Electromagnetic forced vibrations of composite nanoplates using nonlocal strain gradient theory

Forced vibrations of a piezoelectric-piezomagnetic ceramic nanoplate is investigated by a new refined plate theory in conjunction with higher-order nonlocal strain gradient theory in this study. As both stress nonlocality and strain gradient size-dependent influences are taken into account in the higher-order nonlocal strain gradient theory, the governing equations of the smart composite plate are formulated. When all the edges are considered as simple boundaries, the governing equations can be solved with a closed-form solution, from which the maximum dynamic deflections are obtained. To validate the results of the new plate theory, the comparison between ours and the previous ones are presented. The influence of the different parameters on the nanoplate responses to the transverse harmonic load is also studied.