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Horizontal Slow Oscillation of a Moored Tanker and Numerical Method of Hopf-Bifurcation
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作者 Chen, Shaohua Sun, Mingguang 《China Ocean Engineering》 SCIE EI 1993年第4期383-400,共18页
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 ... 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 analyzed. In order to study the stability of the equilibrium state, the mooring-line length l 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. 展开更多
关键词 Degrees of freedom (mechanics) Eigenvalues and eigenfunctions Mathematical models Matrix algebra Numerical methods Oscillations System stability Tankers (ships)
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