Forced Geometrically Nonlinear Vibrations of Thin Shells of Revolution with Piezoelectric Layers

A combined numerical-and-analytical technique for studying the geometrically nonlinear vibrations of thin shells of revolution with piezoelectric layers is proposed. The technique uses the finite-element method and the method of harmonic linearization. The results of numerical modeling of a cylindrical panel having similar piezoelectric face layers and a passive viscoelastic core layer are presented. The behavior of the deflection in the vicinity of the first resonance at various damping coefficients is studied in detail.