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...

Full description

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
_version_ 1818409846893969408
author Qingmei Gong
Canchang Liu
Yingzi Xu
Chicheng Ma
Jilei Zhou
Ruirui Jiang
Changcheng Zhou
author_facet Qingmei Gong
Canchang Liu
Yingzi Xu
Chicheng Ma
Jilei Zhou
Ruirui Jiang
Changcheng Zhou
author_sort Qingmei Gong
collection DOAJ
description 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.
first_indexed 2024-12-14T10:06:07Z
format Article
id doaj.art-42886775374e40fa9f06796db246d5e4
institution Directory Open Access Journal
issn 1461-3484
2048-4046
language English
last_indexed 2024-12-14T10:06:07Z
publishDate 2018-06-01
publisher SAGE Publishing
record_format Article
series Journal of Low Frequency Noise, Vibration and Active Control
spelling doaj.art-42886775374e40fa9f06796db246d5e42022-12-21T23:07:08ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462018-06-013710.1177/1461348417725953Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeamQingmei GongCanchang LiuYingzi XuChicheng MaJilei ZhouRuirui JiangChangcheng ZhouThe 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.https://doi.org/10.1177/1461348417725953
spellingShingle Qingmei Gong
Canchang Liu
Yingzi Xu
Chicheng Ma
Jilei Zhou
Ruirui Jiang
Changcheng Zhou
Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
Journal of Low Frequency Noise, Vibration and Active Control
title Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
title_full Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
title_fullStr Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
title_full_unstemmed Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
title_short Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
title_sort nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam
url https://doi.org/10.1177/1461348417725953
work_keys_str_mv AT qingmeigong nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT canchangliu nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT yingzixu nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT chichengma nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT jileizhou nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT ruiruijiang nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam
AT changchengzhou nonlinearvibrationcontrolwithnanocapacitivesensorforelectrostaticallyactuatednanobeam