Abstract
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.
Highlights
IntroductionMagneto-thermo-elastic armchair single-walled (SW) carbon nanotubes (CNTs) represent an advanced material
Magneto-thermo-elastic armchair single-walled (SW) carbon nanotubes (CNTs) represent an advanced materialFang [8] applied a nonlocal elasticity theory to study the nonlinear free vibration of double walled CNTs
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
Summary
Magneto-thermo-elastic armchair single-walled (SW) carbon nanotubes (CNTs) represent an advanced material. Li et al [16] applied a nonlocal strain gradient theory to study the wave propagation in viscoelastic single-walled CNTs under a magnetic field, while checking for the sensitivity of the response to the surface properties and damping parameters. Based on the available literature, it seems that there is a general lack of studies focusing on the nonlinear ultrasonic waves in a magneto-thermo-elastic armchair SW-CNTs with mass sensors resting on polymer matrix. This is here proposed and analysed by means of a nonlocal Euler beam theory, in agreement with the Eringen’s assumptions, in order to account for small scale effects. We determine the solutions of the ultrasonic wave dispersion relations governing the problem, whereby a parametric study is carried out systematically to check for the influence of the magneto-electro-mechanical loading, attached mass, nonlocal parameter, and aspect ratio, on the deflection properties of nanotubes
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