This paper presents an optimal design procedure for a pendulum tuned mass damper (PTMD) to mitigate the global structural vibrations of offshore wind turbines (OWTs) in the fore–aft and side–side directions. The procedure is tested to the design of a PTMD to be applied to the 5‐MW benchmark baseline monopile wind turbine proposed by the National Renewable Energy Lab (NREL). The computation of wind and wave spectra, as well as the evaluation of the hydrodynamic and aerodynamic loads, is conducted by using an in‐house built MATLAB® routine working together with an ANSYS® 3‐D finite element (FE) global model for evaluating the resultant peak displacement response at the OWT hub by a power spectral density (PSD) analysis. In order to validate the OWT FEM model, a result comparison is made with the NREL OpenFAST, finding good matches between the two codes. An in‐house built genetic algorithm (GA) toolbox, coded in MATLAB®, is then used to optimally design the parameters of a PTMD with a simplified 2‐degrees‐of‐freedom (2DOF) model. The chosen GA fitness function targets the minimization of the peak response of the primary structure as evaluated by the 2DOF model. The design parameters of the PTMD are the flexural rigidity and damping, the mass ratio and pendulum length. After the 3‐D FE model of the OWT without any control device has been validated, and the PTMD has been optimized by the simplified 2DOF model, the performances of the PTMD are examined on a 3‐D global FE OWT + PTMD model in ANSYS®.

中文翻译：

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海上风力发电机整体振动控制的被动自适应摆调质量阻尼器的优化设计

本文提出了一种摆式质量阻尼器（PTMD）的最佳设计程序，以减轻海上风机（OWT）在前后和左右方向上的整体结构振动。该程序经过PTMD设计的测试，该设计将应用于国家可再生能源实验室（NREL）提出的5 MW基准基线单桩风力涡轮机。通过使用内部构建的MATLAB®例程以及ANSYS®3-D有限元（FE）全局模型进行评估，可进行风和波谱的计算以及流体动力和空气动力负荷的评估通过功率谱密度（PSD）分析在OWT枢纽处得到的峰值位移响应。为了验证OWT FEM模型，将结果与NREL OpenFAST进行了比较，在两个代码之间找到良好的匹配。然后使用MATLAB®编码的内部遗传算法（GA）工具箱，通过简化的2自由度（2DOF）模型来优化设计PTMD的参数。所选的GA适应度函数的目标是将2DOF模型评估的一级结构的峰响应降到最低。PTMD的设计参数是抗弯刚度和阻尼，质量比和摆长度。在验证了不带任何控制装置的OWT的3-FE模型后，通过简化的2DOF模型对PTMD进行了优化，然后在ANSYS中的3-D全局FE OWT + PTMD模型上检查了PTMD的性能。 ®。然后使用简化的2自由度（2DOF）模型来优化PTMD的参数设计。所选的GA适应度函数的目标是将2DOF模型评估的一级结构的峰响应降到最低。PTMD的设计参数是抗弯刚度和阻尼，质量比和摆长度。在验证了不带任何控制装置的OWT的3-FE模型后，通过简化的2DOF模型对PTMD进行了优化，然后在ANSYS中的3-D全局FE OWT + PTMD模型上检查了PTMD的性能。 ®。然后使用简化的2自由度（2DOF）模型来优化PTMD的参数设计。所选的GA适应度函数的目标是将2DOF模型评估的一级结构的峰响应降到最低。PTMD的设计参数是抗弯刚度和阻尼，质量比和摆长度。在验证了不带任何控制装置的OWT的3-FE模型后，通过简化的2DOF模型对PTMD进行了优化，然后在ANSYS中的3-D全局FE OWT + PTMD模型上检查了PTMD的性能。 ®。