Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system

被引:11
|
作者
Kalmar-Nagy, Tamas [1 ]
Csikja, Rudolf [2 ]
Elgohary, Tarek A. [3 ]
机构
[1] Budapest Univ Technol & Econ, Fac Mech Engn, Dept Fluid Mech, Budapest, Hungary
[2] Budapest Univ Technol & Econ, Math Inst, Fac Nat Sci, Budapest, Hungary
[3] Texas A&M Univ, Dept Aerosp Engn, College Stn, TX 77843 USA
基金
匈牙利科学研究基金会;
关键词
Aeroelasticity; Piecewise linear system; Limit cycle oscillation; Bifurcation; Hybrid system; Chaos; HYSTERETIC ELASTOPLASTIC OSCILLATOR; CHAOTIC BEHAVIOR; DYNAMIC BEHAVIOR; BIFURCATION; FLUTTER;
D O I
10.1007/s11071-016-2719-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We study the dynamics of a two- degree-of-freedom (pitch and plunge) aeroelastic system where the aerodynamic forces are modeled as a piecewise linear function of the effective angle of attack. Stability and bifurcations of equilibria are analyzed. We find border collision and rapid bifurcations. Bifurcation diagrams of the system were calculated utilizing MATCONT and Mathematica. Chaotic behavior with intermittent switches about the two nontrivial equilibria was also observed.
引用
收藏
页码:739 / 750
页数:12
相关论文
共 50 条
  • [1] Nonlinear analysis of a 2-DOF piecewise linear aeroelastic system
    Tamás Kalmár-Nagy
    Rudolf Csikja
    Tarek A. Elgohary
    [J]. Nonlinear Dynamics, 2016, 85 : 739 - 750
  • [2] NONLINEAR ANALYSIS OF A 2-DOF PIECEWISE LINEAR AEROELASTIC SYSTEM
    Elgohary, Tarek A.
    Kalmar-Nagy, Tamas
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE 2012, VOL 1, PTS A AND B, 2012, : 911 - +
  • [3] FREE AND FORCED RESPONSE OF A PIECEWISE LINEAR 2-DOF SYSTEM: ANALYSIS AND EXPERIMENTS
    Vestroni, Fabrizio
    Casini, Paolo
    Giannini, Oliviero
    [J]. PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C, 2010, : 831 - 837
  • [4] Robust Nonlinear Tracking Control of a 2-DOF Helicopter System
    Steinbusch, Aaron
    Reyhanoglu, Mahmut
    [J]. 2019 12TH ASIAN CONTROL CONFERENCE (ASCC), 2019, : 1649 - 1654
  • [5] Transient in 2-DOF Nonlinear Systems
    Mikhlin, Yuri
    Rudnyeva, Gayane
    Bunakova, Tatiana
    Perepelkin, Nikolai
    [J]. MODELING, SIMULATION AND CONTROL OF NONLINEAR ENGINEERING DYNAMICAL SYSTEMS: STATE-OF-THE-ART, PERSPECTIVES AND APPLICATIONS, 2009, : 129 - 140
  • [6] Modeling and nonlinear dynamic analysis of angular velocity system of 2-DOF aerial manipulator
    Guo, Xitong
    Niu, Pingjuan
    Qi, Guoyuan
    Li, Xia
    [J]. APPLIED MATHEMATICAL MODELLING, 2023, 124 : 216 - 240
  • [7] Nonlinear time series analysis of a three-DOF aeroelastic system
    Alighanbari, A
    [J]. 48TH ANNUAL CONFERENCE OF THE CANADIAN AERONAUTICS AND SPACE INSTITUTE, PROCEEDINGS: CANADIAN AERONAUTICS-STAYING COMPETITIVE IN GLOBAL MARKETS, 2001, : 107 - 110
  • [8] Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber
    Lelkes, Janos
    Kalmar-Nagy, Tamas
    [J]. NONLINEAR DYNAMICS, 2021, 103 (04) : 2997 - 3018
  • [9] Analysis of a piecewise linear aeroelastic system with and without tuned vibration absorber
    János Lelkes
    Tamás Kalmár-Nagy
    [J]. Nonlinear Dynamics, 2021, 103 : 2997 - 3018
  • [10] EFFECT OF STRUCTURAL NONLINEARITY ON A PIECEWISE LINEAR AEROELASTIC SYSTEM
    Lelkes, Janos
    Kalmar-Nagy, Thirds
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2019, VOL 6, 2020,