Bifurcation analysis of a nonlinear viscoelastic panel

The dynamic behavior of a nonlinear viscoelastic panel subjected to a simple harmonic excitation is studied. Using the Galerkin principle, the double-mode model is presented in this paper. The bifurcation behavior of the panel is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analysis are numerically verified.