In this paper we propose the use of the power series method and the Newmark-Beta algorithm to study the mitigation by the tuned mass damper (TMD) of an offshore wind turbine(OWT). The monopile of the OWT is taken as slender beam buried in a homogeneous soil while the tower is considered as tapered slender beam. Mathematically, both monopile and tower are modeled as elastic Euler-Bernoulli beams, with a point mass at the tower top representing the rotor nacelle assembly (RNA). First of all, the power series method is utilized to calculate the first natural frequencies of AF and CS models. The obtained results are compared with the first natural frequency of DS model obtained from FEM-Abaqus with good satisfaction. Next, the obtained mode shapes are used to establish the system of ordinary differential equations (ODE) governing the dynamic of OWT subjected to a TMD. Afterwards, the Newmark-Beta algorithm is employed to solve the ODE. Accuracy of the introduced approach is verified by setting a comparison between our results with those obtained using FEM-Abaqus. Finally, the influence of several parameters on the performance of TMD is shown in some plots.

在本文中，我们提出使用幂级数方法和Newmark-Beta算法来研究海上风力涡轮机（OWT）的调谐质量阻尼器（TMD）的缓解。OWT的单桩被视为埋在均匀土壤中的细长梁，而塔被视为锥形细长梁。在数学上，单桩和塔架均建模为弹性Euler-Bernoulli梁，塔架顶部的点质量代表转子机舱组件（RNA）。首先，使用幂级数方法来计算AF和CS模型的第一个固有频率。将获得的结果与从FEM-Abaqus获得的DS模型的第一自然频率进行比较，并获得满意的结果。下一个，所获得的模式形状用于建立支配经受TMD的OWT动力学的常微分方程（ODE）系统。然后，采用Newmark-Beta算法求解ODE。通过将我们的结果与使用FEM-Abaqus获得的结果进行比较，可以验证所引入方法的准确性。最后，在一些图中显示了几个参数对TMD性能的影响。