Supercritical and subcritical Hopf bifurcation and limit cycle oscillations of an airfoil with cubic nonlinearity in supersonic\(\backslash\)hypersonic flow

DOI10.1007/s11071-011-0177-1zbMath1327.74056OpenAlexW2084195487MaRDI QIDQ437385

Hulun Guo, Yu-Shu Chen

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0177-1

zbMATH Keywords

Floquet theoryharmonic balance methodsingularity theory

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (8)

Stability and bifurcation for limit cycle oscillations of an airfoil with external store ⋮ Bifurcations and stability analysis for nonlinear oscillations of an airfoil ⋮ Insight into the intrinsic time-varying aerodynamic properties of a truss girder undergoing a flutter with subcritical Hopf bifurcation ⋮ Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink ⋮ Unnamed Item ⋮ Hopf bifurcation of forced Chen system and its stability via adaptive control with arbitrary parameters ⋮ Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow ⋮ Super-critical and sub-critical Hopf bifurcations in two and three dimensions

Cites Work

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• Bifurcation analysis of airfoils in incompressible flow
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