Analytical modeling of flexible circular submerged mound motion in gravity waves

Submerged flexible mounds are designed to reduce the incident waves' energy based on their motion, allowing for greater movements by attaching at one side to the bottom. In the present approach, an approximate analytical solution is proposed based on the Fourier transform and Hamilton's principle to investigate the structural displacements of a submerged mound in waves. Experimental data and image processing techniques are employed to verify the analytical results. Validation is performed using experimental data with different wave heights and finite water depths. Comparison with the available experimental data suggests that the proposed approximate analytical model is an appropriate tool to predict the structural movements accurately.