输液管道流固耦合非线性动力稳定分析

Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes

将弱约束输流管道非定常流液固耦合运动按波_流_振动系统建模成由 4个非线性微分方程组成的分析模型 ,按模态进行分解研究系统在多种耦合状态下具有的运动稳定特性· 以悬臂梁管道为例分析了耦合系统奇点的属性 ,得到了前四阶模态运动的相图· 结果说明 ,多种耦合条件下输流管道的稳定性变得更为复杂 ,各阶模态运动具有不同的稳定特性·

Nonlinearly dynamic stability of flexible liquid-conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique . The effects of Poisson . Junction and Friction couplings in the wave-flowing-vibration system on the pipe dynamic stability were included in the analytical model constituted by four nonlinear differential equations . An analyzing example of cantilevered pipe was done to illustrate the dynamic stability characteristics of the pipe in the full coupling mechanisms , and the phase curves related to the first four modal motions were drawn . The results show that the dynamic stable characteristics of the pipe are very complicated in the complete coupling mechanisms, and the kinds of the singularity points corresponding to the various modal motions are different.