基于分离系数矩阵差分法的输流管道轴向耦合响应特性研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (5) : 148-154.

论文

张挺1，谭志新1，张恒1，范佳铭2，杨志强1

作者信息 +

Axial coupled response characteristics of a fluid-conveying pipeline based on split-coefficient matrix finite difference method

ZHANG Ting1, TAN Zhixin1, ZHANG Heng1, FAN Chiaming2, YANG Zhiqiang1

Author information +

文章历史 +

摘要

利用分离系数矩阵差分法配合隐式欧拉法，针对输流直管轴向振动流固耦合-四方程模型进行数值仿真计算，研究在水锤激励下，输流直管耦合轴向振动响应特性。分离系数矩阵差分法避开特征线法复杂的时间或空间插值，能根据波的传播方向选择适当的差分公式进行计算，简单可行且稳定性较好。将该数值模式的计算结果与前人的数值结果和经典水锤理论对比，吻合良好，表明其具有较高的适应性和准确性。对比分析了仅考虑泊松耦合时和同时考虑泊松与连接两种耦合时，流体流速、管内压强、轴向管道振动速度以及管壁应力四个特征参数的响应特性。结果表明，两种耦合作用对管道轴向振动特性的影响不容忽视，泊松耦合主要影响振动响应幅值，而连接耦合不仅会影响振动幅值，还会影响振动频率。

Abstract

To study axial coupled vibration response of a fluid-conveying pipeline excited by water hammer, the split-coefficient matrix finite difference method (SCM-FDM) combined with the implicit Euler method (IEM) was proposed to do numerical simulation for the pipeline 4-quation dynamic model with fluid-structure interaction. The proposed SCM-FDM was simple, easy and stable to implement since the appropriate difference formulas were selected according to the direction of wave propagation. Compared with the method of characteristics lines (MOCL), SCM-FDM avoids time-consuming calculations of spatial or temporal interpolations. To verify the applicability and accuracy of SCM-FDM, its computation results were compared with other authors’ numerical results and those of the water hammer theory, they agreed well each other. Furthermore, the effects of fluid velocity, fluid pressure, axial pipe vibration velocity and pipe-wall stress on the system’s vibration response features were analyzed in two cases including only considering Poisson coupling and considering both Poisson coupling and connection one. The results indicated that the effects of both two couplings on the axial vibration features of the fluid-conveying pipeline can’t be ignored; Poisson-coupling mainly affects amplitudes of vibration response, while the connection coupling affects both amplitude and frequency of vibration response.

导出引用

张挺1，谭志新1，张恒1，范佳铭2，杨志强1. 基于分离系数矩阵差分法的输流管道轴向耦合响应特性研究[J]. 振动与冲击, 2018, 37(5): 148-154

ZHANG Ting1, TAN Zhixin1, ZHANG Heng1, FAN Chiaming2, YANG Zhiqiang1. Axial coupled response characteristics of a fluid-conveying pipeline based on split-coefficient matrix finite difference method[J]. Journal of Vibration and Shock, 2018, 37(5): 148-154

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