Parametric Rolling

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Encyclopedia of Ocean Engineering
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Synonyms

Low cycle resonance; Parametric roll resonance; Parametrically excited roll

Definition

Parametric rolling is a dynamic stability phenomenon in which an amplification of roll motion is caused by periodic variation of transverse stability in waves. The phenomenon of parametric rolling is predominantly observed in head, following, bow, and stern-quartering seas when the ship’s encounter frequency is approximately twice that of the ship’s roll natural frequency and the ship’s roll dam** is insufficient to dissipate additional energy (SDC 3/WP.5/Annex 4,2016).

Figures 1 and 2shows the process by which parametric rolling develops. If the ship rolls while in the wave trough, increased stability provides stronger pushback, or restoring moment. As the ship returns to the upright position, its roll motion rate is increased, since there was an additional pushback from the increased stability. At that time, however, the ship will roll further to the opposite side because of the...

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Gu, M., Lu, J., Bu, S., Chu, J., Zeng, K., Wang, T. (2022). Parametric Rolling. In: Cui, W., Fu, S., Hu, Z. (eds) Encyclopedia of Ocean Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-6946-8_347

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