Bifurcation analysis of da nonlinear coupled pitch-roll ship

被引：31
|
作者：
Kamel, M. M. [1 ]
机构：
[1] Fac Elect Engn, Dept Engn Math, Menoufia 32952, Egypt
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2007年 / 73卷 / 05期
关键词：
nonlinear system; periodic solution; bifurcation; stability; chaos;
D O I：
10.1016/j.matcom.2006.04.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The response of a two-degree-of-freedom system with quadratic coupling under a modulated amplitude sinusoidal excitation is studied and solved. The method of multiple scale perturbation technique is applied to obtain the bifurcation response equation near the combination resonance case in the presence of internal resonance of this system. The main attention is focused on the stability of the periodic solution and dynamical properties of local bifurcations of this system. The numerical solution and the effects of some parameters on the vibrating system are investigated and reported in this paper. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：300 / 308
页数：9
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