Local bifurcations of nonlinear viscoelastic panel in supersonic flow

被引：8
|
作者：
Zhang, Xiaohua [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Mech, Nanjing 210016, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Viscoelastic panel; Supersonic flow; Stability; Bifurcation; Normal form; NORMAL FORMS; PERTURBATION TECHNIQUE; SYMBOLIC COMPUTATION; VIBRATION ANALYSIS; AID;
D O I：
10.1016/j.cnsns.2012.12.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability and bifurcation behaviors of a two-dimensional nonlinear viscoelastic panel in supersonic flow are investigated with analytical and numerical methods. One type of critical points for the bifurcation response equations is considered, which is characterized by a pair of purely imaginary eigenvalues and a pair of complex conjugate eigenvalues having negative real part. With the aid of computer language Maple and the normal form theory, Hopf bifurcation solution of the model is investigated. Finally, numerical simulations are shown, which agree with the theoretical analytical results. (C) 2012 Elsevier B. V. All rights reserved.
引用
收藏
页码：1931 / 1938
页数：8
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