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Stability analysis of floating wind turbine structure with turned mass damper-nonlinear energy sink

The conventional tuned mass damper (TMD) has the defect of a narrow tuning band in the stability control of a floating wind turbine (FWT). In this paper, a hybrid vibration reduction method of tuned mass damper-nonlinear energy sink (TMD-NES) is proposed, which makes full use of the broadband advantage of NES and can effectively avoid its initial energy sensitivity disadvantage. A FWT dynamics model with TMD-NES was established, the complex variable average method was used to solve the dynamic response of the system, and the Runge–Kutta method is used to prove the reliability of the analytical method. The bifurcation characteristics of NES and the vibration suppression effect of TMD-NES are analyzed and discussed. The results show that the proposed method reduces the peak energy of the tower surge response by 95.3%, broadens the frequency band of vibration reduction, reduces the sensitivity to the initial energy, and improves the robustness of the system.