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
相关论文
共 50 条
  • [21] Nonlinear viscoelastic heated panel flutter with aerodynamic loading exerted on both surfaces
    Wang, Xiaochen
    Yang, Zhichun
    Wang, Wei
    Tian, Wei
    JOURNAL OF SOUND AND VIBRATION, 2017, 409 : 306 - 317
  • [22] Stochastic Analysis of a Nonlinear Forced Panel in Subsonic Flow With Random Pressure Fluctuations
    Li, Peng
    Yang, Yiren
    Xu, Wei
    Chen, Guo
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2013, 80 (04):
  • [23] Nonlinear aeroelastic behavior of a two-dimensional heated panel by irregular shock reflection considering viscoelastic damping
    He, Yiwen
    Shi, Aiming
    Dowell, Earl H.
    Zhou, Shengxi
    JOURNAL OF FLUIDS AND STRUCTURES, 2025, 132
  • [24] Nonlinear dynamics of extensible viscoelastic cantilevered pipes conveying pulsatile flow with an end nozzle
    Askarian, A. R.
    Haddadpour, H.
    Firouz-Abadi, R. D.
    Abtahi, H.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2017, 91 : 22 - 35
  • [25] Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink
    Asadigorji, Hassan
    Mohammadi, Ardeshir Karami
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (06) : 2425 - 2446
  • [26] Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading
    Asgari, Mojtaba
    Permoon, Mohammad Reza
    Haddadpour, Hassan
    MECCANICA, 2017, 52 (07) : 1495 - 1502
  • [27] Stability analysis of a fractional viscoelastic plate strip in supersonic flow under axial loading
    Mojtaba Asgari
    Mohammad Reza Permoon
    Hassan Haddadpour
    Meccanica, 2017, 52 : 1495 - 1502
  • [28] Bifurcations and instabilities in sliding Couette flow
    Deguchi, K.
    Nagata, M.
    JOURNAL OF FLUID MECHANICS, 2011, 678 : 156 - 178
  • [29] Bifurcations and Exact Solutions in a Nonlinear Wave Equation
    Li, Zongguang
    Liu, Rui
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (07):
  • [30] Bifurcations in nonlinear integral models of biological systems
    Hritonenko, N.
    Yatsenko, Yuri
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (05) : 389 - 399
12345