Abstract.

This study is a prior attempt at the influence of the cylindrical piezoelectric inclusion in a rectangular elastic plate on the natural vibration of this plate utilizing 3D exact equations of the piezo-elastodynamics theories. Mathematical modeling of the problem is formulated within the scope of the 3D exact equations of electro-elasticity theory using the piecewisehomogeneous body model. It is supposed that the plate has simply-supported mechanically and short-circuit conditions with respect to the electric potential along all its lateral edge surfaces and ideal contact conditions are provided at the interface surfaces between the piezoelectric (PZT) inclusion and the elastic matrix.

Keywords:

piezoelectric, inclusion, vibration, frequency, 3D FEM.