Dynamic characterization of an aeroelastic typical section under nonlinear energy sink passive control by using multiple scales and harmonic balance methods

Autor(es)

da Silva, Jose Augusto I. ; Sanches, Leonardo ; Marques, Flavio D.

• Tipo de documento: Artigo Científico
• Fonte: ACTA MECHANICA; v. N/A, p. 28-pg., 2023-01-03.

Resumo

Aeroelastic systems can be subjected to a self-excited behavior and experience the so-called phenomenon of flutter. Under this condition, airfoils can exhibit self-sustained oscillations. Due to structural nonlinearities, the system's response is characterized by limit cycle oscillations (LCOs). The high vibration levels can lead to fatigue and catastrophic failure, thereby justifying flutter suppression schemes. This work proposes an investigation about the bifurcation behavior induced by vibration absorbers known as Nonlinear Energy Sinks (NES) aiming to alleviate aeroelastic LCOs in pitch, plunge, and control surface typical section. Unsteady aerodynamic loads are modeled according to generalized Theodorsen and Wagner theories, represented in state space. Pitching hardening nonlinearity is included in the model. A conventional NES approach is considered, in which a pure cubic stiffness spring is adopted. A combined methodology based on multiple scales and harmonic balance perturbation methods is used to build analytical solutions to characterize the dynamics of the aeroelastic system under the influence of NES. After a numerical validation of the analytical approach, the different response regimes and respective boundaries induced by NES are characterized based on the bifurcations of the aeroelastic system. A thorough analysis of the Target Energy Transfer (TET) phenomenon is also performed, and its relationship with response types induced by NES is discovered. Lastly, a characterization of the Slow Invariant Manifold in terms of the aeroelastic critical mode and NES motion is presented, and its significant features are discussed. Parametric studies are carried out based on both bifurcation and TET analyses to access the effect of NES parameters on the aeroelastic system dynamics aiming for a future investigation by employing an optimization process in the NES design. (AU)

• Processo FAPESP: 19/05410-9 - Caracterização dinâmica de sistemas aeroelásticos na presença de múltiplas não-linearidades combinadas: Estudo numérico e validação experimental
• Beneficiário: José Augusto Ignácio da Silva
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 21/14813-0 - Análise e desenvolvimento de um procedimento de projeto sistemático para sistemas de captação de energia baseados na montagem de absorvedores não-lineares com acoplamento piezoelétrico para instabilidades aeroelásticas via método das múltiplas escalas
• Beneficiário: José Augusto Ignácio da Silva
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado