Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/74143
Title: Dynamic instability of a parametrically excited ship rolling model
Authors: Liaw, C.Y. 
Issue Date: 1993
Source: Liaw, C.Y. (1993). Dynamic instability of a parametrically excited ship rolling model. Proceedings of the Third (1993) International Offshore and Polar Engineering Conference : 640-647. ScholarBank@NUS Repository.
Abstract: This paper investigated the nonlinear interaction behavior of the heave-excited rolling of ships. The coupled heave-roll system is shown to have two coupling terms due to parametric excitation: A linear term, usually included in most roll stability analyses, which causes Mathieu's type of instability, and a quadratic term which is often ignored. the significance of including the quadratic coupling effect of heave is studied. The analytical conditions of heave-excited ship rolling are derived using the harmonic balance method. It is shown that, from the viewpoint of dynamic stability analysis, the quadratic coupling term is not a high order term and should be included in the governing equation of motion. the parametrically excited heave-roll behavior should be modelled by a Hill's equation instead of a Mathieu's equation. Comparisons of the instability regions predicted by these two models are made. The important factors affecting the instability regions are also discussed.
Source Title: Proceedings of the Third (1993) International Offshore and Polar Engineering Conference
URI: http://scholarbank.nus.edu.sg/handle/10635/74143
ISBN: 1880653087
Appears in Collections:Staff Publications

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