Abstract
The present paper describes an investigation in which a complete third order mathematical model is contemplated, describing coupled nonlinear motions of a fishing vessel in heave, roll and pitch. Due to the introduction of the third order terms, the variational equation of the roll motion will not be in the form of a Mathieu equation. In fact, it is shown in the paper that the associated time-dependent equation falls in the category of a Hill equation. Considering that limits of stability are a practical and direct way of assessing the safety of a design, the paper focuses on the comparison of the limits of stability derived from second and third order models. Considering that analyticity is an important tool when handling complex stability issues, the stability limits of the corresponding Hill equation are derived and discussed. These new limits are then compared to the Mathieu-type stability limits.
| Original language | English |
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| Number of pages | 13 |
| Publication status | Published - 19 Oct 2005 |
| Event | XXVI Iberian Latin-American Congress on Computational Methods in Engineering - Gurapari, Brazil Duration: 19 Oct 2005 → 21 Oct 2005 |
Conference
| Conference | XXVI Iberian Latin-American Congress on Computational Methods in Engineering |
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| Abbreviated title | CILAMCE 2005 |
| Country/Territory | Brazil |
| City | Gurapari |
| Period | 19/10/05 → 21/10/05 |
Keywords
- parametric rolling
- ship stability
- fishing vessels