The strip theory in hydrodynamics has been widely used for predicting complex vortex induced vibrations (VIV) behind bluff bodies, but the question of how accurate such predictions are has not been addressed adequately before. In order to corroborate the application of strip theory in VIV, we present a comparative study between free mono-frequency vibrations of a long flexible cylinder in both uniform and linearly sheared flow and corresponding forced vibrations of a rigid cylinder with prescribed sinusoidal motions. We employ the entropy–viscosity large-eddy simulation (LES) to resolve the vortical flow and the coupled cylinder response, which we validate by companion experiments of the same configuration. We then extract from LES, at the same Reynolds number, the values of the sectional vibration amplitude, frequency, and phase angle (between inline and crossflow motions), and use them as input parameters for the forced vibration case, for which we perform two-dimensional simulations. We show here by systematic simulation studies that the hydrodynamic coefficients exhibit strong similarities between the two cases, and the forced vibration closely resembles the sectional near wake of the free vibration.

流体动力学中的带状理论已被广泛用于预测阻流体的复杂涡激振动（VIV），但这种预测的准确性如何尚未得到足够的解决。为了证实带状理论在VIV中的应用，我们对长挠性圆柱体在均匀和线性剪切流中的自由单频振动与具有规定正弦运动的刚性圆柱体的相应强迫振动之间进行了比较研究。我们采用熵-粘度大涡模拟（LES）来解决涡流和耦合圆柱体响应，并通过相同配置的伴随实验进行了验证。然后，以相同的雷诺数从LES中提取截面振动幅度，频率，二维模拟。我们在这里通过系统的模拟研究表明，两种情况之间的流体动力系数表现出很强的相似性，并且强迫振动非常类似于自由振动的近剖面。