Karnaukhova O. Parametric vibrations of viscoelastic layered thin-walled piezoelements

The multilayered viscoelastic thin-walled piezoelements made from passive and piezoactive layeres are considered. The nonlinear and linearizated models are developed and the influence of coupling mechanical and electrical fields on parametrical vibrations of thin-walled elements under harmonic mechanical and electrical forces are investigated. Methods of investigations are the methods of hypothesis, the finite element method and the methods of nonlinear mechanics. New problems of parametrical vibrations of piezoplates and circular piezoshells are solved and the influence of structure's inhomogeneity, material dissipative properties, mechanical and electrical boundary conditions, inertia forces on main area of dynamic instability are studied. The use is to be made of this belongs to the dynamic theory of thin-walled elements and the theory of active damping vibrations of the elements by piezoelectrical inclusions.