Stiffness-proportional foundation damping to linearise soil-monopile interaction models for wind turbines

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Tombari, Alessandro and Rostami, Rohollah and Mackay, Edward and El Naggar, M.H. (2025) Stiffness-proportional foundation damping to linearise soil-monopile interaction models for wind turbines. Soil Dynamics and Earthquake Engineering, 195. 109387. ISSN 0267-7261 (https://doi.org/10.1016/j.soildyn.2025.109387)

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Abstract

The structural design of offshore wind turbines must account for numerous design load cases to capture various scenarios, including power production, parked conditions, and emergency or fault conditions under different environmental conditions. Given the stochastic nature of these external actions, deterministic analyses using characteristic values and safety factors, or Monte Carlo Simulations, are necessary. This process involves a large number of simulations, ranging from ten to a hundred thousand, to achieve a reliable and optimal structural design. To reduce computational complexity, practitioners can employ low-fidelity models where the soil-foundation system is either neglected or simplified using linear elastic models. However, medium to large cyclic soil-pile lateral displacements can induce soil hysteretic behaviour, potentially mitigating structural and foundation vibrations. A practical solution at the preliminary design stage entails using stiffness-proportional viscous damping to capture the damping generated by the soil-pile hysteresis. This paper investigates the efficacy of this simplified approach for the IEA 15 MW reference wind turbine on a large-diameter monopile foundation subjected to several operational and extreme wind speeds. The soil-pile interaction system is modelled through lateral and rotational springs in which a constant stiffness-proportional damping model is applied. The results indicate that the foundation damping generated by the nonlinear soil-pile interaction is significant and cannot be neglected. When fast analyses are required, the stiffness-proportional viscous damping model can be reasonably used to approximate the structural response of the wind turbine. This approach enhanced the accuracy of the computed responses, including the maximum bending moment at the mudline for ultimate limit design and damage equivalent loads for fatigue analysis, in comparison to methods that disregard foundation damping.

ORCID iDs

Tombari, Alessandro, Rostami, Rohollah ORCID logoORCID: https://orcid.org/0000-0003-3477-9182, Mackay, Edward and El Naggar, M.H.;
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