轴向周期激励下含脉动流体简支管道横向振动稳定性分析

摘要

研究轴向周期外激励对含有脉动流体两端简支输流管道横向振动稳定性的影响.基于经典流固耦合方程,采用二阶Galerkin方法求解,用解的收敛性作为稳定判据求取管道横向振动稳定性方程.研究结果表明,在管道某一失稳频率下,当管道受到相应频率的轴向激励且其激励幅在一定限度内时,该激励可以改善简支脉动输流管道横向振动的稳定性；当激励幅超过一定限度,系统的稳定性开始恶化；当轴向周期激励频率远离该失稳频率时,对该失稳频率附近管道的稳定性不产生明显影响.%Using classical equations of fluid-structure interaction (FSI),the influence of axial external periodic excitation on the stability of a transverse vibration of a pinned-pinned pipe conveying pulsing fluid was studied. The second-order Galerkin method was used to solve the equations. The convergence of the solutions was taken as a stability criterion to obtain a stability curve. The results showed that the axial periodic excitation can improve the stability of the pinned-pinned pipe conveying pulsing fluid when the excitation has one of the instable frequencies of the pipe,and the amplitude of the excitation is in a certain limit; the stability of the system began to deteriorate when the amplitude of the excitation exceeds the certain limit; the excitation can not produce significant effect on the stability of the pipeline when the frequency of the axial periodic excitation is far away from the instable frequencies of the pipe.