Analytical formulae for predicting the surf-riding threshold for a ship in following seas
Analytical formulae for predicting the surf-riding threshold for a ship in following seas
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DOI：
10.1007/s00773-010-0085-y
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发表时间：
2010-03
影响因子：
2.6
通讯作者：
A. Maki;N. Umeda;M. Renilson;T. Ueta
中科院分区：
文献类型：
--
作者：
A. Maki;N. Umeda;M. Renilson;T. Ueta
利用梅尔尼科夫方法，导出了预测冲浪门槛的一般公式，作为Kan和Spyrou的应用推广。根据非线性动力系统理论，提出了计算随浪船舶冲浪门槛的新解析式。通过对波浪力进行连续分段线性逼近，用一个解耦的涌浪方程解析地得到了异宿分岔点。给出了用这些公式计算的结果，与用数值分叉分析得到的结果吻合得很好。此外，还证实了利用所提出的公式得到的冲浪阈值与非常规船舶的实验结果吻合得相当好。
Making use of Melnikov’s method, a generalized formula for predicting the surf-riding threshold is developed as an extension to the applications of Kan and Spyrou. A new analytical formula for calculating the surf-riding threshold of a ship in following seas is also proposed in light of nonlinear dynamical system theory. By applying a continuous piecewise linear approximation to the wave-induced surge force, a heteroclinic bifurcation point is obtained analytically with an uncoupled surge equation. Results calculated using these formulae are presented, and they show good agreement with those obtained utilizing numerical bifurcation analysis. Further, it was confirmed that the surf-riding threshold obtained using the proposed formulae agrees reasonably well with that obtained experimentally for an unconventional vessel.