Theoretical analysis of nonlinear fluid–structure interaction between large-scale polymer offshore floating photovoltaics and waves

The present research analyzes the nonlinear fluid–structure interaction (FSI) of free surface waves with large-scale polymer offshore floating photovoltaics (LPOFPV). structure is modeled as a Euler Bernoulli–von Kármán (EBVK) beam coupling water beneath. EBVK theory takes in-plane force into consideration to account for moderately large deflection slopes in LPOFPV. A multi-time-scale perturbation method leads hierarchic partial differential equations by introducing wave steepness squared perturbation. analytical solution proposed FSI model obtained up second order. Pontoon structures and LPOFPV are studied compared. asymptotic provides expressions propagating through coupled system its frequency–amplitude dispersion relation closed-form. property that progressive plane remains linear small dimensionless amplitudes, features order correction amplitudes. Furthermore, it also theoretically proven no resonance occurs considered infinite problem. approach can be extended between Stokes waves.