Random flutter of a 2-DOF nonlinear airfoil in pitch and plunge with freeplay in pitch

DOI10.1007/s11071-009-9507-yzbMath1183.70064OpenAlexW2053165903MaRDI QIDQ2380632

Ying Tan, De-Min Zhao, QiChang Zhang

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1007/s11071-009-9507-y

zbMATH Keywords

largest Lyapunov exponentfreeplay nonlinearityP-bifurcationD-bifurcationrandom bifurcationrandom flutter

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Random vibrations in mechanics of particles and systems (70L05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items (7)

Moment Lyapunov exponent and stochastic stability of binary airfoil driven by non-Gaussian colored noise ⋮ On the \(p\)th moment stability of the binary airfoil induced by bounded noise ⋮ Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow ⋮ Stochastic dynamic analysis of nonlinear MDOF systems with chaotic motion under combined additive and multiplicative excitation ⋮ Moment Lyapunov exponent and stochastic stability for a binary airfoil driven by an ergodic real noise ⋮ Synchronization of pitch and plunge motions during intermittency route to aeroelastic flutter ⋮ On mathematical modeling of fluid-structure interactions with nonlinear effects: finite element approximations of gust response

Cites Work

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• Free vibration of fluid-filled toroidal shells
• The flutter of an airfoil with cubic structural and aerodynamic non-linearities
• Flutter analysis of an airfoil with bounded random parameters in incompressible flow via Gegenbauer polynomial approximation

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