Generalized harmonic analysis of nonlinear ship roll dynamics
| Author(s): | James Peyton-Jones, I. Cankaya |
|---|---|
| Year of Publication: | 1996 |
| Publisher: | Soc of Naval Architects & Marine Engineers - Jersey City, NJ |
| Journal Title: | Journal of Ship Research |
| ISSN: | 0022-4502 |
| Volume: | 40 |
| Issue: | 4 |
| Subjects: |
Ships Dynamics Harmonic analysis Nonlinear equations Damping Computer simulation Polynomials Degrees of freedom (mechanics) Time domain analysis Integrodifferential equations |
| Start Page: | 316 |
| End Page: | 325 |
| Abstract: | Algebraic expressions are presented which enable the harmonic balance equations to be written down directly in terms of the coefficients of a general nonlinear ship roll equation, without restriction on the number of harmonics considered. The rolling response is then readily computed, as illustrated by an investigation of the resonant modes of ships with angle-dependent cubic damping, or quintic terms in the righting moment. Details are also given of the validation process, showing how simulation time can be reduced by an appropriate choice of initial conditions. |
