Nonlinear dynamics and flutter of plate and cavity in response to supersonic wind tunnel start

Fluid/Structural/Thermal/Dynamics Interaction (FSTDI) in Hypersonic Flow

“…An increase in LCO amplitude was measured at first, while subsequent decrease in static pressure differential caused the plate to intermittently transition between large and small amplitude response. A similar behavior was observed in the theoretical computations [46]. At the end of the set of experiments a high-cycle fatigue crack was identified near the trailing edge of the plate.…”

“…Notable experiments include a transient wind tunnel start-up where a 30 s measurement of the plate deformation showed the onset of flutter, a sporadic limit cycle oscillation, and the final stabilization of the plate which is attributed to buckling due to aerodynamic heating. In a recent theoretical computation by Freydin et al [46] a qualitative correlation with experiment was demonstrated and the stability transitions were analyzed using stability maps in the freestream static pressure versus temperature differential plane. Figure 7 shows the measured and computed displacement at 25% chord versus time during the transient, supersonic wind tunnel start where flutter starts around 5s and stops near 25s.…”

“…Fig. 8 Stability map for a static pressure differential of 3kPa and with cavity dynamic coupling [46] In another experiment, the static pressure differential was decreased by modulating the pressure inside a cavity and the freestream conditions were held constant. An increase in LCO amplitude was measured at first, while subsequent decrease in static pressure differential caused the plate to intermittently transition between large and small amplitude response.…”

“…Fig.7Experiment (red) and theory (black)-displacement versus time, computed with cavity dynamics and a scaled, uniform temperature differential 1.25 × T (t)[46] …”

Advances in stability, bifurcations and nonlinear vibrations in mechanical systems

“…A first grouping of papers deals with problems of stability and bifurcations arising in fluid/structure problems with a special emphasis on aeroelastic systems. Problems related to flutter analysis in classical or supersonic conditions [1][2][3], vortex-induced vibrations [4,5] and galloping instabilities [6,7] are thoughtfully addressed, together with more theoretical problems related to the Ziegler column [8] and the existence of global attractors in subsonic flows [9].…”