Nonlocal electromagnetic instability of carbon nanotube‐based nano‐sensor

Abstract

Carbon nanotube (CNT) manufactured nano‐sensors have the potential for innovative applications and can be used in biological porous and particle accelerometer sensors. For these applications, the external magnetic field might affect the performance of these instruments. In this paper, the fundamental equations of motion of a doubly clamped CNT‐based nano‐sensor are calculated with regard to the nonlocal elasticity by using Hamilton's principle and Euler–Bernoulli beam model. By developing Maxwell's equation, we investigate the Lorentz forces due to an external magnetic field. We also incorporated the influence of the structural damping and van der Waals force in the developed model. Next, the system's nonlinearity is defined using von Karman nonlinear strains. A Galerkin procedure is developed for solving the system's nonlinear governing equation. Then, the impacts of underlying parameters such as material length scale, van der Waals force, damping, and the longitudinal magnetic field on the electromagnetic dynamic instability of the nano‐sensor are examined. Finally, a closed‐form solution for the oscillation behavior of CNT is presented by employing the homotopy perturbation method. The obtained results are validated by comparing with those available in the literature as well as a numerical solution. The outcomes demonstrated that the magnetic flux could drastically affect the nano‐sensor's dynamic instability voltage.