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
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