Time series analysis and identification of a nonlinear aeroelastic section

R. M.G. Vasconcellos, F. D. Marques, M. R. Hajj

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The application of time series analysis techniques for the analysis of simulated and experimental non-linear aeroelastic responses of an airfoil with freeplay nonlinearity is presented in this work. Two elements typical section dynamics and a lumped vortex method for unsteady potential aerodynamics are considered to provide simulated aeroelastic data. Concentrated freeplay nonlinearity is adopted to describe the restoring structural moment at torsion hinge, thereby allowing the introduction of complex behavior. An experimental apparatus of a typical section with freeplay for wind tunnel tests gives the experimental database for non-linear time series analysis. Tests for stationarity and the Surrogate data test are followed by state space reconstruction through Method of Delays for simulated time series and Singular Value Decomposition method (SVD) for experimental time series. Reconstructed state spaces are then used in qualitative analysis of attractors evolution due to parametric variation concerned aeroelastic behavior. Lyapunov exponent calculation is proceeded, in order to search for chaos. Poincaré maps and Higher-Order Spectra analysis are used to infer about characterization of freeplay nonlinearity. This work results can also show how potentially useful are the application of time series analysis tools to the analysis of complex aeroelastic systems. Overall results reveal complex system dynamics, Poincaré mappings suggest possible bifurcations and Limit Cycle Oscillations, reinforced by the attainment of maximum Lyapunov exponents. Higher-Order analysis gives some traces about freeplay nonlinearity characterization.

Original languageEnglish
Title of host publication51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - 2010
Event51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference - Orlando, FL, United States
Duration: 12 Apr 201015 Apr 2010

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
ISSN (Print)0273-4508

Conference

Conference51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Country/TerritoryUnited States
CityOrlando, FL
Period12/04/1015/04/10

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