Journal of Applied Mathematics

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

Taro Kakinuma, Kei Yamashita, and Keisuke Nakayama

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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.

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

First available in Project Euclid: 14 December 2012

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Kakinuma, Taro; Yamashita, Kei; Nakayama, Keisuke. Surface and Internal Waves due to a Moving Load on a Very Large Floating Structure. J. Appl. Math. 2012 (2012), Article ID 830530, 14 pages. doi:10.1155/2012/830530.

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