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- In this paper, a six-order nonlinear dynamic model with three degrees of freedom is presented for the study of the “fishtail” motion of a Single Point Mooring System. The effect of parameter variations on the equilibrium state of the system is analized. In order to study the stability of the equilibrium state, the mooring-line length / is chosen as a bifurcation parameter, so that all eigenvalues of the Jacobian matrix under different parameters can be worked out, and then the Hopf-bifurcation point can be found . Finally, the Hopf-bifurcation periodic solution of the system is computed.
- In this paper, a six-order nonlinear dynamic model with three degrees of freedom is presented for the study of the “fishtail” motion of a Single Point Mooring System. The effect of parameter variations on the equilibrium state of the system is analized. In order to study the stability of the equilibrium state, the mooring-line length / is chosen as a bifurcation parameter, so that all eigenvalues of the Jacobian matrix under different parameters can be worked out, and then the Hopf-bifurcation point can be found. Finally, the Hopf-bifurcation periodic solution of the system is computed.