Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters

DOI10.1016/J.APM.2011.07.016zbMath1236.74071OpenAlexW2064667880MaRDI QIDQ2428917

Yanyan Li

Publication date: 21 April 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.07.016

zbMATH Keywords

uncertaintylimit cycle oscillationnonlinear flutterincremental harmonic balance methodstatistic

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Random vibrations in dynamical problems in solid mechanics (74H50) Multifrequency systems of ordinary differential equations (34C46)

Related Items (7)

An incremental harmonic balance-based approach for harmonic analysis of closed-loop systems with Prandtl-Ishlinskii operator ⋮ Computation of axisymmetric nonlinear low-frequency resonances of hyperelastic thin-walled cylindrical shells ⋮ Unnamed Item ⋮ Bifurcation analysis of aeroelastic systems with hysteresis by incremental harmonic balance method ⋮ Nonlinear transversely vibrating beams by the improved energy balance method and the global residue harmonic balance method ⋮ Swing equation in power systems: Approximate analytical solution and bifurcation curve estimate ⋮ The sliding mode control for an airfoil system driven by harmonic and colored Gaussian noise excitations

Cites Work

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• Homotopy analysis method for limit cycle flutter of airfoils
• Uncertainty quantification of limit-cycle oscillations
• The secondary bifurcation of an aeroelastic airfoil motion: effect of high harmonics
• Chebyshev polynomial approximation for dynamical response problem of random system
• Structural non-linearities and the nature of the classic flutter instability
• Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems
• Bifurcation analysis of airfoils in incompressible flow
• Flutter analysis of an airfoil with bounded random parameters in incompressible flow via Gegenbauer polynomial approximation
• A modern course in aeroelasticity.

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