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Nonlinear Coupling of Unstable Ship Motions in Head Seas: Bifurcation Analysis and Erosion of Safe Basin

[+] Author Affiliations
Marcelo A. S. Neves, Jerver E. M. Vivanco, Claudio A. Rodríguez

Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

Paper No. OMAE2009-79077, pp. 63-70; 8 pages
doi:10.1115/OMAE2009-79077
From:
  • ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering
  • Volume 1: Offshore Technology
  • Honolulu, Hawaii, USA, May 31–June 5, 2009
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-4341-3 | eISBN: 978-0-7918-3844-0
  • Copyright © 2009 by ASME

abstract

Parametric rolling in head seas may lead to large roll angles in few cycles with substantial coupling of this mode with heave and pitch. The present paper investigates in depth the essential dynamical characteristics governing the complex coupling of the three modes at the first region of instability of the limits of stability. Bifurcation diagrams and Poincaré mappings are employed to investigate the appearance of intermittence, multistability and chaos associated with increased values of wave amplitude. Erosion of the safe basin of the coupled system for some sea conditions is also addressed.

Copyright © 2009 by ASME
Topics: Motion , Erosion , Bifurcation , Ships , Seas

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