Size-dependent vibration and bending analyses of the piezomagnetic three-layer nanobeams

Vibration and electro-magneto-elastic bending analysis of a three-layer nanobeam with a nanocore and two piezomagnetic face sheets are studied in this paper. Timoshenko model of beam as well as nonlocal magnetoelectro-elastic relations are used for analysis of this problem. The nanoface sheets are subjected to applied electric and magnetic potentials. The nanobeam rests on Winkler-Pasternak foundation. Electric and magnetic potentials are assumed as combination of linear function along the thickness direction that reflects applied electric and magnetic potentials and a cosine function that satisfies boundary conditions. Numerical results of this problem investigate the effect of some important parameters of nanobeam, such as nonlocal parameter, applied electric and magnetic potentials, and parameters of foundation on the vibration and magneto-electro-mechanical bending behaviors of the problem.