悬臂输流管道在端部随从力作用下的稳定性

对在端部随从力和流体流动共同作用下的输流管道,以欧拉伯努利梁为基础建立管道的运动微分方程,并以梁的振型函数为试函数,采用伽辽金方法对方程进行离散.通过对特征值分析,研究了不同参数对悬臂输流管道振动与稳定性的影响以及无量纲复频率与系统失稳临界流速的关系.结果表明:端部随从力的变化对系统失稳临界流速有很大的影响;系统的失稳方式和临界流速的大小有关;系统的失稳方式主要以发散失稳和单模态颤振失稳为主.

Stability of Cantilever Pipes Conveying Fluidwith End Follower Force

Based on Euler-Bernoulli beam model,the dynamic differential equation for fluid-conveying pipes under co-action of end follower force and flowing fluid is established,which is then discretized with Galerkin method by choosing the beam modal functions as trial functions.Influences of different parameters to the vibration and stability of cantilever pipes conveying fluid and the relationship between dimensionless complex frequency and the critical flow velocity are studied by analyzing eigenvalues.Results show that the variation of the end follower force has great influence on the critical flow velocity.The types of instability of the system are related to the magnitude of the critical flow velocity.Divergence and single-model flutter are two prevailing types of instability of the system.