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COBEM 2021
26th International Congress of Mechanical Engineering
Post-Flutter Analysis of a Nonlinear Aeroelastic Typical Section Based on the Method of Multiple Scales
Submission Author:
José Augusto Ignacio da Silva , SP
Co-Authors:
José Augusto Ignacio da Silva, Flavio D. Marques
Presenter: José Augusto Ignacio da Silva
doi://10.26678/ABCM.COBEM2021.COB2021-0684
Abstract
Aeroelastic systems are susceptible to nonlinear behavior. The characterization of nonlinear response in aeroelastic systems is a relevant issue. It is essential to study the stability of the aeroelastic system under the effects of structural and aerodynamic nonlinearities to improve operational aircraft flight procedures. Bifurcation analysis is a benchmark approach to study the nonlinear post-flutter phenomenon. The current work presents an investigation on the dynamic behavior of three degrees of freedom typical section with nonlinear pitching stiffness, modeled by cubic and quintic polynomial terms. The unsteady aerodynamic loads are computed using the modified unsteady Theodorsen approximation for arbitrary motions. This investigation is based on the asymptotic analysis to be constructed by the method of multiple scales (MMS) to predict the nonlinear flutter onset and values of LCO amplitudes at some post-flutter airspeeds. Analytical Solutions for hardening and softening cases are constructed separately, and numerical simulations reveal that MMS can accurately predict supercritical and sub-critical bifurcations for both scenarios.
Keywords
Aeroelastic typical section, Post-flutter, Nonlinear pitching stiffness, method of multiple scales, super-critical and sub-critical bifurcations
