# Motion response prediction by hybrid panel-stick models for a semi-submersible with bracings

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## Abstract

A diffraction-radiation analysis is usually required when the hydrodynamic interactions between structural members occur in short waves. For bracings or small cylindrical members, which play important roles in the vicinity of the natural frequency of a floating platform, special care should be taken into account for the effect of viscous damping. Two hybrid panel-stick models are, therefore, developed, through the combination of the standard diffraction-radiation method and the Morison’s formulae, considering the effect of small members differently. The fluid velocity is obtained directly by the panel model. The viscous fluid force is calculated for individual members by the stick model. A semi-submersible type platform with a number of fine cylindrical structures, which is designed as a floating foundation for multiple wind turbines, is analyzed as a numerical example. The results show that viscous force has significant influence on the hydrodynamic behavior of the floating body and can successfully be considered by the proposed hybrid models.

## Keywords

Floating offshore wind turbine Semi-submersible Potential theory## Notes

### Acknowledgments

This research is supported in part by Grants-in-Aid for Scientific Research (B), MEXT (no. 15H04215). We would like to thank ClassNK (Nippon Kaiji Kyoukai), Oshima Shipbuilding Co. Ltd., Shin Kurushima Dockyard Co. Ltd., and Tsuneishi Holdings Corp. for funding this study and for permission to publish this paper. The first author gratefully acknowledges the financial support provided by the MEXT Scholarship (Grant no. 123471) from Japanese Government during the three-year Ph.D. research.

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