×

Regular and chaotic vibrations of an airfoil in supersonic flow. (English) Zbl 0963.76548

Summary: An airfoil in supersonic flow, having deformable nonlinear supports, is an aeroelastic system for which various types of bifurcation and regular or chaotic motions can appear. The airfoil has two degrees of freedom – that is, plunge displacement and angle of pitch displacement. The stiffness force and moment for those motions are assumed to be nonlinear ones. The airfoil is subjected to the pressure difference produced by its motion in supersonic flow. Types of bifurcation occurring in the system, limit cycles of self-excited vibrations and regions of regular or chaotic motions have been investigated. The effect of some parameters of the system on the course of nonlinear vibrations has been studied.

MSC:

76J20 Supersonic flows
76G25 General aerodynamics and subsonic flows
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
PDFBibTeX XMLCite