Eringen\'s nonlocal model sandwich with Kelvin\'s theory for vibration of DWCNT
Muzamal Hussain,Muhammad N. Naeem,Sehar Asghar,Abdelouahed Tounsi
Abstract
In this paper, vibration characteristics of chiral double-walled carbon nanotubes entrenched on Kelvin\'s model. The Eringen\'s nonlocal elastic equations are being combined with Kelvin\'s theory to observe small scale response. A nonlocal model has been formulated to explore the frequency spectrum of chiral double-walled CNTs along with diversity of indices and nonlocal parameter. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail.
Muzamal Hussain, Muhammad N. Naeem, Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
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