CHAOS AND DYNAMIC INSTABILITY IN THE ROLLING MOTION OF SHIPS

An analytical and digital-and analog-computer simulation investigation is conducted into the nonlinear rolling response of ships in beam, following, and head seas. The numerical results demonstrate the presence of complicated rolling responses such as competing attractors, jumps, period-multiplying bifurcations, chaos, sensitivity of response to initial conditions, and capsizing. A combination of Floquet theory and second-order perturbation expansions is used to predict (a) the loss of symmetry of periodic responses of unbiased ships and the occurrence of period-multiplying bifurcations as precursors to chaotic motions and capsizing, and (b) the occurrence of saddle-node bifurcations, which may be precursors for capsizing.

• Supplemental Notes:
  • Conference paper
• Authors:
  • Nayfeh, A H
  • SANCHEZ, N E
• Conference:
  • Symposium on Naval Hydrodynamics, 17th
  • Location: The Hague, Netherlands
  • Date: 1988-8-29 to 1988-9-2
• Publication Date: 0

Media Info

• Features: References;
• Pagination: 15p., incl. discuss.

Subject/Index Terms

• TRT Terms: Capsizing; Nonlinear systems; Rolling; Simulation
• Uncontrolled Terms: Nonlinearity
• Subject Areas: Marine Transportation; Safety and Human Factors;

Filing Info

• Accession Number: 00659580
• Record Type: Publication
• Source Agency: Maritime Technical Information Facility
• Files: TRIS
• Created Date: Jul 21 1994 12:00AM