Lifting-Surface Limit-Cycle Oscillations due to Transonic Flow

Abstract

Results from flutter and forced-oscillation wind-tunnel experiments at flow conditions close to the transonic dip are presented. Flutter boundaries exhibiting a transonic dip were determined and limit-cycle oscillations (LCOs) were measured. The local energy exchange between the fluid and the structure during LCOs is examined and leads to the following findings: at supercritical Mach numbers below that of the transonic-dip minimum the presence of a shock-wave and its dynamics destabilizes the aeroelastic system such that the decreasing branch of the transonic dip develops. At higher Mach numbers the shock-wave motion has a stabilizing effect such that the flutter boundary increases to higher flutter-speed indices with increasing Mach number. Amplified oscillations near this branch of the flutter boundary obtain energy from the flow mainly due to the dynamics of a trailing-edge flow separation. A slight nonlinear amplitude dependency of the shock motion and a possibly occurring boundary-layer separation cause the amplitude limitation of the observed LCOs. The impact of the experimental findings at Reynolds-numbers of about 1.5 Mio. on the numerical simulation of these phenomena, and on future research at flight-relevant Reynolds-numbers is discussed.