Eur. Phys. J. Plus (2018) 133: 42
https://doi.org/10.1140/epjp/i2018-11868-4

Regular Article

Dynamic response of a single-walled carbon nanotube under a moving harmonic load by considering modified nonlocal elasticity theory

Smart Structures and New Advanced Materials Laboratory Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran

^* e-mail: omid.rahmani@znu.ac.ir

Received: 21 April 2017
Accepted: 10 January 2018
Published online: 8 February 2018

Abstract

Transverse forced vibration of a single-walled carbon nanotube (SWCNT) under excitation of a moving harmonic load has been analyzed based on modified nonlocal elasticity theory. In the parametric study, influences of nonlocal parameter, velocity of the moving load, excitation frequency, order of derivative and their interactive effects on forced deflection of the nanotube have been investigated in details. Numerical amounts of the dimensionless static deflection of the SWCNT have been calculated and compared with those of existing papers and an excellent agreement has been achieved. The results show that the variation of N affects the dynamic deflection and natural frequency of SWCNTs, significantly. Also by amplification of the excitation frequency, differences between the amounts of dynamic deflection become smaller for various values of N . Furthermore, decreasing the frequency ratio causes a reduction of the maximum deflection and increasing the frequency ratio causes an increase of the maximum deflection for values of load velocity which are greater than a specified value.