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Approximate analytical response curve for a parametrically excited highly nonlinear 1-DOF system with an application to ship roll motion prediction
被引：23
|作者：
Bulian, G
[1
]
机构：
[1] Univ Trieste, Dept Naval Architecture Ocean & Environm Engn, I-34127 Trieste, Italy
关键词：
parametric excitation;
parametric roll;
bifurcations;
Mathieu;
stability;
ship safety;
nonlinear roll;
D O I：
10.1016/j.nonrwa.2004.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper presents a model for a parametrically excited nonlinear 1-DOF damped mass-spring system. An approximate analytical technique is used to obtain the general polynomial whose roots give the response of the system in frequency domain when the parametric excitation acts in the first parametric resonance region. All the details needed for the implementation of the method are given. The model is suitable for the prediction of the parametrically excited roll motion of ships in longitudinal regular waves, thus some examples of application are shown to analyse the behaviour of two different hulls. The proposed approximate frequency domain analysis is shown to be able to disclose some nonlinear features of the ship response still not well known in the field of Naval Architecture. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：725 / 748
页数：24
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