The Application of Riccati Transfer Matrix Method in Fluid Dynamics

The natural frequencies of fluid in piping system are lost sometimes when the traditional transfer matrix method is used for calculation,because of the disturbance of singular point. This paper applies the Riccati transfer matrix method which is used effectively in rotor dynamics to calculate the natural frequencies and modes of the gas during the vibration research of reciprocating compressor piping system. The present method has an advantage on avoiding the missing of natural frequencies and simplifies the computation. A numerical example is presented.