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Normal form analysis of a forced aeroelastic plate

Publication ,  Journal Article
Eugeni, M; Mastroddi, F; Dowell, EH
Published in: Journal of Sound and Vibration
March 3, 2017

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.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 3, 2017

Volume

390

Start / End Page

141 / 163

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Eugeni, M., Mastroddi, F., & Dowell, E. H. (2017). Normal form analysis of a forced aeroelastic plate. Journal of Sound and Vibration, 390, 141–163. https://doi.org/10.1016/j.jsv.2016.12.001
Eugeni, M., F. Mastroddi, and E. H. Dowell. “Normal form analysis of a forced aeroelastic plate.” Journal of Sound and Vibration 390 (March 3, 2017): 141–63. https://doi.org/10.1016/j.jsv.2016.12.001.
Eugeni M, Mastroddi F, Dowell EH. Normal form analysis of a forced aeroelastic plate. Journal of Sound and Vibration. 2017 Mar 3;390:141–63.
Eugeni, M., et al. “Normal form analysis of a forced aeroelastic plate.” Journal of Sound and Vibration, vol. 390, Mar. 2017, pp. 141–63. Scopus, doi:10.1016/j.jsv.2016.12.001.
Eugeni M, Mastroddi F, Dowell EH. Normal form analysis of a forced aeroelastic plate. Journal of Sound and Vibration. 2017 Mar 3;390:141–163.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

March 3, 2017

Volume

390

Start / End Page

141 / 163

Related Subject Headings

  • Acoustics
  • 09 Engineering
  • 02 Physical Sciences