Title: Dynamic modelling of CNTs under multiple moving nanoparticles based on non-local strain gradient theory

Authors: Abbes Elmeiche; Mohamed Bouamama; Abdelhak Elhannani; Abdelkader Lousdad

Addresses: Laboratory of Solids and Structures Mechanics (LMSS), Faculty of Technology University of Sidi-Bel Abbes, Sidi-Bel Abbes, Algeria ' Mechanics Research Center (CRM), BP N73B, Ain El Bey, 25021 Constantine, Algeria ' Ahmed Ben Yahia El Wancharissi University-Tissemsilt, BP 182, Road Bougara, Tissemsilt, Algeria ' Laboratory of Solids and Structures Mechanics (LMSS), Faculty of Technology Department of Mechanical Engineering, University of Sidi-Bel Abbes, Sidi-Bel Abbes, Algeria

Abstract: This paper presents an investigation on the dynamic behaviour of single-walled carbon nano-tubes (SWCNT) crossed by multiple moving nano-particles modelled as mobile loads based on Timoshenko's non-local beam theory, including rotational inertia. The governing equations are derived using Hamilton's principle combined with Galerkin's method. The eigen-frequencies are determined by solving analytically the system of equations which govern the problem of the eigenvalues. Temporal integration of the Newmark's method is adopted to find the dynamic response of single-walled carbon nanotubes (SWCNT). The obtained eigen-frequencies are validated by the results of previous published studies. A detailed parametric study is carried out to analyse the effects of non-local parameters, the slenderness ratio, the displacement speed and the number of moving loads on the vibration characteristics of the model. Type or paste your abstract here as prescribed by the journal's instructions for authors. The obtained results show that above mentioned effects play an important role and have a significant effect on the transitional dynamic behaviour of single-walled carbon nanotubes (SWCNT).

Keywords: dynamic behaviour; SWCNT; multiple moving nano-particles; Timoshenko's non-local beam theory; displacement speed; eigen-frequencies; dynamic response lower.

DOI: 10.1504/IJESMS.2025.143035

International Journal of Engineering Systems Modelling and Simulation, 2025 Vol.16 No.1, pp.23 - 33

Received: 18 Jun 2023
Accepted: 01 Oct 2023
Published online: 02 Dec 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article