Graduate Thesis Or Dissertation
 

A nonlinear dynamic analysis of inextensible mooring lines

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  • For over a hundred years, analysts have been concerned with the static and dynamic behavior of flexible cables. Hanging, towing and mooring cables have been extensively examined but little work has been done in the area of the anchor deployment problem. In the anchor deployment problem, a mooring line is attached to a buoy and the buoy is set in the water. The buoy is allowed to drift down current, playing out cable from a reel on board a ship. When the line is played out, the anchor is attached to the free end and cast overboard. The author has derived the equations of motion governing a steel cable for the anchor deployment problem using Lagrange's method. A lumped parameter model was used and the cable was considered inextensible. Nonlinear hydrodynamic drag and added mass effects were considered. A computer program was written in Fortran to solve the equations. A numerical integration scheme was used and did not require iterating for a solution. Results were obtained for selected cases. The results seem to indicate that the maximum tension to be expected in the cable during deployment will probably not exceed twice the weight of the cable and anchor in water.
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