Horizontal Slow Oscillation of a Moored Tanker and Numerical Method of Hopf-Bifurcation  

作　　者：Chen, Shaohua  Sun, Mingguang 

机构地区：[1] Zhongshan Univ, Guangzhou, China

出　　处：《China Ocean Engineering》1993年第4期383-400,共18页中国海洋工程（英文版）

基　　金：National Science Foundation of China

摘　　要：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.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.

关 键 词：Degrees of freedom (mechanics) Eigenvalues and eigenfunctions Mathematical models Matrix algebra Numerical methods Oscillations System stability Tankers (ships) 

分 类 号：P7[天文地球—海洋科学]