A nonlinear elastic plate in a supersonic unsteady flow forced by a dynamic excitation and a biaxial compressive load is studied. The physical behavior of the plate is modelized by the Von Kàrmàn equations and the aerodynamic loads are modeled by using the piston theory including nonlinearities up to the third order. The space continuum model is space-discretized by a Galerkin projection and then studied by a perturbation approach based on the Normal Form method in order to reduce the system to a simpler and essential form defined by its resonance conditions. A physical interpretation of the involved small divisors is given by analyzing how different equation parameters influence the reduced normal form model in the neighborhood of both static and dynamic bifurcation points.

Normal form analysis of a forced aeroelastic plate / Eugeni, Marco; Mastroddi, Franco; Dowell, Earl H.. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 390:3(2017), pp. 141-163. [10.1016/j.jsv.2016.12.001]

Normal form analysis of a forced aeroelastic plate

EUGENI, MARCO
Writing – Original Draft Preparation
;
MASTRODDI, Franco
Writing – Review & Editing
;
2017

Abstract

A nonlinear elastic plate in a supersonic unsteady flow forced by a dynamic excitation and a biaxial compressive load is studied. The physical behavior of the plate is modelized by the Von Kàrmàn equations and the aerodynamic loads are modeled by using the piston theory including nonlinearities up to the third order. The space continuum model is space-discretized by a Galerkin projection and then studied by a perturbation approach based on the Normal Form method in order to reduce the system to a simpler and essential form defined by its resonance conditions. A physical interpretation of the involved small divisors is given by analyzing how different equation parameters influence the reduced normal form model in the neighborhood of both static and dynamic bifurcation points.
2017
Aeroelasticity; Norma Form Theory; Perturbation methods; Small divisors; Condensed Matter Physics; Mechanics of Materials; Acoustics and Ultrasonics; Mechanical Engineering
01 Pubblicazione su rivista::01a Articolo in rivista
Normal form analysis of a forced aeroelastic plate / Eugeni, Marco; Mastroddi, Franco; Dowell, Earl H.. - In: JOURNAL OF SOUND AND VIBRATION. - ISSN 0022-460X. - STAMPA. - 390:3(2017), pp. 141-163. [10.1016/j.jsv.2016.12.001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/925135
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