固—液耦合Timoshenko管道的稳定性分析

根据Ｈａｍｉｌｔｏｎ原理的固－液耦合振同分方程用幂级数法计算了Ｔｉｍｏｓｈｅｎｋｏ管道的固有频率和临界流速。给出了管道前三阶固有频率－流速的关系曲线，分析了转动惯量对该输流管道的稳定特性的影响。计算结果表明，转动一对两端简支的固－液合Ｔｉｍｏｓｈｅｎｋｏ管道的静力失稳没有影响，但对其频率特性和动力失稳有影响。

Stability Analysis of Solid Liquid Coupling Timoshenko Pipes

On the basis of Hamilton priciple, the differential equation of solid liquid coupling vibration of Timoshenko pipe conveying fluid is derived. The natural frequencies and critical flow velocities of Timoshenko pipe are calculated by power series method. The curves of the first three orders of natural frequency flow velocity of Timoshenko pipe are given and the effect of moment of inertia on stability of the pipe is analysed. The numerical result shows that moment of inertia has no effect on the static instability of hinged hinged Timoshenko pipe but an effect on the frequency behaviors and the dynamic instability of it.