Journal
COMPOSITES PART B-ENGINEERING
Volume 42, Issue 4, Pages 934-937Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compositesb.2010.12.026
Keywords
Nano-structures; Surface properties; Vibration; Analytical modeling
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The nonlinear flexural vibrations of micro- and nanobeams in presence of surface effects are studied within the framework of Euler-Bernoulli beam theory including the von Karman geometric nonlinearity. Exact solution is obtained for the natural frequencies of a simply-supported nanobeam in terms of the Jacobi elliptic functions by using the free vibration modes of the corresponding linear problem. Numerical results include the normalized natural frequencies of vibration as functions of mode number, vibration amplitude, and nanobeam length and thickness. Also, the influence of surface effects on the system phase trajectory is considered. (C) 2011 Elsevier Ltd. All rights reserved.
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