Dynamic Instability of Nanorods/Nanotubes Subjected to an End Follower Force
Publication: Journal of Engineering Mechanics
Volume 136, Issue 8
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.
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Acknowledgments
The work described in this paper was funded by a research grant from National University of Singapore (RP Grant No. UNSPECIFIED264-000-169-112) and a College of Health and Science cross-disciplinary research grant from University of Western Sydney (Grant No. UNSPECIFIED20701-71664). The writers are also grateful to Professor Y. Sugiyama for the useful discussion on the flutter mode shape of the Beck column.
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Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 8 • August 2010
Pages: 1054 - 1058
Copyright
© 2010 ASCE.
History
Received: Jan 5, 2009
Accepted: Jan 4, 2010
Published online: Jan 6, 2010
Published in print: Aug 2010
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