The stability analysis of plates and shells in high speed flow deals with the determination of the flutter instability boundary. A linear analysis is made using the basic principles of the theory of aero-elasticity of isotropic bodies, the theories of flexible plates, the stability equations and associated boundary conditions obtained through a linear formulation. Herein, the nonlinear stability of flexible plate immersed in a high speed gas flow is considered. The model takes into account quadratic and cubic aerodynamic nonlinearities as well as cubic geometric nonlinearities. It is shown that the inclusion of quadratic aerodynamic nonlinear components can lead to the appearance of “amplitudefrequency” phenomena in both the pre-critical as well as in the post-critical flow speed regimes. The influence of the free stream flow speed on the “amplitude-frequency” dependence phenomena is also presented.

The Influence of Supersonic Stream on the Dependence “Amplitude-Frequency” of Nonlinear Vibrations of Flexible Plate / Baghdasaryan, G.; Mikilyan, M.; Saghoyan, R.; Cestino, Enrico; Frulla, Giacomo. - In: SAE TECHNICAL PAPER. - ISSN 0148-7191. - ELETTRONICO. - (2013). ((Intervento presentato al convegno SAE 2013 AeroTech Congress & Exhibition tenutosi a Montreal, Canada nel September 2013 [10.4271/2013-01-2160].

The Influence of Supersonic Stream on the Dependence “Amplitude-Frequency” of Nonlinear Vibrations of Flexible Plate

CESTINO, ENRICO;FRULLA, Giacomo
2013

Abstract

The stability analysis of plates and shells in high speed flow deals with the determination of the flutter instability boundary. A linear analysis is made using the basic principles of the theory of aero-elasticity of isotropic bodies, the theories of flexible plates, the stability equations and associated boundary conditions obtained through a linear formulation. Herein, the nonlinear stability of flexible plate immersed in a high speed gas flow is considered. The model takes into account quadratic and cubic aerodynamic nonlinearities as well as cubic geometric nonlinearities. It is shown that the inclusion of quadratic aerodynamic nonlinear components can lead to the appearance of “amplitudefrequency” phenomena in both the pre-critical as well as in the post-critical flow speed regimes. The influence of the free stream flow speed on the “amplitude-frequency” dependence phenomena is also presented.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2517560
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