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Analytical formulae for predicting the surf-riding threshold for a ship in following seas
journal contribution
posted on 2023-05-17, 04:27 authored by Maki, A, Umeda, N, Martin RenilsonMartin Renilson, Ueta, TMaking 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.
History
Publication title
Journal of Marine Science and TechnologyVolume
15Pagination
218-229ISSN
0948-4280Department/School
Australian Maritime CollegePublisher
Springer-Verlag TokyoPlace of publication
3-3-13, Hongo, Bunkyo-Ku, Tokyo, Japan, 113-0033Rights statement
The final publication is available at http://www.springerlink.comRepository Status
- Restricted