This paper studies the dynamic modeling of four configurations of vortex-induced vibrations of a bladeless wind turbine (BWT). The BWTs consist of a bluff body mounted on a flexible structure in the flow field. The shape of the bluff body and its mounting structure are different among the proposed BWTs. The Euler-Bernoulli beam theory and the Galerkin procedure are used to derive a nonlinear distributed-parameter model for the BWTs under a fluctuating lift force due to periodically shedding vortices. The derived dynamic model is validated through comparison with a 3D CFD-FEM numerical simulation. The effects of the wind speed on the induced lift force, turbine deflection, and generated power of four BWTs are investigated. It is verified that the amplitude of the vibrations of the BWT increases significantly when the vortex shedding is synchronized with the structural oscillations. The results show that, while conic BWTs have a higher performance at post-synchronization region (i.e. high wind speeds), the right circular cylinder BWTs exhibits a better performance at pre-synchronization region (i.e. low wind speeds).

中文翻译：

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涡激振动风力涡轮机的动力学建模

本文研究了无叶片风力涡轮机 (BWT) 涡激振动的四种配置的动态建模。BWT 由安装在流场中的柔性结构上的钝体组成。所提出的 BWT 的钝体的形状及其安装结构是不同的。Euler-Bernoulli 梁理论和 Galerkin 程序用于推导出 BWT 的非线性分布参数模型，该模型在由于周期性脱落涡流而产生的升力波动下。通过与 3D CFD-FEM 数值模拟进行比较来验证导出的动态模型。研究了风速对四个 BWT 的诱导升力、涡轮机偏转和发电功率的影响。经验证，当涡旋脱落与结构振荡同步时，BWT 的振动幅度显着增加。结果表明，虽然圆锥BWT在同步后区域（即高风速）具有更高的性能，但右圆柱BWT在同步前区域（即低风速）表现出更好的性能。