Forced vibrations of a current-carrying nanowire in a longitudinal magnetic field accounting for both surface energy and size effects

• Vibrations of magnetically affected nanowires carrying electric current are of concern.
• Both surface and nonlocality effects are considered in deriving governing equations.
• Strong equations are solved in their weakly discretized form by Galerkin method.
• The effects of magnetic field and electric current on displacements are studied.
• The roles of small-scale parameter and surface effect on deflections are addressed.

Forced vibrations of current-carrying nanowires in the presence of a longitudinal magnetic field are of interest. By considering the surface energy and size effects, the coupled equations of motion describing transverse motions of the nanostructure are derived. By employing Galerkin and Newmark-β approaches, the deflections of the nanowire subjected to transverse dynamic loads are evaluated. The effects of the magnetic field, electric current, pre-tension force, frequency of the applied load, surface and size effects on the maximum transverse displacements are discussed. The obtained results display that for the frequency of the applied load lower than the nanowire׳s fundamental frequency, by increasing the magnetic field or electric current, the maximum transverse displacements would increase. However, for exciting frequencies greater than that of the nanowire, maximum transverse displacements would increase or decrease with the magnetic field strength or electric current. Additionally, the pre-tension force results in decreasing of the maximum transverse displacements. Such a reduction is more apparent for higher values of the magnetic field strength and electric current. The present study would be useful in the design of the micro- and nano-electro-mechanical systems expected to be one of the most wanted technologies in the near future.

Forced transverse vibrations of current-carrying nanowires in the presence of a longitudinal magnetic field are aimed to be investigated by considering both nonlocality and surface effects.Figure optionsDownload as PowerPoint slide