脉动环状流作用下输流管道的非线性振动特性分析

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (21) : 119-125.

论文

周云龙，米列东

作者信息 +

Nonlinear vibration characteristics of pipeline conveying fluid under pulsating annular flow

ZHOU Yunlong, MI Liedong

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文章历史 +

摘要

输流管道内流体的脉动是造成管道系统失稳的重要因素。对于环状流虽然气、液两相速度相差很大，但液相介质流动特性对管道振动特性的影响不容忽视。为了分析环状流液相介质的脉动对管道非线性振动的影响，建立了管道横向振动模型。模型方程利用Galerkin法进行离散，同时采用4th-Runge-Kutta迭代方法求解。分析了包括固有频率、临界气速、分岔、混沌等基本动力学特征。研究结果表明：表观液速增加不仅导致系统固有频率显著下降而且使得系统的临界气速下降。不考虑液相脉动时，只观察到Pitchfork分岔，表观液速由0.2m/s增加到0.9m/s过程中分岔起点由31.9m降低到21.8m。当液相介质脉动时，管道系统随着脉动频率增加检测到包括多种形态的周期运动、概周期运动以及混沌等振动形态。研究结果对于工程具有指导意义。

Abstract

Pulsating internal flow is one of the important factors causing instability of piping system. For the annular flow, the influence of liquid velocity on the vibration characteristics should be not ignored, although there is huge velocity difference between the gas and liquid phase. In order to investigate the effect of pulsatile liquid phase on the nonlinear vibration of system, a lateral motion model has been established, and is then discretized by Galerkin approach The discretized equations are solved by 4th-Runge-Kutta iterative method. The natural frequencies, critical gas velocities, bifurcation and chaos are comprehensively analyzed to show the fundamental dynamical properties of the system. The results show that both the natural frequencies and the critical gas velocities decreased significantly with the increase of the superficial liquid velocity. Only Pitchfork bifurcation was observed without considering pulsation of liquid phase, and the bifurcation starting point decreased from 31.9m to 21.8m during the increase of superficial liquid velocity from 0.2m/s to 0.9m/s. Various vibration modes of the system were detected including the motions of periodic, almost periodic, and chaos for the condition of the liquid phase pulsation. The results of the study are of guidance for engineering.

导出引用

周云龙，米列东. 脉动环状流作用下输流管道的非线性振动特性分析[J]. 振动与冲击, 2023, 42(21): 119-125

ZHOU Yunlong, MI Liedong. Nonlinear vibration characteristics of pipeline conveying fluid under pulsating annular flow[J]. Journal of Vibration and Shock, 2023, 42(21): 119-125

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