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Numerical Analysis of Vortex Induced Vibration of Circular Cylinder in Lock-in Regime

Lock-in 영역에서 원형실린더의 와류유기진동 전산해석

  • Lee, Sungsu (School of Civil Engineering, Chungbuk National Univ.) ;
  • Hwang, Kyu-Kwan (Department of Civil System Engineering, Chungbuk National Univ.) ;
  • Son, Hyun-A (School of Civil Engineering, Chungbuk National Univ.) ;
  • Jung, Dong-Ho (Korea Research Institute of Ships & Ocean Engineering)
  • Received : 2015.08.09
  • Accepted : 2015.10.09
  • Published : 2016.02.28

Abstract

The slender structures such as high rise building or marine riser are highly susceptible to dynamic force exerted by fluid-structure interactions among which vortex-induced vibration(VIV) is the main cause of dynamic unstability of the structural system. If VIV occurs in natural frequency regime of the structure, fatigue failure likely happens by so-called lock-in phenomenon. This study presents the numerical analysis of dynamic behavior of both structure and fluid in the lock-in regimes and investigates the subjacent phenomena to hold the resonance frequency in spite of the change of flow condition. Unsteady and laminar flow was considered for a two-dimensional circular cylinder which was assumed to move freely in 1 degree of freedom in the direction orthogonal to the uniform inflow. Fluid-structure interaction was implemented by solving both unsteady flow and dynamic motion of the structure sequentially in each time step where the fluid domain was remeshed considering the movement of the body. The results show reasonable agreements with previous studies and reveal characteristic features of the lock-in phenomena. Not only the lift force but also drag force are drastically increasing during the lock-in regime, the vertical displacement of the cylinder reaches up to 20% of the diameter of the cylinder. The correlation analysis between lift and vertical displacement clearly show the dramatic change of the phase difference from in-phase to out-of-phase when the cylinder experiences lock-in. From the results, it can be postulated that the change of phase difference and flow condition is responsible for the resonating behavior of the structure during lock-in.

고층빌딩이나 해양 라이저와 같은 세장 구조물은 구조시스템의 동적 불안정의 주요 원인인 와류유기진동(vortex-induced vibration, VIV)에 의한 동하중에 매우 취약하다. 와류유기진동이 라이저의 고유진동수 영역에서 발생하는 경우 Lock-in현상으로 피로파괴의 우려가 있다. 본 논문에서는 Lock-in 영역에서 구조물과 유동의 동적거동에 대한 수치해석을 다루었으며, 유동조건 변화에도 불구하고 공진 주파수가 유지되는 현상에 대해 분석하였으며, 유입유동에 대해 수직방향으로 자유진동하는 1자유도의 2차원 원형실린더 단면에 대한 비정상 층류를 가정하였다. 각 시간 단계에서 물체의 움직임을 고려하여 유동장 격자를 재생성하며 비정상 유동과 물체의 운동에 대한 지배방정식을 순차적으로 수치해석하여 유체-구조 연성해석을 수행하였다. 결과는 선행연구와 잘 일치함을 보여주었고, Lock-in 현상에 대한 특성을 잘 나타내었다. Lock-in 영역에서는 양력뿐만 아니라 항력도 크게 증가함을 보여주었으며, 실린더의 수직변위는 직경의 20%까지 이름을 나타내었다. 양력과 수직변위의 상관분석을 통해 실린더가 Lock-in 영역에서 양력과 수직변위의 위상차가 동기로부터 반동기로 천이함을 확인하였으며, 이러한 변화가 Lock-in 영역에서 나타나는 공진거동의 원인이 되는 것으로 판된되었다.

Keywords

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