MULTISTABILITY AND BIFURCATION TOPOLOGY IN ELECTROSTATICALLY COUPLED NANOBEAMS UNDER PARAMETRIC RESONANCE

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TitreMULTISTABILITY AND BIFURCATION TOPOLOGY IN ELECTROSTATICALLY COUPLED NANOBEAMS UNDER PARAMETRIC RESONANCE
Type de publicationConference Paper
Year of Publication2017
AuteursBitar D, Kacem N, Bouhaddi N
Conference NamePROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 4
PublisherASME, Design Engn Div; ASME, Comp & Informat Engn Div
Conference LocationTHREE PARK AVENUE, NEW YORK, NY 10016-5990 USA
ISBN Number978-0-7918-5816-5
Résumé

The collective nonlinear dynamics of electrostatically coupled nanobeams under parametric excitation is modeled and investigated, while including the main sources of nonlinearities up to the fifth order. The normalized nonlinear differential equations are solved using secular perturbation theory. Numerical simulations have been performed using the Asymptotic Numerical Method for two and three coupled nanobeams. It is shown that, the fifth order nonlinearity leads to an increase in the number of multimodal solutions and their complexity in term of bifurcation topology. This model can be exploited to design arrays of NEMS with high performances for sensing applications.