Nonlinear Vibrations and Dissipative Heating of Laminated Shells of Piezoelectric Viscoelastic Materials with Shear Strains

A combined numerical-and-analytical technique for studying the forced geometrically nonlinear vibrations of laminated shells of revolution made of piezoelectric viscoelastic materials under electrical and mechanical loadings with allowance for transverse shear strains and temperature of dissipative heating is proposed. The technique is based on the finite-element method in the variational statement and the harmonic linearization method. The results of numerical modeling of a hinged three-layer cylindrical panel consisting of similar outer piezoelectric layers and inner passive viscoelastic layer are presented. The behavior of the deflection in the neighborhood of the first resonance for cylindrical panels of different thickness is studied. The temperature field of vibroheating of the viscoelectroelastic cylindrical panel under electrical loading is analyzed numerically.