Matteo Capaldo | Searcharxiv

arXiv2025

Increasing dynamic range of NESs by using geometric nonlinear damping

The paper deals with the passive control of resonant systems using nonlinear energy sink (NES). The objective is to highlight the benefits of adding nonlinear geometrical damping in addition to the cubic stiffness nonlinearity. The behaviour of the system is investigated theoretically by using the mixed harmonic balance multiple scales method. Based on the obtained slow flow equations, a design procedure that maximizes the dynamic range of the NES is presented. Singularity theory is used to express conditions for the birth of detached resonance cure independently of the forcing frequency. It is shown that the presence of a detached resonance curve is not necessarily detrimental to the performance of the NES. Moreover, the detached resonance curve can be completely suppressed by adding nonlinear damping. The results of the design procedure are then compared to numerical simulations.

physics.class-ph↗

arXiv2022

Damping analysis of Floating Offshore Wind Turbine (FOWT): a new control strategy reducing the platform vibrations

In this paper, the coupled dynamics of the floating platform and the WTG rotor is analysed. In particular, the damping is explicitly derived from the coupled equations of rotor and floating platform. The analysis of the damping leads to the study of the instability phenomena and it derives the explicit conditions that lead to the Non Minimum Phase Zero (NMPZ). Two NMPZs, one related to the rotor dynamics and the other one to the platform pitch dynamics, are analysed. The latter is a novelty and it is analysed in this work, providing the community of an explicit condition for its verification. The domain of the instability of the platform is explicitly derived from the coupled system of equations. In the second part of the paper, from the analysis of the damping of the floating platform, a new strategy for the control of FOWTs is proposed. This strategy allows one to impose to the controller an explicit level of damping in the platform pitch motion without changing the period of platform pitching. Finally the new strategy is compared to the one without compensation by performing aero-hydro-servo-elastic numerical simulations of the UMaine IEA15MW FOWT. Generated power, movements, blade pitch and tower base fatigue are compared showing that the new control strategy can reduce fatigue in the structure without affecting the power production.

eess.SY↗