Abstract
In the present paper, force driven vibrations of a physically nonlinear plate are studied by the method of multiple time scales when the plate is subjected to the conditions of the one-to-one internal resonance. The damping features of the surrounding medium are described by the fractional derivative Kelvin-Voight model. The influence of viscosity on the energy exchange mechanism between interacting nonlinear modes has been analyzed. For the one-to-one internal resonance, the nonlinear set of resolving equations in terms of amplitudes and phase differences has been obtained, and a comparative analysis of numerical calculations of free and forced vibrations are presented.
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