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Anharmonic vibrations of a nano-sized oscillator with fractional damping

✍ Scribed by G.E. Drăgănescu; L. Bereteu; A. Ercuţa; G. Luca

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 166 KB
Volume: 15
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.05.006

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✦ Synopsis

We investigate the nonlinear vibrations of nano-sized cantilever. The elastic force is considered anharmonic, deriving from a Morse potential and the nonlinearity is attributed to the Casimir force. We consider two cases, the first of viscous damping and the second of fractional damping.

The solution is also established by using the Adomian decomposition method.