Hydroelastic behavior of a complex structure floating on waves

A numerical method is developed to solve the plane problem of the hydroelastic behavior of a complex structure floating on the surface of an ideal incompressible fluid of finite depth. The motion of the structure described by a deflection function is considered steady-state under the action of incident waves. The hydrodynamic part of the problem is solved using the proposed approach based on the normal-mode method for homogeneous plates. The problem is reduced to a system of linear algebraic equations by means of a transition matrix between representations of the required deflection in the form of expansion in the vibration eigenfunctions of the structure and the plate. It is shown that the results of the calculation performed are in good agreement with available calculation results for a two-part hinged structure at wavelengths comparable to the length of the structure.