Dynamic stability of viscoelastic porous FG nanoplate under longitudinal magnetic field via a nonlocal strain gradient quasi-3D theory

Abstract

This research is devoted to analyze the dynamic instability of viscoelastic porous functionally graded (FG) nanoplates under biaxially oscillating loading and longitudinal magnetic field using quasi-3D sinusoidal shear deformation plate theory as well as nonlocal strain gradient theory (NSGT). Modified power-law function is developed to show the effective material properties of the porous FG nanoplate that change uniformly from one surface to another. The motion equations are obtained by employing Hamilton's variational principle. In order to calculate the unstable region of the porous FG nanoplate, Navier as well as Bolotin's methods are utilized. The current theories and formulations are v..