Analytical solution for the transient response of symmetric magnetoelectric laminated beams

In this paper an analytical solution is presented for the forced vibration problem ofmagnetoelectric symmetric laminated beams. In deriving the mathematical model theTimoshenko’s beam theory is used and the electric and magnetic fields are assumed tobe quasi-static. The model is written for a magnetoelectric sensing device by applyingproper magnetoelectric boundary conditions on the beam top and bottom surfaces.The model highlights that the magneto-electro-mechanical couplings affect the bendingstiffness and that the magnetoelectric inputs can be treated as equivalent bendingmoments. Forced vibration analyses are presented to assess the reliability of the solution.