Steel and Composite Structures

Volume 34, Number 4, 2020, pages 599-613

DOI: 10.12989/scs.2020.34.4.599

Nonlocal vibration of DWCNTs based on Flügge shell model using wave propagation approach

Sehar Asghar, Muhammad N. Naeem, Muzamal Hussain and Abdelouahed Tounsi

Abstract

In this article, free vibration attributes of double-walled carbon nanotubes based on nonlocal elastic shell model have been investigated. For this purpose, a nonlocal Flügge shell model is established to observe the small scale effect. The wave propagation is employed to frame the governing equations as eigenvalue system. The influence of nonlocal parameter subjected to different end supports has been overtly examined. A suitable choice of material properties and nonlocal parameter been focused to analyze the vibration characteristics. The new set of inner and outer tubes radii investigated in detail against aspect ratio and length. The dominance of boundary conditions via nonlocal parameter is shown graphically. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.

Key Words

free vibration; nonlocal parameter; double-walled CNTs; Flügge shell model; wave propagation approach

Address

Sehar Asghar, Muhammad N. Naeem and Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan Abdelouahed Tounsi: Faculty of Technology Civil Engineering Department, Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia