Determination of the aeroelastic transfer functions for streamlined bodies by means of a Navier–Stokes solver

Evaluation of Reynolds number effects on flutter derivatives of a flat plate by means of a computational approach

“…2nd Dx 2 =3ðq 3 f=qx 3 Þ Dispersive functions and the evaluation of the effect of the ramp-time extension on the harmonic content of the function itself can be found in Fransos and Bruno (2006). In the indicial approach, the Heaviside or step-wise function is traditionally chosen as the input function iðtÞ because the output function oðtÞ is the indicial response function itself.…”

“…In the following, the approach firstly proposed in Fransos and Bruno (2006) to easily recover the 2-D flutter derivatives from the time histories of the body motion and of the acting forces obtained by computational simulation is recalled. Let us consider the expression of the aeroelastic forces arising on an oscillating rigid body immersed in a 2-D wind field given by the model of Scanlan and Tomko, reported in Simiu and Scanlan (1996):…”

“…Furthermore, a smoothed-ramp motion of the section during afinite time is proposed in order to overcome the computational problems involved by the step-wise displacement and the infinite velocity of the structure. In a previous work, Fransos and Bruno (2006) extended and adapted the abovementioned approach to the numerical calculation of the transfer functions expressed in terms of flutter derivatives. The proposed approach has been applied to a thick flat plate immersed in an incoming smooth viscous flow at null mean incidence and at high Reynolds number ðRe ¼ 10 4 Þ.…”

Stochastic aerodynamics and aeroelasticity of a flat plate via generalised Polynomial Chaos

“…The gain, in terms of the required CPU time, can be observed in Fig. 15, which shows a comparison between the computational costs related to the harmonic oscillations and the smoothed ramp methods (Fransos and Bruno, 2006). The cost of the harmonic oscillation method refers to the classical 6-point sampling of the reduced velocity interval.…”

“…In this paper, the flat plate flutter derivatives are evaluated through the quasi-indicial approach introduced by Fransos and Bruno (2006). The unsteady flow-field around the flat plate, subject to a smoothed ramp motion, is numerically computed and the unsteady forces acting on the plate itself are obtained.…”