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

Full-text: Open access

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.

Article information

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

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495259

Digital Object Identifier
doi:10.1155/2012/830530

Zentralblatt MATH identifier
1251.74020

Citation

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. https://projecteuclid.org/euclid.jam/1355495259


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