Eur. Phys. J. Plus (2020) 135: 439
https://doi.org/10.1140/epjp/s13360-020-00399-4

Regular Article

Nonlinear vibration characteristics of refined higher-order multi-phase piezo-magnetic nanobeams

Engineering College, Al-Mustansiriah University, P.O. Box 46049, Bab-Muadum, Baghdad, 10001, Iraq

^* e-mail: dr.nadhim@uomustansiriyah.edu.iq
^** e-mail: drnadhim@gmail.com

Received: 1 January 2020
Accepted: 13 April 2020
Published online: 28 May 2020

Abstract

This paper studies nonlinear dynamic characteristics of a nonlocal two-phase piezo-magnetic beam based on a refined higher-order beam formulation and piezoelectric reinforcement scheme. The piezoelectric reinforcement can cause an enhanced vibration behavior of smart nanobeams under magnetic field. 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 shear deformation.