管道轴向流固耦合振动的行波方法研究

 基于梁模型,考虑泊松耦合与连接件耦合的影响,研究了输流管道轴向振动的波传播方程及节点散射模型,在此基础上提出了行波法分析管道流固耦合振动。以轴向位移为基本变量,推导了输流管道轴向振动的波导方程;通过节点散射模型,组集了管道流固耦合的动力学模型,在此基础上,研究了管道在几种不同边界条件约束下,泊松耦合、连接耦合对管道振动的影响。文中算例表明行波法具有建模简单且数值精度高的特点,可以应用到复杂管道的建模与控制中。

Fluid-and-Structure Interaction Analysis of Pipe Axial Vibration by the Traveling Wave Method

The axial vibration of liquid-filled pipe is analyzed on the base of beam model considering Possion coupling and junction coupling. Wave propagation equation and nodal scattering model of the fluid-structure interaction(FSI) system are formulated. Based on the scattering model, a new approach of the traveling wave method is presented to study the coupling vibration of pipes. The wave-guide equation of the liquid-filled pipe is deduced by adopting the axial displacement as basic variable. The dynamic model of the FSI system is assembled according to the nodal scattering equation. Based on the above works, the effects of Possion coupling and junction coupling are investigated accounting for several different boundary conditions. Numeric simulation indicates that the traveling wave method is very convenient to model structures and it gives high numerical precision. So this method can be applied to complicate pipe modeling and controlling.