Analytical formulae for predicting the surf-riding threshold for a ship in following seas

作者：Maki Atsuo; Umeda Naoya^*; Renilson Martin; Ueta Tetsushi

来源：Journal of Marine Science and Technology (Japan), 2010, 15(3): 218-229.

DOI：10.1007/s00773-010-0085-y

• Analytical formulae
• Surf-riding threshold
• Heteroclinic bifurcation
• IMO vulnerability criteria
• Following seas

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.

• 出版日期2010-9