Beyond the Facsimile: Early English Books Online (EEBO) and the Text Creation PartnershipSlow Motion Dynamics of Mooring Systems in Deep Water with Buoy Supported Catenary Lines

Abstract

The mathematical model for the horizontal plane slow motion dynamics of mooring systems with catenary chains supported by buoys is developed. Buoys are attached to a mooring line to help support part of the chain weight, thus avoiding excessive vertical forces exerted on the line and on the moored vessel. Each mooring line consists of two or more segments with a buoy attached to each connection point. The first segment is anchored to the sea bed, and part of it, of variable length, is in contact with the sea bed modeling touchdown effects. The ensuing system results in a model for mooring in deep and waters. The mathematical model consists of three equations of motion in the horizontal plane - surge, sway, and yaw - for the slow motion dynamics of the vessel, and three equations of motion in surge, sway and heave for each of the buoys in the system. External excitation consists of time independent current, steady wind, and second order mean drift forces.