Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic face-sheets

چکیده مقاله

In this paper, based on the sinusoidal shear deformation plate theory, equations of motion for a sandwich nanoplate containing a nano core and two integrated piezo-magnetic face-sheets are derived. The piezo-magnetic face- sheets are subjected to three dimensional electric and magnetic potentials containing applied electric and magnetic potentials. Nonlocal piezo-magneto- elastic relations are derived in a thermal environment. Hamilton's principle is used to derive seven equations of motion in terms of three deformation components of mid-surface, two shear components and electric and magnetic potentials. Natural frequencies of sandwich nanoplate are derived in terms of nonlocal parameter. After finding solution of the governing equations of motion, the effect of important parameters of nanoplate are investigated on the mechanical, electrical and magnetic components of nanoplate. Based on the present study, with increasing applied electric potential, dimensionless deflection is decreased and maximum electric and magnetic potentials are increased. Furthermore, with increasing applied magnetic potential, deflection is increased and maximum electric and magnetic potentials are decreased significantly. The numerical results of this problem indicate that one can control deformation or stress in nano structure due to changing the applied electric and magnetic potentials.