Mathematical Modeling of the Dynamic Interaction of a Thin Piezoceramic Inclusion of Variable Thickness with an Elastic Medium in Axisymmetric Torsion
摘要
We construct mathematical models of the dynamic interaction of a thin piezoceramic inclusion of variable thickness with an elastic isotropic medium under the conditions of axisymmetric torsion of the composite. The conditions of perfect mechanical contact are satisfied on the interface. We consider the case of an electrically insulated and grounded piezoceramic inclusion. Modeling is carried out with the help of the singular perturbation theory.