Wave propagation in magneto-electro-elastic nanobeams via two nonlocal beam models

The effect of the external magnetic potential Ψ0 on the dispersion relation of the Timoshenko MEE nanobeams is plotted. It is found that the cut-off wave number is zero when Ψ0≥0A , but it shifts to a nonzero value when Ψ0<0A.113