Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam

The model of a clamped–clamped Euler–Bernoulli beam is presented in order to study nonlinear vibration control of electrostatically actuated nanobeam with nanocapacitive sensor, considering primary and superharmonic resonances. The capacitance of nanobeam capacitor changes with the nanobeam deformat...

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Bibliographic Details
Main Authors: Qingmei Gong, Canchang Liu, Yingzi Xu, Chicheng Ma, Jilei Zhou, Ruirui Jiang, Changcheng Zhou
Format: Article
Language:English
Published: SAGE Publishing 2018-06-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348417725953
Description
Summary:The model of a clamped–clamped Euler–Bernoulli beam is presented in order to study nonlinear vibration control of electrostatically actuated nanobeam with nanocapacitive sensor, considering primary and superharmonic resonances. The capacitance of nanobeam capacitor changes with the nanobeam deformation. The nanocapacitive sensor is applied to extract vibration signals and to transform enlarged signals into controller to control nanobeam vibrations. The method of multiple scales is used to obtain the first-order approximate solutions and derive the amplitude–frequency equation. The nonlinear vibration characteristics and amplitude–frequency response of nanobeam vibration system are studied under different excitation voltage, feedback gains, and damping. The relationships between amplitude and system parameters are discussed in detail. The presented analytical and numerical simulations show that dynamic response of nanobeam is stable when the appropriate parameters are chosen. This investigation provides a better understanding of the nonlinear vibration of nanoelectromechanical systems devices based on nanobeam.
ISSN:1461-3484
2048-4046