Free vibration of the triple-walled carbon nanotubes

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

Conference Proceeding

Publication/Event/Conference Title

ASME International Mechanical Engineering Congress and Exposition Proceedings

Publication Status

Version of Record

Abstract

Natural frequencies of the triple-walled carbon nanotubes (TWCNTs) are determined both exactly and approximately. For the case of TWCNT which is simply supported at it ends closed-form solutions are obtained. It is shown that there are three series of natural frequencies corresponding to the cubic polynomial equation for natural frequency squares. For the TWCNT that has other boundary conditions approximate Bubnov-Galerkin and Petrov-Galerkin methods are applied. Simple polynomial coordinate functions are utilized. Each of these methods yields three natural frequencies corresponding to the lower and of each frequency spectra. Copyright © 2010 by ASME.

First Page

645

Last Page

653

DOI

10.1115/IMECE2009-10265

Publication Date

1-1-2010

This document is currently not available here.

Share

COinS