Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Abstract

The present paper aims at studying the nonlinear ultrasonic waves in a magneto-thermo-elastic armchair single-walled (SW) carbon nanotube (CNT) with mass sensors resting on a polymer substrate. The analytical formulation accounts for small scale effects based on the Eringen’s nonlocal elasticity theory. The mathematical model and its differential equations are solved theoretically in terms of dimensionless frequencies while assuming a nonlinear Winkler-Pasternak-type foundation. The solution is obtained by means of ultrasonic wave dispersion relations. A parametric work is carried out to check for the effect of the nonlocal scaling parameter, together with the magneto-mechanical loadings, the foundation parameters, the attached mass, boundary conditions and geometries, on the dimensionless frequency of nanotubes. The sensitivity of the mechanical response of nanotubes investigated herein, could be of great interest for design purposes in nano-engineering systems and devices.

Lateral buckling analysis of nanotubes and nanorings under uniform external pressure: a closed-form nonlocal solution

“…Recently, nanotechnology has presented a new field of applied sciences which deals with the mechanical analysis of the micro-and nanolength scale structures [1][2][3][4][5][6][7][8][9]. Among these, nanotubes and nanorings are the most applicable nanostructures which can play an important role for different applications [10][11][12][13][14][15][16][17][18].…”