ABSTRACT
This chapter aims to reveal the wave dispersion responses of nanosize beams and plates whenever the structure is subjected to an external induced loading produced by a unidirectional magnetic field which exists in the environment. The equivalent amount of the applied magnetic force, called Lorentz force, will be calculated within the framework of developing the Maxwell’s magnetic induction relations for beam-type and plate-type elements. Both classical and shear deformable kinematic hypotheses will be implemented to derive the equations of motion of beams and plates. It will be shown that the dispersion curves of nanobeams and nanoplates will be dramatically affected on changing the magnitude of the magnetic field intensity. However, this influence can be either weak or strong depending on the wave number used.
