应用数学和力学2013，Vol.34Issue(9)：976-985,10.DOI:10.3879/j.issn.1000-0887.2013.09.011
三维弹性管的涡致振动特性分析
Analysis of Vortex-Induced Vibration Characteristics for a Three Dimensional Flexible Tube
冯志鹏 1张毅雄 1臧峰刚 1叶献辉1
作者信息
- 1. 中国核动力研究设计院核反应堆系统设计技术国家重点实验室,成都610041
- 折叠
摘要
Abstract
Numerical simulations of vortex-induced vibration of a three-dimensional flexible tube under uniform turbulent flow were calculated when Reynolds number was 1.35×104.In order to achieve the vortex-induced vibration,the three-dimensional unsteady,viscous,incompressible Navier-Stokes equation and LES turbulence model were solved in the finite volume approach,the rube was discretized according to the finite element theory,and its dynamic equilibrium equations were solved by the Newmark method.The fluid-tube interaction was realized by the diffusion-based smooth dynamic mesh method.For a VIV system,the varying trends of lift coefficient,drag coefficient,displacement,vortex shedding frequency,phase difference angle of the tube were analyzed at different frequency ratios.The nonlinear phenomena of lock-in and phase-switch were captured successfully.Meanwhile,the limit cycle and bifurcation of the lift coefficient and displacement were analyzed with trajectory,phase portrait and Poincaré section mapping.The results reveal that:when the drag coefficient reaches its minimum value,the transverse vibration amplitude reaches its maximum and lock-in begins simultaneously.In the range of lock-in,the vibration amplitude decreases gradually with increase of the frequency ratio.When the lift coefficient reaches its minimum value,the phase difference between the lift coefficient and lateral displacement undergoes a sudden change from an out-of-phase to an inphase mode.There is no bifurcation of the lift coefficient and lateral displacement occurring to the three dimensional flexible tube under uniform turbulent flow.关键词
涡致振动/极限环/大涡模拟/计算流体力学/有限元法Key words
vortex induced vibration/ limit cycle/ LES/ CFD/ FEM分类
数理科学引用本文复制引用
冯志鹏,张毅雄,臧峰刚,叶献辉..三维弹性管的涡致振动特性分析[J].应用数学和力学,2013,34(9):976-985,10.
