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Surface and internal waves due to a moving load on a very large floating structure. (English) Zbl 1251.74020
Summary: Interaction of surface/internal water waves with a floating platform is discussed with nonlinearity of fluid motion and flexibility of oscillating structure. The set of governing equations based on a variational principle is applied to a one- or two-layer fluid interacting with a horizontally very large and elastic thin plate floating on the water surface. Calculation results of surface displacements are compared with the existing experimental data, where a tsunami, in terms of a solitary wave, propagates across one-layer water with a floating thin plate. We also simulate surface and internal waves due to a point load, such as an airplane, moving on a very large floating structure in shallow water. The wave height of the surface or internal mode is amplified when the velocity of moving point load is equal to the surface- or internal-mode celerity, respectively.
MSC:
74J15Surface waves (solid mechanics)
74F10Fluid-solid interactions
76B15Water waves, gravity waves; dispersion and scattering, nonlinear interaction
74K20Plates (solid mechanics)