• 数理科学和化学 •

### 平板流固耦合振动的数值分析

1. （上海交通大学 a.工程力学系； b.水动力学教育部重点实验室, 上海 200240)

• 收稿日期:2013-03-26 出版日期:2013-10-30 发布日期:2013-10-30
• 基金资助:

国家自然科学基金（10832007）资助项目，上海市重点学科（B206）资助项目

### Numerical Analysis of Fluid-structure Interaction Vibration for Plate

HU Shilianga,LU Chuanjinga,b,HE Youshenga,b

1.  (a.Department of Engineering Mechanics; b.MOE Key Laboratory of Hydrodynamics,  Shanghai Jiaotong University, Shanghai 200240, China)
• Received:2013-03-26 Online:2013-10-30 Published:2013-10-30

Abstract:

A numerical approach of a fluidstructure coupling with closely coupled algorithm was used to simulate the coupling motion between the fluid and the flexible plate. The fluid, which was modeled by the Arbitrary Lagrangian-Eulerian (ALE) formulation of the incompressible Navier-Stokes equations, was simulated by the finite volume method. The structure was described by the equation of the elastodynamics in Lagrangian representation, and was simulated using finite element approach. In order to satisfy the coupling interfacial boundary condition, the date transfer and interpolation was performed via the interface of the fluid and structure several times within one time step. The free oscillation of elastic plane in resting fluid and the VIV of flat plane behind the square head was calculated, and the amplitude and frequency of the plate vibration and the hydrodynamic load on the plate were monitored. The validity of the coupling method used in this paper was verified by comparing it with the previous work. Meanwhile, the influence of material parameters on fluidstructure interaction motion was analyzed. It was noted that larger viscosity of fluid damps had a more significant influence on the vibration amplitude of the plate more obviously. And with the increase of fluid density, the attenuation velocity of the vibration increased, while the frequency decreased. When the structure had low natural frequency, the amplitude and frequency of the coupling motion would also be small.