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The paper is devoted to non-linear vibrations of plates, made of the Zener viscoelastic material modelled with the Caputo fractional derivative, and in particular to their response to harmonic excitation. The plate geometric non-linearity is of the von Kármán type. In the formulation shear effects and rotary inertia are considered, too. The problem is solved in the frequency domain. A one-harmonic...
Von Kármán geometrically nonlinear plates, made of the Zener viscoelastic material, subjected to harmonic excitation are analyzed in this paper. Shear effects and the influence of rotary inertia are included. The problem is formulated in the frequency domain, starting with the time-averaged principle of virtual work. An appropriate harmonic form of the solution for plate displacements is assumed....
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