The Free Vibration of the Magneto-Electro-Elastic Materials Laminated Circular Plate

In this paper, on the basis of the dynamic equation of material which contains transversely isotropic piezoelectric, piezomagnetic and elastic media, the state variables equation of piezoelectric, piezomagnetic and elastic circular plate in axial symmetric deformation is deduced. Under the given boundary conditions, according to the theorem of Caylay-Hamilton and applying the transfer matrix method, the solutions of state variables equation which are about free vibration of piezoelectric, piezomagnetic and elastic circular plate of single layer and multilayered are obtained. The calculation example indicates that from the varying law of the first natural frequency of the plate depending on the thickness-to-radius radio of the plate under varied conditions, the vibration properties of piezoelectric, piezomagnetic and laminated plate is related to the laminatation order of the material is gotten to know.