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Surface and Internal Waves due to a Moving Load on a Very Large Floating Structure

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  • Taro Kakinuma
  • Kei Yamashita
  • Keisuke Nakayama

Abstract

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.

Suggested Citation

  • Taro Kakinuma & Kei Yamashita & Keisuke Nakayama, 2012. "Surface and Internal Waves due to a Moving Load on a Very Large Floating Structure," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, August.
  • Handle: RePEc:hin:jnljam:830530
    DOI: 10.1155/2012/830530
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