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On the Formulation of Three-Dimensional Inverse Catenary for Embedded Mooring Line Modeling

M.A.L. Martins1, E.N. Lages1
Scientific Computing and Visualization Laboratory, Technology Center, Federal University of Alagoas, Campus A. C. Simões - Av. Lourival de Melo Mota, s/n, Tabuleiro do Martins - Maceió/AL, Brazil. E-mail: {micheleagra, enl}

Computer Modeling in Engineering & Sciences 2014, 102(6), 449-474.


Embedded anchors have been widely used in offshore operations, and they are known to be effective and economical solutions to anchoring problems. Aiming at contributing to the definition and understanding of the embedded mooring line behavior, this paper expands the formulation adopted at DNV Recommended Practices, for two-dimensional modeling of the interaction between the seabed and the anchor line, to three-dimensional analysis. The formulation here presented, within an elegant differential geometry approach, can now model even out of plane lines. A reference problem is then defined and solved using the obtained governing equations. Corresponding equations are implemented and solved numerically in MATLAB® environment. Numerical results are also presented and discussed.


Inverse catenary, Three-dimensional modeling, Embedded anchors.

Cite This Article

Martins, M., Lages, E. (2014). On the Formulation of Three-Dimensional Inverse Catenary for Embedded Mooring Line Modeling. CMES-Computer Modeling in Engineering & Sciences, 102(6), 449–474.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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