Surface and internal waves due to a moving load on a very large floating structure. (English) Zbl 1251.74020

Kakinuma, Taro; Yamashita, Kei; Nakayama, Keisuke

J. Appl. Math. 2012, Article ID 830530, 14 p. (2012).

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:

74J15	Surface waves in solid mechanics
74F10	Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76B15	Water waves, gravity waves; dispersion and scattering, nonlinear interaction
74K20	Plates

Keywords:

surface/internal water waves; floating platform

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