Hopf bifurcation analysis of typical sections with structural nonlinearities in transonic flow

Hopf bifurcation analysis of typical sections with structural nonlinearities in transonic flow

Author Camilo, Elizangela Autor UNIFESP Google Scholar
Marques, Flavio D. Google Scholar
Azevedo, Joao Luiz F. Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Universidade de São Paulo (USP)
Inst Aeronaut & Espaco
Abstract The paper is concerned with direct aeroelastic bifurcation analyses of an airfoil system in which both aerodynamic and structural nonlinearities are considered. Here, structural dynamics is treated in terms of polynomial nonlinearities associated with the pitching stiffness. Two CFD tools are employed in the present work and they are based on the Euler formulation. for Hopf bifurcation analysis, a structured grid CFD code is used and flutter boundaries are found with the inverse power method. Previous work has demonstrated the applicability of such approach for both airfoil and wing configurations with a linear structural model. the novelty of the present effort is the use of this procedure for the investigation of the aeroelastic behavior with structural nonlinearities. Time-marching aeroelastic analysis is also performed and compared with direct calculation of Hopf bifurcation points in order to verify the approach. in the time-marching case, a CFD code solves the flowfield using an unstructured computational domain discretization. the results shown in the present paper are particularly concentrated in the investigation of flutter boundaries and typical limit cycle oscillation nonlinear effects for high-subsonic and transonic flows over a NACA 0012 airfoil-based typical section. the investigation reveals interesting nonlinear dynamics when both aerodynamic and structural nonlinearities interact. (C) 2013 Elsevier Masson SAS. All rights reserved.
Keywords Hopf bifurcation
Nonlinear systems
Aeroelasticity
Inverse power method
Transonic aeroelasticity
Language English
Sponsor Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Grant number CNPq: 312064/2006-3
CNPq: 471592/2011-0
FAPESP: 2004/16064-9
FAPESP: 2013/07375-0
Date 2013-10-01
Published in Aerospace Science and Technology. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 30, n. 1, p. 163-174, 2013.
ISSN 1270-9638 (Sherpa/Romeo, impact factor)
Publisher Elsevier B.V.
Extent 163-174
Origin http://dx.doi.org/10.1016/j.ast.2013.07.013
Access rights Closed access
Type Article
Web of Science ID WOS:000326361900017
URI http://repositorio.unifesp.br/handle/11600/36807

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