Nonlinear polarization coupling in freestanding nanowire/nanotube resonators
TypeArticles dans des revues avec comité de lecture
In this work, we study the nonlinear coupling between the transverse modes of nanoresonators such as nanotubes or nanowires in a singly clamped configuration. We previously showed that at high driving, this coupling could result in a transition from independent planar modes to a locked elliptical motion, with important modifications of the resonance curves. Here, we clarify the physical origins, associated with a 1:1 internal resonance, and study in depth this transition as a function of the relevant parameters. We present simple formulae that permit to predict the emergence of this transition as a function of the frequency difference between the polarizations and the nonlinear coefficients and give the “backbone curves” corresponding to the elliptical regime. We also show that the elliptical regime is associated with the emergence of a new set of solutions of which one branch is stable. Finally, we compare single and double clamped configurations and explain why the elliptical transition appears on different polarizations.
Showing items related by title, author, creator and subject.
Finite element reduced order models for nonlinear vibrations of piezoelectric layered beams with applications to NEMS LAZARUS, Arnaud; THOMAS, Olivier; DEÜ, Jean-François (Elsevier, 2012)This article presents a finite element reduced order model for the nonlinear vibrations of piezoelectric layered beams with application to NEMS. In this model, the geometrical nonlinearities are taken into account through ...
HEKTOR, Johan; MARIJON, Jean-Baptiste; RISTINMAA, Matti; HALL, Stephen A.; HALLBERG, Håkan; SRINIVASAN, Iyengar; MICHA, Jean-Sébastien; ROBACH, Odile; GRENNERAT, Fanny; CASTELNAU, Olivier (Elsevier, 2018)We have used Differential Aperture X-ray Microscopy (DAXM) to measure grain orientations and deviatoric elastic strains in 3D around a tin whisker. The results show strain gradients through the depth of the tin coating, ...
LORONG, Philippe; LARUE, Arnaud; PERE-DUARTE, Alexis (2011)The numerical simulation of machining process is a key factor in the control of parts machining process. Its development aims at improving the process reliability and reduces the time spent during the process planning ...
CHRISTOFOL, Hervé; CORSI, Patrick; CRUBLEAU, Pascal; DELAMARRE, Anthony; SAMIER, Henri (Congrès International de Génie Industriel, 2011)Abstract – Innovation is a complex process more than one way. The organization of the preliminary phases of innovation projects mobilizing interdisciplinary teams that implement a variety of methods. The authors' research ...
Thermal study of an aluminium nitride ceramic heater for spray CVD on glass substrates by quantitative thermography RIOU, Olivier; LOGERAIS, Pierre-Olivier; FROGER, Vincent; DURASTANTI, Jean-Félix; BOUTEVILLE, Anne (Taylor & Francis, 2013)A thermographic approach is used to determine the temperature of an aluminium nitride hot plate as a glass substrate heater for depositing thin films by spray CVD (Chemical Vapour Deposition). In this context, the temperature ...