STUDY OF A STATIC AND VERTICALLY FREE-TO-OSCILLATE 4:1 RECTANGULAR CYLINDER BY MEANS OF 2D URANS SIMULATIONS

A. J. Álvarez, F. Nieto, S. Hernández
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Abstract

Flexible structures, such as cable-supported bridges, are prone to suffer from vortex-induced vibrations (VIV) under wind flow, as their span lengths are steadily growing in the last decades. VIV is a phenomenon that takes place at reduced wind speeds. The movements of the structure at VIV are self-limited and their frequency corresponds with the natural frequency of the structure (lock in). Therefore, VIV affects the structure’s serviceability and can cause fatigue related damage. Hence, the need for identifying and avoiding this phenomenon at the early design stages is a key issue in long-span bridges design. In the present study a rectangular cylinder of width to depth ratio 4:1, which is a common simplification of a bridge deck cross section, is analysed for the static case as well as undergoing free vibration in the vertical direction under wind flow. These analyses have been carried out by 2D URANS CFD simulations, adopting two different turbulence models: the k − ω SST, which is based upon the Boussinesq eddy-viscosity approximation, and the Reynolds Stress Model, which directly calculates the components of the specific Reynolds stresses. For the static case the force coefficients, Strouhal number and the pressure coefficient distributions were calculated and compared with the available experimental data. In the case of the free-to-oscillate 4:1 rectangular cylinder, the oscillation amplitudes are compared with wind tunnel data reported in the literature. In addition, the frequencies and phase-lags between the time-dependent lift coefficient and the vertical oscillations are studied.
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静态和垂直自由振荡4:1矩形圆柱的二维数值模拟研究
在过去的几十年里,随着索桥跨度的不断增长,柔性结构在风的作用下容易产生涡激振动(VIV)。VIV是一种在风速降低时发生的现象。结构在极频处的运动是自限的,其频率与结构的固有频率(锁紧)相对应。因此,涡激振动影响结构的使用性能,并可能导致疲劳相关损伤。因此,在大跨度桥梁设计的早期阶段识别和避免这种现象是一个关键问题。本文分析了桥面截面的一种常用简化形式——宽深比为4:1的矩形柱体在静力情况下以及在风的作用下垂直方向上的自由振动情况。这些分析是通过二维URANS CFD模拟进行的,采用了两种不同的湍流模型:基于Boussinesq涡流黏度近似的k−ω海表温度模型和直接计算特定雷诺兹应力分量的雷诺兹应力模型。在静态情况下,计算了力系数、斯特劳哈尔数和压力系数的分布,并与已有的实验数据进行了比较。在自由振荡的4:1矩形圆柱的情况下,振荡幅度与文献中报道的风洞数据进行了比较。此外,还研究了随时间变化的升力系数与垂直振荡之间的频率和相位滞后。
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