Vibrations and instability of pretensioned current-carrying nanowires acted upon by a suddenly applied three-dimensional magnetic field

Longitudinal and transverse vibrations of a pretensioned current-carrying nanowire subjected to a suddenly exerted three-dimensional magnetic field are of concern. Using an elastic string model by considering the surface effect, the equations of motion of the nanostructure are established. By employing admissible mode shapes and Laplace transform approach, an analytical solution is proposed to determine the nanowire's elastic field. The explicit expressions of the longitudinal and transverse displacements of the nanowire are derived. The conditions that lead to the dynamic instability of the nanostructure are also discussed. The influences of the initial tensile force, electric current, and the components of the magnetic field on the dynamic displacements are comprehensively addressed. (C) 2015 Elsevier B.V. All rights reserved.