Axisymmetric harmonic vibrations of laminated piezoelectric shells of revolution as elements of electromechanical systems (Q2754734)

Equations of laminated electroelastic shells of revolution are represented in the form that enables one to model different boundary conditions for both mechanical and electric variables. This provides an opportunity to study conjugate vibrations of the shell construction and the electric circuit. In accordance with principal assumptions of applied theory of thin-walled elements, based on the straight normal hypothesis, a single representation for deformations within the complete package of layers is used. The system of mechanical equations additionally includes physical equations for generalized plane stress, constitutive equations, equations of motion in stress resultants and geometric relations. The system is completed with expressions for the normal component of electric displacement and equations of circuits. The resolving system consists of \((6+2m)\) ordinary differential equations, where \(m\) is the number of electrodes. An example for composite metal-ceramics circular plate is considered.