This paper investigates the effect of the aerodynamic shape on nonlinear dynamics of a cable induced by vortex-induced vibration (VIV) with theoretical and computational fluid dynamics (CFD) method. Firstly, a two-dimensional (2-D) CFD model is established and calculated by using the shear stress transport (SST) - model to supply the necessary drag and lift coefficients for perturbation analysis. Secondly, the planar transverse vibration equation of the cable is established and the wind load is described by the van der Pol wake oscillator. Then, the above two equations are discretized by the Galerkin method, and the modulation equations are obtained by the multiscale method. The results are verified by Runge-Kutta method. Thereafter, three different aerodynamic shapes of the cable are considered and five wind attack angles are defined to extensively investigate the influence on nonlinear dynamic behaviors. The results show that the variation of the cable cross-section significantly changes its aerodynamic performance, and the aerodynamic coefficient of the asymmetric structure is very sensitive to the wind attack angle. Arranging aerodynamic measures (such as soft tail) in the downwind of the cable can effectively reduce the aerodynamic coefficient and dynamic response of the structure.

中文翻译：

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不同气动形状涡激振动下电缆非线性动力学的理论和 CFD 研究

本文利用理论和计算流体动力学 (CFD) 方法研究了气动形状对涡激振动 (VIV) 引起的电缆非线性动力学的影响。首先，使用剪应力传递（SST）模型建立和计算二维（2-D）CFD模型，为扰动分析提供必要的阻力和升力系数。其次，建立了索的平面横向振动方程，并用van der Pol尾流振子来描述风载荷。然后，利用伽辽金法对上述两个方程进行离散化，利用多尺度法得到调制方程。通过龙格-库塔法对结果进行了验证。此后，考虑了电缆的三种不同的空气动力学形状，并定义了五个风攻角，以广泛研究对非线性动态行为的影响。结果表明，拉索横截面的变化显着改变了其气动性能，且非对称结构的气动系数对风攻角非常敏感。在拉索顺风处布置气动措施（如软尾），可以有效降低结构的气动系数和动力响应。