Theoretical Model and Numerical Simulation of Three-Dimensional Flow Induced Vibration

Zhang Chuhua

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Theoretical Model and Numerical Simulation of Three-Dimensional Flow Induced Vibration

更新时间：2025-12-08

- Theoretical Model and Numerical Simulation of Three-Dimensional Flow Induced Vibration
- Vol. 41, Issue 5, Pages: 512-516+525(2007)
- 作者机构：
  
  西安交通大学流体机械及压缩机国家工程研究中心,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： O357
- Online First：10 May 2007，
  
  Published：2007
- 稿件说明：
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Zhang Chuhua. Theoretical Model and Numerical Simulation of Three-Dimensional Flow Induced Vibration[J]. 2007, 41(5): 512-516+525.
DOI：

Zhang Chuhua. Theoretical Model and Numerical Simulation of Three-Dimensional Flow Induced Vibration[J]. 2007, 41(5): 512-516+525. DOI：

摘要

建立了三维流体诱发振动的理论及数值模型

采用任意拉格朗日-欧拉框架下的三维非定常Navier-Stokes方程组及波动方程组

分别描述了流体的流动及结构振动.流动及振动控制方程组分别采用基于非结构化运动网格上的有限体积法和有限差分法求解.对刚性、受限振动及自由振动的三维圆柱体进行了数值计算.结果表明:圆柱的自由振动基本上为Strouhal型涡诱发振动

即每个截面按“8”字型轨迹运动

且横向振幅远大于流向振幅

计算结果与现有的实验及数值解吻合较好.首次采用流体诱发振动模型对极限环振动模式进行了定量分析

发现在圆柱中间截面附近高频气动力对振动起阻尼作用

而在端面附近气动力与位移间的稳定相位差对振动起激励作用.

Abstract

A theoretical and numerical model for three-dimensional flow induced vibration was proposed. The theoretical model consists of three-dimensional unsteady Navier-Stokes equations under arbitrary Lagrange-Euler frame for fluid flow

and wave equations for structural vibration. The numerical method is finite volume method on unstructured moving mesh for fluid flow and finite differencemethod for structural vibration. The proposed method is applied to rigid stationary

constrained vibrating and freely vibrating circular cylinders

respectively. For the rigid case

the present results fit the available data well. For the flexible case

the cylinder vibrates freely as Strouhal-type mode in which each cylinder section is in motion along “8” shaped trajectory. The limiting cycle vibration mode was interpreted for the first time using flow induced vibration model. At the midspan region

the fluid force plays a damper role in the cylinder vibration mainly due to the third harmonic component

while at the near wall region

the relative stable phase difference between the fluid force and the vibration displacement plays an actuator role in the vibration.

关键词

Keywords

references

Haase W, Selmin V, Winzell B. Progress in computational flow structure interaction: results of the project UNSI[M]. Berlin: Springer, 2002.

Griffin O M. Vortex induced vibrations of marine structures in uniform and sheared currents[C]∥ NSF Workshop on Riser Dynamics.Michigan, USA: University of Michigan, 1992.

Khalak A, Williamson C H K. Dynamics of a hydroelastic cylinder with very low mass and damping[J]. Journal of Fluids and Structures, 1996, 10(4): 455-472.

Hover F S, Techet A H, Triantafyllou M S. Forces on oscillating uniform and tapered cylinders in cross flow[J]. Journal of Fluid Mechanics, 1998, 363: 97-114.

Newman D, Karniadakis G E. A direct numerical simulation study of flow past a freely vibrating cable[J]. Journal of Fluid Mechanics, 1997, 344: 95-136.

张楚华,谷传纲,苗永淼.非结构化网格方法及其差分格式[J].西安交通大学学报,1999,33(9):58-61.

Zhang Chuhua, Gu Chuangang, Miao Yongmiao. Unstructured grid method and its differential schemes for NS equation[J]. Journal of Xi'an Jiaotong University, 1999, 33(9):48-61.

Zhang Chuhua, Liu Yang, So R M C. Three-dimensional wake interactions for cylinders array in a cross flow[C]∥ 8th Flow-Induced Vibration. Imprime en, France:Kluwer Academic Publishers, 2004:313-318.

So R M C, Liu Yang, Cui Zhenxin, et al. Three-dimensional wake effects on flow induced forces[J]. Journal of Fluids and Structures, 2005, 20(2): 373-402.

Norberg C. An experimental investigation of the flow around a circular cylinder: influence of aspect ratio[J]. Journal of Fluid Mechanics, 1994, 258: 287-316.

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