Normal form analysis of a forced aeroelastic plate


Journal Article

© 2016 Elsevier Ltd 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 Kármán 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.

Full Text

Duke Authors

Cited Authors

  • Eugeni, M; Mastroddi, F; Dowell, EH

Published Date

  • March 3, 2017

Published In

Volume / Issue

  • 390 /

Start / End Page

  • 141 - 163

Electronic International Standard Serial Number (EISSN)

  • 1095-8568

International Standard Serial Number (ISSN)

  • 0022-460X

Digital Object Identifier (DOI)

  • 10.1016/j.jsv.2016.12.001

Citation Source

  • Scopus