NDLI: A new electrostatic load model for initially curved carbon nanotube resonators: pull-in characteristics and nonlinear resonant behaviour

Content Provider	Springer Nature Link
Author	Farokhi, Hamed Misra, Arun K. Païdoussis, Michael P.
Copyright Year	2017
Abstract	A new nonlinear electrostatic load model for initially curved clamped–clamped carbon nanotube (CNT) resonators is developed in this study. In particular, first a 3D finite element analysis is performed in order to obtain the electrostatic force distribution on a clamped–clamped CNT resonator (with and without initial curvature). A nonlinear model for the electrostatic load is then developed based on the 3D finite element analysis results. Based on the newly developed electrostatic load model, the nonlinear equations of motion of the initially curved CNT resonator are derived employing Hamilton’s principle together with the modified couple stress theory. Moreover, the Kelvin–Voigt viscoelastic model is employed to model the energy dissipation. The new nonlinear model of the system, consisting of two strongly nonlinear coupled partial differential equations, is discretized into a set of nonlinear ordinary differential equations via Galerkin’s technique, and solved employing the pseudo-arclength continuation method. The numerical results are obtained for both static and dynamic cases, with special focus on the static pull-in behaviour and on the effects of the newly developed electrostatic load model, viscoelasticity, initial curvature, and length-scale parameter on the nonlinear resonant response.
Starting Page	1187
Ending Page	1211
Page Count	25
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	88
Issue Number	2
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2017-01-13
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Electrostatic force distribution Carbon nanotube resonator Nonlinear behaviour Viscoelastic model Modified couple stress theory Finite element analysis Vibration, Dynamical Systems, Control Classical Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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