Abstract
The inclusion of cable dynamics is an important consideration in the evaluation of the dynamic station-keeping response of a moored offshore vessel. In this paper, equations of motion for a multicomponent mooring cable are derived using Lagrange's modified equation, allowing for anchor motion, if any, and then numerically solved to yield time histories for the various cable configurations that can occur. Initial conditions for the dynamic solution are furnished through the static catenary equations. From the time histories obtained, the nonlinear dynamic tension-displacement characteristics of the mooring line can be derived which would be useful in providing the restoring force terms occurring in the equations of motion of a moored offshore vessel. An example involving a typical anchoring line used on a moored production barge is examined to demonstrate the applicability of the analysis presented which should serve as a useful tool in developing mooring line restoring forces for use in offshore vessel mooring analyses.
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