000015396 001__ 15396 000015396 005__ 20161115100220.0 000015396 04107 $$aeng 000015396 046__ $$k2016-08-21 000015396 100__ $$aFarokhi, Hamed 000015396 24500 $$aNonlinear behaviour of carbon nanotube-based resonators 000015396 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000015396 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000015396 506__ $$arestricted 000015396 520__ $$2eng$$aIn the present study, a new size-dependent nonlinear model is developed for analyzing the behaviour of carbon nanotube-based resonators. Molecular dynamics simulation is then performed in order to parametrize and validate the size-dependent continuum model at the nano scale. The equations of motion are discretized by means of the Galerkin technique and solved employing the pseudo-arclength continuation technique. A new universal pull-in formula is also developed for predicting the voltage corresponding to the static pull-in. 000015396 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000015396 653__ $$a 000015396 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000015396 720__ $$aFarokhi, Hamed 000015396 8560_ $$ffischerc@itam.cas.cz 000015396 8564_ $$s126651$$uhttps://invenio.itam.cas.cz/record/15396/files/TS.SM12-2.02.pdf$$yOriginal version of the author's contribution as presented on CD, page 2619, code TS.SM12-2.02 . 000015396 962__ $$r13812 000015396 980__ $$aPAPER