Journal ArticleDOI
Chaos prediction in MEMS-NEMS resonators
TLDR
In this paper, a novel method is proposed for prediction of the chaos in the micro- and nano-electro-mechanical resonators based on the proposed method, first an accurate analytical solution for the dynamics behavior of the nano-resonators is derived using the multiple scales method up to the second order.About:
This article is published in International Journal of Engineering Science.The article was published on 2014-09-01. It has received 65 citations till now. The article focuses on the topics: Chaotic & Bifurcation diagram.read more
Citations
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Journal ArticleDOI
Exact solution of Eringen's nonlocal integral model for vibration and buckling of Euler–Bernoulli beam
Meral Tuna,Mesut Kirca +1 more
TL;DR: In this paper, the buckling and vibration characteristics of non-local Euler-Bernoulli beams were examined by solving the original integral constitutive equation, and the results were compared with those from the literature.
Journal ArticleDOI
Nonlinear dynamics of MEMS/NEMS resonators: analytical solution by the homotopy analysis method
TL;DR: In this article, the authors proposed a homotopy analysis method (HAM) approach for derivation of analytical solutions for the frequency response of the resonators, and applied the HAM to the proposed Duffing equation, and through this procedure, they derived the first-order and second-order HAM-based analytical solutions.
Journal ArticleDOI
Chaos Analysis-Based Adaptive Backstepping Control of the Microelectromechanical Resonators With Constrained Output and Uncertain Time Delay
Shaohua Luo,Yongduan Song +1 more
TL;DR: The tangent barrier Lyapunov function is used to develop a control scheme for the microelectromechanical resonators capable of preventing output constraint violation and an adaptive neural network is employed to approximate uncertain nonlinear item in the framework of backstepping.
Journal ArticleDOI
Modeling the nonlinear pull-in behavior of tunable nano-switches
TL;DR: In this article, the pull-in behavior of double-sided cantilever nano-wires, including the Casimir and partial electrostatic attractions, was investigated and the Galerkin method was used to discretize the differential EOM and the step-by-step linearization method was employed to solve them numerically.
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Static bifurcation and primary resonance analysis of a MEMS resonator actuated by two symmetrical electrodes
TL;DR: In this article, the static and dynamic characteristics of a doubly clamped micro-beam-based resonator driven by two electrodes were investigated, which is essentially nonlinear due to its cubic stiffness and electrostatic force.
References
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Nonlinear behaviour of electrically actuated MEMS resonators
TL;DR: In this paper, the authors investigated the nonlinear size-dependent behavior of an electrically actuated MEMS resonator based on the modified couple stress theory; the microbeam is excited by an AC voltage which is superimposed on a DC voltage.
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Modelling the dynamics of a MEMS resonator : simulations and experiments
TL;DR: In this paper, a nonlinear dynamic model is proposed to capture the observed behavior of MEMS silicon resonators, and the effect of thermal noise is also estimated based on experimental results.
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Experiments on Chaotic Motions of a Forced Nonlinear Oscillator: Strange Attractors
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Chaos prediction and control in MEMS resonators
TL;DR: In this paper, the chaotic dynamics of a micro mechanical resonator with electrostatic forces on both sides is investigated using the Melnikov function, an analytical criterion for homoclinic chaos in the form of an inequality is written in terms of the system parameters.