Eur. Phys. J. Plus (2021) 136: 458
https://doi.org/10.1140/epjp/s13360-021-01419-7

Regular Article

Dynamic response of nonlocal strain gradient FG nanobeam reinforced by carbon nanotubes under moving point load

¹ Department of Mechanical Engineering, Karabuk University, Karabuk, Turkey
² Department of Civil Engineering, Laboratoire D’Etude Des Structures Et de Méecanique Des Matéeriaux, Mascara, Algeria
³ Mechanics of Structures and Solids Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
⁴ Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
⁵ Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, Zagazig, Egypt

^c meltaher@kau.edu.sa, mohaeltaher@gmail.com

Received: 27 March 2021
Accepted: 9 April 2021
Published online: 27 April 2021

Abstract

In this study, the dynamic behavior of composite beams reinforced by carbon nanotubes (CNTs) exposed to a mass moving is investigated. By considering the external potential energy due to the applied moving mass, the equations of motion of the CNT-reinforced beam are obtained using Hamilton’s principle by combining Reddy’s third-order shear deformation theory and nonlocal strain gradient theory. Three types of aligned CNT-reinforced beams are considered, namely uniformly distributed CNT beams (UD-CNT) and functionally graded CNT beams type Λ (FGΛ-CNT), and type X (FGX-CNT). Navier’s procedure is applied to obtain the closed-form solutions of simply supported CNT-reinforced beams. Verification of the present solution with previous works is presented. A detailed parametric analysis is carried out to highlight the impact of moving load velocity, nonlocal parameter, material scale parameter, total volume fraction and CNTs distribution patterns on the midspan deflections of CNTs-reinforced composite beams. The proposed model is useful in the designing and analyzing of MEMS/NEMS, nanosensor, and nanoactuator manufactured from CNTs.