单点系泊船舶Hopf分岔的试验研究

对单点系泊船舶的Hopf分岔现象进行了试验研究.给出了试验方法和过程;探讨了不同来流速度和系缆长度对于船舶动力学响应的影响.试验表明,船模运动呈现出典型的非线性特征,观察到了吸引子的共存,平衡点稳定性丧失和Hopf分岔现象.利用振动衰减系数计算了Hopf分岔值,与试验结果相比较,具有良好的一致性.得到了试验条件下的Hopf分岔集,指出其对于系泊系统的设计是有指导意义的.

Experimental study on Hopf bifurcation of single point mooring vessels

Experimental study on the Hopf bifurcation characteristic of single point mooring vessels is presented. The influence of different current velocities and mooring line lengths on the dynamic (res-)ponses of vessels is investigated. There is a strong nonlinear characteristic in the motion responses of ship model. The coexistence of different attractors, stability loss of equilibriums and Hopf bifurcations are observed. The possibility of predicting the onset of Hopf bifurcation by estimating the free vibration damping ratio in the active mooring responses is established. The estimates of bifurcation points are good agreement with the experimental data. The Hopf bifurcation set under the conditions of this experiment is obtained while its importance to the design of mooring systems is also indicated.