Transient sinusoidal shear deformation formulation of a size-dependent three-layer piezo-magnetic curved nanobeam

The present paper develops a transient formulation for a three-layer curved nanobeam in thermo-magneto-elastic environments. The sinusoidal shear deformation theory is employed to derive the displacement field of a curved nanobeam and governing equations of motion based on nonlocal elasticity formulation and Hamilton's principle. The curved nanobeam includes a nanocore and two integrated piezo-magnetic layers subjected to electric and magnetic potentials and transverse loads resting on a Pasternak foundation. The analytical solution is presented to investigate the influence of excitation frequency, nonlocal parameter and applied electric and magnetic potentials on the dynamic responses of the curved nanobeam. It can be concluded that an increase in nonlocal parameter decreases the stiffness of the curved nanobeam and consequently increases radial and transverse deflections.