Flutter, limit cycle oscillation, bifurcation and stability regions of an airfoil with discontinuous freeplay nonlinearity

DOI10.1007/s11071-017-3773-xzbMath1380.34050OpenAlexW2755694358MaRDI QIDQ1696908

Zahra Monfared, Z. Afsharnezhad, Javad Abolfazli Esfahani

Publication date: 15 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11071-017-3773-x

zbMATH Keywords

stabilitylimit cycle oscillationperiodic solutionflutterdiscontinuous systemairfoilgrazing bifurcationPoincaré fixed pointtangent pointtwo-fold singularity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (8)

Complex response analysis of a non-smooth oscillator under harmonic and random excitations ⋮ Lyapunov exponents for discontinuous dynamical systems of Filippov type ⋮ Eigenvalue analysis for predicting the onset of multiple subcritical limit cycles of an airfoil with a control surface ⋮ Bistability and stochastic jumps in an airfoil system with viscoelastic material property and random fluctuations ⋮ Unnamed Item ⋮ Investigating the effect of pyroptosis on the slow CD4+ T cell depletion in HIV-1 infection, by dynamical analysis of its discontinuous mathematical model ⋮ Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds ⋮ Modeling and dynamic behavior of a discontinuous tourism-based social-ecological dynamical system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of limit cycle oscillations of a typical airfoil section with freeplay
• Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Jumps of the fundamental solution matrix in discontinuous systems and applications
• Grazing bifurcation in aeroelastic systems with freeplay nonlinearity
• Continuation of the periodic orbits for the differential equation with discontinuous right hand side
• The two-fold singularity of nonsmooth flows: leading order dynamics in \(n\)-dimensions
• Bifurcation phenomena in non-smooth dynamical systems
• Analysing panel flutter in supersonic flow by Hopf bifurcation
• Discontinuity-induced bifurcations of piecewise smooth dynamical systems
• Chaotic motions of an airfoil with non-linear stiffness in incompressible flow
• Bifurcations in Nonsmooth Dynamical Systems
• Bifurcation analysis of airfoils in incompressible flow
• Generalized Hopf bifurcation for non-smooth planar systems
• One-Parameter Bifurcations in Planar Filippov Systems
• Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems
• Bifurcations in nonlinear discontinuous systems

This page was built for publication: Flutter, limit cycle oscillation, bifurcation and stability regions of an airfoil with discontinuous freeplay nonlinearity