ISSN:
1437-8213
Keywords:
Key words: capsizing
;
broaching
;
surf-riding
;
heteroclinic bifurcation
;
following seas
;
quartering seas
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Technology
Notes:
Abstract: To provide a theoretical methodology to predict the critical condition for capsizing due to broaching, a nonlinear dynamical system approach was applied to the surge–sway–yaw–roll motion of a ship running with an autopilot in following and quartering seas. Fixed points of a mathematical model for the ship motion and unstable manifolds of the fixed point near the wave crest were systematically investigated. As a result, the existence of heteroclinic bifurcation was identified. With numerical experiments, it was confirmed that this heteroclinic bifurcation reasonably well represents the critical condition for capsizing due to broaching. Thus the nonlinear dynamical approach can be substituted for tedious numerical experiments.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s007730050003
