Bifurcation analysis of a nonlinear viscoelastic panel

The dynamic behavior of a nonlinear viscoelastic panel subjected to a simpl e harmonic excitation is studied. Using the Galerkin principle, the double mode model is presented in this paper. The bifurcation behavior of the pane l is examined in detail in the case of internal response. The method of ave raging is used to derive a set of autonomous equations. The averaged differ ential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numericaly verified. (C) 2001 Editions scientifiques et medicales Elsevier SAS.