Dynamic instability of nanorods/nanotubes subjected to an end follower force

Xiang, Y., Wang, C. M., Kitipornchai, S. and Wang, Q. (2010) Dynamic instability of nanorods/nanotubes subjected to an end follower force. Journal of Engineering Mechanics, 136 8: 1054-1058. doi:10.1061/(ASCE)EM.1943-7889.0000135


Author Xiang, Y.
Wang, C. M.
Kitipornchai, S.
Wang, Q.
Title Dynamic instability of nanorods/nanotubes subjected to an end follower force
Journal name Journal of Engineering Mechanics   Check publisher's open access policy
ISSN 0733-9399
1943-7889
Publication date 2010-01-01
Year available 2010
Sub-type Article (original research)
DOI 10.1061/(ASCE)EM.1943-7889.0000135
Volume 136
Issue 8
Start page 1054
End page 1058
Total pages 5
Place of publication Reston, VA United States
Publisher American Society of Civil Engineers
Collection year 2010
Language eng
Subject 2210 Mechanical Engineering
2211 Mechanics of Materials
Abstract This paper presents an investigation on the dynamic instability of cantilevered nanorods/nanotubes subjected to an end follower force. Eringen's nonlocal elasticity theory is employed to allow for the small length scale effect in the considered dynamic instability problem. The general solution for the governing differential equation is obtained and the dynamic instability characteristic equation is derived by applying the boundary conditions. Exact critical load factors are obtained. These nonlocal solutions are compared with the classical local solutions to assess the sensitivity of the small length scale effect on the critical load factors and flutter mode shapes. It is found that the small length scale effect decreases the critical load and the corresponding frequency parameters as well as reduces the severity of the double-curvature flutter mode shape.
Keyword Dynamic stability
Follower force
Nanorods/nanotubes
Nonlocal beam theory
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Wed, 29 Oct 2014, 21:49:42 EST by Jeannette Watson on behalf of School of Civil Engineering