Large-scale floating photovoltaic systems on water surfaces have the characteristics of large horizontal area and low vertical flexural rigidity.Under the action of offshore waves,the hydroelastic motion response of the flexible floating photovoltaic system is relatively large.Considering the characteristics of the flexible floating photovoltaic structures,a second-order nonlinear wave-flexible floating photovoltaic coupled action frequency domain numerical model is established,and the decoupling of structural motion and fluid action is realized based on the modal expansion method.Among them,the hydroelastic motion response of the flexible floating photovoltaic structure is simulated using the classic Euler-Bernoulli beam vibration equation,and the fluid domain is established using the two-dimensional Rankine source and the mirror image about the seabed as the Green's function to establish the boundary integral equation,and the high-order boundary element method is used to solve it.Through comparative verification,the coupled model established has good accuracy.Using this model,the structural motion response under different wave heights and structural flexural rigidity is calculated and analyzed,and it is found that the structural motion response caused by nonlinear wave forces cannot be ignored.The influence laws of wave period and structural flexural rigidity on the structural elastic deformation are also studied.The larger the wave period,the more the structural elastic deformation is dominated by the low-order mode,and the smoother the distribution of the structural motion amplitude.The smaller the structural flexural rigidity,the more high-order mode components are included in the structural elastic deformation,and the greater the fluctuation of the structural motion amplitude distribution.