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An investigation of the secondary load cycle associated with wave scattering in severe wave–cylinder interactions

Haoyu Ding, Tianning Tang, Paul H. Taylor, Thomas A. A. Adcock, Guangwei Zhao, Saishuai Dai, Thobani Hlophe, Cormac Reale, Jun Zang

2025Journal of Fluid Mechanics6 citationsDOIOpen Access PDF

Abstract

This research examines in detail the complex nonlinear forces generated when steep waves interact with vertical cylindrical structures, such as those typically used as offshore wind turbine foundations. These interactions, particularly the nonlinear wave forces associated with the secondary load cycle, present unanswered questions about how they are triggered. Our experimental campaigns underscore the occurrence of the secondary load cycle. We also investigate how the vertical distributions of the scattering force, pressure field and wave field affect the nonlinear wave forces associated with the secondary load cycle phenomena. A phase-based harmonic separation method isolates harmonic components of the scattering force’s vertical distribution, pressure field and wave field. This approach facilitates the clear separation of individual harmonics by controlling the phase of incident waves, which offers new insights into the mechanisms of the secondary load cycle. Our findings highlight the importance of complex nonlinear wave–structure interactions in this context. In certain wave regimes, nonlinear forces are locally larger than the linear forces, highlighting the need to consider the secondary load cycle in structural design. In addition, a novel discovery emerges from our comparative analysis, whereby very high-frequency (over the fifth in harmonic and order) oscillations, strongly correlated to wave steepness, have the potential to play a role in structural fatigue. This new in-depth analysis provides a unique insight regarding the complex interplay between severe waves and typical cylindrical offshore structures, adding to our understanding of the secondary load cycle for applications related to offshore wind turbine foundations.

Topics & Concepts

HarmonicsHarmonicNonlinear systemPhysicsMechanicsScatteringField (mathematics)TurbineOffshore wind powerFundamental frequencyHigh harmonic generationBreaking waveWavenumberWind waveSubmarine pipelineWave tankPhase (matter)AcousticsClassical mechanicsHarmonic analysisNear and far fieldStructural loadNonlinear acousticsWave and Wind Energy SystemsCoastal and Marine DynamicsEarthquake and Tsunami Effects
An investigation of the secondary load cycle associated with wave scattering in severe wave–cylinder interactions | Litcius