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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 6482527, 14 pages
https://doi.org/10.1155/2017/6482527
Research Article

Analysis of the Hydroelastic Performance of Very Large Floating Structures Based on Multimodules Beam Theory

1PLA University of Science and Technology, Nanjing, China
2Wuxi First Scientific Research Institute, Wuxi, China
3College of Shipbuilding Engineering, Harbin Engineering University, Heilongjiang, China
4Center for Offshore Foundation Systems, School of Civil, Environmental and Mining Engineering, University of Western Australia, Perth, WA, Australia
5State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China

Correspondence should be addressed to Da Lu; moc.qq@8813375401

Received 30 December 2016; Revised 30 March 2017; Accepted 2 May 2017; Published 24 May 2017

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2017 Jin Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The hydroelastic behavior of very large floating structures (VLFSs) is investigated based on the proposed multimodules beam theory (MBT). To carry out the analysis, the VLFS is first divided into multiple submodules that are connected through their gravity center by a spatial beam with specific stiffness. The external force exerted on the submodules includes the wave hydrodynamic force as well as the beam bending force due to the relative displacements of different submodules. The wave hydrodynamic force is computed based on three-dimensional potential theory. The beam bending force is expressed in the form of a stiffness matrix. The motion response defined at the gravity center of the submodules is solved by the multibody hydrodynamic control equations; then both the displacement and the structure bending moment of the VLFS are determined from the stiffness matrix equations. To account for the moving point mass effects, the proposed method is extended to the time domain based on impulse response function (IRF) theory. The method is verified by comparison with existing results. Detailed results through the displacement and bending moment of the VLFS are provided to show the influence of the number of the submodules and the influence of the moving point mass.