Three-dimensional coupled dynamics of a buoy and multiple mooring lines: formulation and algorithm

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DOIResolve DOI: http://doi.org/10.1093/qjmam/55.2.179
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TypeArticle
Journal titleQuarterly Journal of Mechanics and Applied Mathematics
Volume55
Issue2
Pages179207; # of pages: 29
Subjectmooring; lumped mass; Kane's method; waves
AbstractThe equations of the coupled three dimensional motion of a submerged buoy and multiple mooring lines are formulated using Kane's formalism. The lines are modelled using lumped masses and tension-only springs including structural damping. Surface waves are described by Stokes' second order wave theory. The hydrodynamic loads due to viscous drag are applied via a Morison's equation approach using the instantaneous relative velocities between the fluid field and the bodies (buoy and lines). The detailed algorithm is presented and the equations are solved using a robust implementation of the Runge-Kutta method provided in MATLAB. The mathematical model and associated algorithm are validated by comparison with special cases of an elastic catenary mooring line and other published data.
Publication date
AffiliationNRC Institute for Ocean Technology; National Research Council Canada
Peer reviewedYes
IdentifierIR-2001-21
NRC number5934
NPARC number8895900
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Record identifier36cf7a0a-8a43-4982-94ee-b792dfc02f97
Record created2009-04-22
Record modified2016-05-09
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