Stability and vibrations of doubly parallel current-carrying nanowires immersed in a longitudinal magnetic field

A refined integro-surface energy-based model for vibration of magnetically actuated double-nanowire-systems carrying electric current

“…(21a)-(21d) are reduced to the equations of motion of doubly parallel current-carrying macrowires in the presence of a longitudinal magnetic field. For very lengthy nanowires (i.e., in the absence of bending rigidity and rotational inertia), the dynamic response of the nanosystem under arbitrary initial conditions was investigated by Kiani [15,16]. The explicit expressions of the frequencies and their corresponding vibration modes were obtained.…”

“…The induced magnetic fields at the locations of the deformed NWs could be evaluated using Biot-Savart's law whereas the exerted magnetic forces on them are commonly computed via Lorentz's law. In the previous explorations [15,16], vibrations and dynamic instability of lengthy DCCNWs with and without application of magnetic field were studied. Since the length of the NWs was large enough, their bending rigidities were provoked and the exerted magnetic field could be easily evaluated based on the infinite length assumption.…”

Vibro-Electrical Behavior of a Viscoelastic Piezo-Nanowire in an Elastic Substrate Considering Stress Nonlocality and Microstructural Size-Dependent Effects

“…An explicit solution technique was devoted to compute natural frequencies of the wire. Kiani also published some other research works related to the nanowires [17][18][19]. Mercan et al [20] modeled stability of a Silicon Carbide nanowire on the basis of a higher-order elasticity theory.…”

Column buckling of magnetically affected stocky nanowires carrying electric current

“…Additionally, buckling [43][44][45][46][47][48][49], vibrations [50][51][52][53][54][55], and statics [56][57][58] of NWs have been investigated in the context of the surface elasticity theory of Gurtin and Murdoch. Concerning magnetically affected CCNWs, their free and forced vibrations [59,60] and their dynamic interactions in the case of doubly parallel lengthy CCNWs [61] using the surface elasticity theory have been examined and a brief knowledge regarding them has been beginning to come out. However, the axial buckling behavior of these tiny structures has not been addressed yet.…”