Polyharmonic Balance Analysis of Nonlinear Ship Roll Response

Nonlinear Dynamics

Volumn 35, Issue 2, 2004, Pages 123-146

  Jones, J C Peyton ^a   Cankaya I ^b  

^a VILLANOVA UNIVERSITY   (United States)

^b SAKARYA UNIVERSITY   (Turkey)

Author keywords

Harmonic balance; Jump resonance; Nonlinear systems; Ship roll

Indexed keywords

DAMPING; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FRICTION; HARMONIC ANALYSIS; INTEGRATION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RESONANCE; SHIPS; STIFFNESS;

HARMONIC BALANCE; JUMP RESONANCE; SHIP ROLL; SUPERHARMONIC RESONANCES;

NONLINEAR SYSTEMS;

EID: 2142708721     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:NODY.0000021033.27607.fa     Document Type: Article

References (10)

1. Feat, G. and Jones, D., 'Parametric excitation and the stability of a ship subjected to a steady heeling moment', International Shipbuilding Progress 28(327), 1981, 263-267.
2. Bass, D. W., 'On the response of biased ships in large amplitude waves', International Shipbuilding Progress 28(327), 1983, 2-9.
3. Cardo, A. and Trincas, G., 'A multiscale analysis of nonlinear rolling', Ocean Engineering 14(1), 1987, 83-88.
4. Peyton Jones, J. C. and Çankaya, I., 'Generalized harmonic analysis of nonlinear ship roll dynamics', Journal of Ship Research 40(4), 1996, 39-48.
5. Peyton Jones, J. C., 'Automatic computation of polyharmonic balance equations for nonlinear differential equations', International Journal of Control 76(4), 2003, 355-365.
6. Tomlinson, G. R., Manson, G., and Lee, G. M., 'A simple criterion for establishing an upper limit to the harmonic excitation level of the Duffing oscillator using the Volterra series', Journal of Sound and Vibration 190(5), 1996, 751-762.
7. Wright, J. H. G. and Marshfield, W. B., 'Ship roll response and capsize behavior in beam seas', Transactions of the Royal Institute of Naval Architects 122, 1980, 129-148.
8. Peyton Jones, J. C. and Çankaya, I., 'A note on the computation of maximum roll amplitudes in regular beam seas', Journal of Ship Research 41(3), 1997, 224-229.
9. Nayfeh, A. H. and Khdeir, A. A., 'Nonlinear rolling of biased ships in regular beam waves', International Shipbuilding Progress 33(381), 1986, 84-93.
10. Peyton Jones, J. C. and Çankaya, I., 'The effect of a constant heeling moment on the main and superharmonic roll response of a ship in regular beam seas', International Shipbuilding Progress 46(446), 1999, 165-187.