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Dynamic Behavior of Nonlinear Viscoelastic Kármán Plates under a Transverse Harmonie Load

The dynamic behavior of a nonlinear viscoelastic Kärman plate under a transverse harmonic load is investigated. A high order mathematical model is set up under the hypotheses of the Kärman theory of thin plates. The material behavior is described by the Leaderman representation of nonlinear viscoelasticity. The influence of the loading amplitude and the material relaxation time on the dynamic behavior of the plate is discussed with the help of the largest Lyapunov exponent.