基于Euler-Bernoulli梁模型输流管道流固耦合振动分析的快速算法

根据Ham ilton变分原理导出了基于Eu ler-Bernou lli梁模型的输流管道流固耦合振动的变分方程,采用快速算法求解了耦合系统自由振动的固有频率、临界流速和临界压力,讨论了支撑刚度、流体流速与流体压力对耦合振动的影响,验证了该算法的准确性。研究结果表明,输流管道的固有频率、临界流速和临界压力随支撑刚度的增加而提高,而固有频率则随临界流速、临界压力提高而降低。文中算例则表明该快速方法具有计算准确、高效便捷的特点,为工程上输流管道的快速设计提供了有力工具。

A Fast Algorithm for Fluid-Structure Interaction Vibration Analysis of Fluid Conveying Pipe Based on Euler-Bernoulli Beam Theory

Following the Euler-Bernoulli beam theory and the Hamilton variational principle, the fluid-structure interaction vibration variational equation is established for the conveying pipe. The natural frequency, critical velocity and critical pressure are obtained by means of the fast algorithm. The influence of support stiffness, flowing velocity and fluid pressure on coupling vibration is discussed. Research results indicate that the natural frequency, critical velocity and critical pressure increase with the support stiffness increases, and the natural frequency reduce with the flowing velocity and fluid pressure increase. The results of an example show that the fast algo- rithm is satisfactory with precision and efficiency and presents a very useful tool for rapid design of conveying pipes in engineering.