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Research Paper

Effective Stiffness and Effective Mass of the Double-Walled Carbon Nanotube Sensor

[+] Author and Article Information
I. Elishakoff

Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton, FL 33431-0991elishako@fau.edu

C. Versaci

Department of Civil Engineering, University of Messina, Contrada di Dio (Vill. S. Agata), 98166 Messina, Italyclaudia.versaci@ingegneria.unime.it

G. Muscolino

Department of Civil Engineering, University of Messina, Contrada di Dio (Vill. S. Agata), 98166 Messina, Italymuscolin@ingegneria.unime.it

J. Nanotechnol. Eng. Med 2(1), 011008 (Feb 04, 2011) (5 pages) doi:10.1115/1.4003299 History: Received November 24, 2010; Revised December 17, 2010; Published February 04, 2011; Online February 04, 2011

In this study, the effective stiffness of the double-walled carbon nanotube sensor is determined by both the Bubnov–Galerkin method and the finite difference technique. It is shown that in addition to the familiar expression of the effective stiffness of the clamped-free beam, there is an additional term for the double-walled carbon nanotube’s effective stiffness. Additionally, it is demonstrated that there are two effective stiffness expressions, depending on where the load is applied, at the inner tube or at the outer tube. Additionally, effective mass is evaluated in the context of the Galerkin method.

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Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

FDM discretization of the beam under concentrated load at the tip

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