Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets

Abstract

The present research is devoted to examine nonlinear forced vibration behavior of sandwich nanobeams with piezo-magnetic face sheets and rested on a hardening elastic substrate based on ordinary differential nonlocal elasticity. A uniform harmonic load is applied to the sandwich nanobeam leading to forced oscillations. The face sheets are constructed from two phases called piezoelectric and magnetic phases. In the face sheets, different percentages of the piezoelectric phase is considered for the first time. It will be shown that vibration behavior of the nanobeam is affected by the amount of piezoelectric phase in the face sheets. Via an analytical procedure, the ordinary nonlinear governing equation is solved to express the amplitude-frequency relationship. It is also shown that the effect of electric and magnetic fields on forced vibrations of sandwich nanobeam rely on the amount of piezoelectric content. Also, forced vibration characteristics of the nanobeam are prominently affected by the nonlocality, hardening foundation and applied harmonic load.