Abstract
A three-dimensional mathematical hydrodynamic model associated with surface wave radiation by a floating rectangular box-type structure due to heave, sway, and roll motions in finite water depth is investigated based on small amplitude water wave theory and linear structural response. The analytical expressions for the radiation potentials, wave forces, and hydrodynamic coefficients are presented based on matched eigenfunction expansion method (MEFEM). The correctness of the analytical results of wave forces is compared with the construction of a numerical model using the open-source boundary element method code NEMOH. In addition, the present result is compared with the existing published experimental results available in the literature. The effects of the different design parameters on the floating box-type rectangular structure are studied by analyzing the vertical wave force, horizontal wave force, torque, added mass, and damping coefficients due to the heave, sway, and roll motions, and the comparison analysis between the forces is also analyzed in detail. Further, the effect of reflection and transmission coefficients by varying the structural width and drafts are analyzed.
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Funding
Funding This paper contributes to the project Hydroelastic behaviour of horizontal flexible floating structures for applications to Floating Breakwaters and Wave Energy Converters (HYDROELASTWEB), which is co-funded by the European Regional Development Fund (Fundo Europeu de Desenvolvimento Regional-FEDER) and by the Portuguese Foundation for Science and Technology (Fundação para a Ciência e a Tecnologia-FCT) under contract 031488_770 (PTDC/ECI-EGC/31488/2017). The first author was contracted as a Researcher by FCT, through Scientific Employment Stimulus, Individual support under Contract No. CEECIND/04879/2017. This work also contributes to the Strategic Research Plan of the Centre for Marine Technology and Ocean Engineering (CENTEC), which is financed by the Portuguese Foundation for Science and Technology (Fundação para a Ciência e Tecnologia-FCT) under contract UIDB/UIDP/00134/2020.
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Competing interest C. Guedes Soares is one of Editors for the Journal of Marine Science and Application and was not involved in the editorial review, or the decision to publish this article. All authors declare that there are no other competing interests.
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Article Highlights
• A mathematical hydrodynamic model of surface wave radiation by a floating rectangular box-type structure is developed in three dimensions.
• Using the MEFEM, the analytical solutions for hydrodynamic coefficients are obtained.
• The analytical results are compared with a numerical open-source boundary element method code NEMOH and existing published experimental datasets.
• The performance of the model is studied by analyzing the hydrodynamic coefficients as well as the reflection and transmission coefficients.
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Mohapatra, S.C., da Silva Bispo, I.B., Guo, Y. et al. Analysis of Wave-Induced Forces on a Floating Rectangular Box with Analytical and Numerical Approaches. J. Marine. Sci. Appl. 23, 113–126 (2024). https://doi.org/10.1007/s11804-024-00385-7
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DOI: https://doi.org/10.1007/s11804-024-00385-7