Abstract
Von Karman 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. The amplitude equation is obtained with the use of time averaging followed by the harmonic balance method. Then, the finite element discretization is adopted using 8-noded rectangular plate elements with selective-reduced integration. Some numerical examples are solved, and the response curves are found using a path-following method. Focus in these analyses is laid on checking the material features resulting from the proposed combination of geometric nonlinearity and the adopted model of viscoelasticity.
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