Nonlinear dynamics modeling and analysis of a marine buoy single-point mooring system

Abstract

We investigate the oscillation of a marine buoy in a single-point mooring system under the action of the marine environmental load and the work done by the mooring system gravity. In particular, a nonlinear dynamic model of the single-point marine buoy mooring system was established based on the Hamilton variational principle. The fourth-order Runge-Kutta integral method was employed to numerically solve and analyze the proposed nonlinear dynamics model. Results demonstrate that under the action of external excitation, the longitudinal displacement, velocity and acceleration of the cables within the marine buoy single-point mooring system change significantly and periodically with time. The frequency change of the three variables in the lateral is rapid yet the fluctuation range is small. This indicates the longitudinal motion pattern of the cables within the marine buoy single-point mooring system to be relatively stable under the influence of external excitation, while the lateral motion pattern of the cables is generally unstable. This work can provide important reference for future research on the safety and reliability of the entire buoy system.