Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis
Sehar Asghar,Muhammad N. Naeem,Muzamal Hussain,Muhammad Taj,Abdelouahed Tounsi
Abstract
This paper aims to study vibration characteristics of chiral and zigzag double-walled carbon nanotubes entrenched on Donnell shell model. The Eringen\'s nonlocal elastic equations are being combined with Donnell shell theory to observe small scale response. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. A nonlocal model has been formulated to explore the frequency spectrum of both chiral and zigzag double-walled CNTs along with diversity of indices and nonlocal parameter. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail. The numerical solution based on this nonlocal Donnell shell model can be further used to predict other frequency phenomena of double-walled and multi-walled CNTs.
Key Words
CNT; Chiral and zigzag; nonlocal parameter; Donnell shell model
Address
Sehar Asghar, Muhammad N. Naeem, Muzamal Hussain — 1Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Muhammad Taj — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory, University of SidiBel 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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