Uncertainty Importance Measure by Fast Fourier Transform for Wing Transonic Flutter

Abstract

importance measure of basic random variable on the probability distribution of response and the importance measure of basic random variable on the failure probability) are solved by use of the fast Fourier transform technique. For the two-dimensional aircraft wing transonic flutter problem, reduced order modeling method on computational fluid dynamics is used to construct the aerodynamic state equations. Coupling structural state equations with aerodynamic state equations, the state equations of aeroelasticity system can be obtained, on which thelimitstatefunctionof flutterisfoundedbyconsideringthecriticalvelocity,whichissolvedbytheeigenvalueofthe state matrix, satisfying the requirement. For the aeroelastic flutter response models of a two-dimensional wing without flap and with a flap, two importance measure indexes can quantificationally reflect the influence of the random variables on the structural response. Comparing with the importance measure results of Monte–Carlo simulation, those of fast Fourier transform are higher in efficiency with acceptable precision.

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