Magneto-electric effects on nonlocal nonlinear dynamic characteristics of imperfect multi-phase magneto-electro-elastic beams

Abstract

This paper studies nonlinear dynamic characteristics of a nonlocal two-phase piezo-magnetic beam including geometric imperfections by considering piezoelectric reinforcement scheme. The piezoelectric reinforcement can cause an enhanced vibration behavior of smart nanobeams under magnetic field. All of prior papers on piezo-magnetic nanobeams ignore the influence of geometric imperfections which are substantial because a nanobeam is not ever ideal. Nonlinear governing equations of a smart nanobeam are derived based on refined beam theory and a numerical trend is provided to obtained nonlinear vibration frequency. This research shows that changing the volume fraction of piezoelectric phase in the material has a great influence on vibration behavior of smart nanobeam under electric and magnetic fields. Also, it can be seen that nonlinear vibration behavior of smart nanobeam is dependent on the magnitude of exerted electric voltage, magnetic potential, hardening elastic foundation and geometrical imperfection.