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Damping and Forced Vibration Analyses of Viscoelastic Shells

The forced vibration response curves and damping characteristics of viscoelastic and sandwich viscoelastic shells are studied by a combination of the finite element and perturbation methods. The mathematical formulation is developed in a general form in order to take into account various viscoelastic models in the frequency domain. Frequency dependent Young modulus based on various Maxwell's model is used for viscoelastic materials modeling. The series-continuation and Padé-continuation procedures are elaborated for harmonic responses of elastic, viscoelastic and sandwich arches, panels, and cylindrical shells. Passive vibration control, response curves, and equivalent damping characteristics are obtained at large frequency ranges.