Exact solution for natural frequencies of double-walled carbon nanotubes clamped at both ends

Authors

• Isaac Elishakoff, Florida Atlantic University
• Demetris Pentaras, Florida Atlantic University
• Kevin Dujat, French Institute in Advanced Mechanics
• Maurice Lemaire, Université Clermont Auvergne

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Philosophical Magazine Letters

Publication Status

Version of Record

Abstract

We report a study of the natural frequencies of the double-walled carbon nanotubes clamped at both ends. An exact solution is provided and compared with solutions reported in the literature. In contrast to earlier investigations, an analytical criterion is derived to establish the behavior of the roots of the characteristic equation. An approximate Bubnov-Galerkin solution is also obtained to compare natural frequencies at the lower end of the spectrum. © 2011 Taylor & Francis.

First Page

1

Last Page

17

DOI

10.1080/09500839.2010.521525

Publication Date

1-1-2011

Recommended Citation

Elishakoff, Isaac; Pentaras, Demetris; Dujat, Kevin; and Lemaire, Maurice, "Exact solution for natural frequencies of double-walled carbon nanotubes clamped at both ends" (2011). Faculty Scholarship. 379.
https://digitalcommons.fau.edu/faculty_papers/379