Equivalent linearization method for the flutter system of an airfoil with multiple nonlinearities

DOI10.1016/j.cnsns.2012.06.002zbMath1426.74125OpenAlexW1972092845WikidataQ112880631 ScholiaQ112880631MaRDI QIDQ1948177

Yanyan Li

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.06.002

zbMATH Keywords

limit cycle oscillationsupercritical bifurcationsubcritical bifurcationcubic stiffness

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (5)

Insight into the intrinsic time-varying aerodynamic properties of a truss girder undergoing a flutter with subcritical Hopf bifurcation ⋮ Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations ⋮ A weighted dual criterion of the equivalent linearization method for nonlinear systems subjected to random excitation ⋮ The sliding mode control for an airfoil system driven by harmonic and colored Gaussian noise excitations ⋮ Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow

Cites Work

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• A new analytical approach to the Duffing-harmonic oscillator
• Homotopy analysis method for limit cycle flutter of airfoils
• Incremental harmonic balance method for airfoil flutter with multiple strong nonlinearities
• The secondary bifurcation of an aeroelastic airfoil motion: effect of high harmonics
• A combined equivalent linearization and averaging perturbation method for non-linear oscillator equations
• Numerical investigations of the constant and periodic motions of the human vocal cords including stability and bifurcation phenomena
• Bifurcation analysis of airfoils in incompressible flow

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