Vibration Analysis of Nonlinear Magneto Flexo Electric Mass Sensor Carbon Nanotube Resting on Elastic Substrate

Abstract

The present paper is dedicated to study the nonlinear ultrasonic waves in a magneto-flexo-thermo elastic armchair
single-walled carbon nanotube with mass sensors resting on polymer matrix. Here the small-scale effect is captured by Eringen’s nonlocal elasticity theory. After developing the formal solution of the mathematical model consisting of partial differential equations, the frequency equations have been analyzed numerically by using the nonlinear foundations supported by Winkler-Pasternak model. The solution is obtained by ultrasonic wave dispersion relations. Parametric work is carried out to scrutinize the influence of the non local scaling, magneto-flexo-mechanical loadings, foundation parameters, attached mass, various boundary condition and length on the dimensionless frequency of nanotube. It is noticed that the boundary conditions, nonlocal parameter, attached mass and tube geometrical parameters have significant effects on dimensionless frequency of nano tubes.