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Nonlinear size-dependent modeling and dynamics of nanocrystalline arc resonators

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journal contribution
posted on 29.11.2021, 14:23 by Amal HajjajAmal Hajjaj, Jonathan Ortiz, Abdessattar Abdelkefi
The adequate modeling of the micro/nano arc resonators' dynamics is vital for their successful implementation. Here, a size-dependent model, wherein material structure, porosity, and micro-rotation effects of the grains are considered, is derived by combining the couple stress theory, multi-phase model, and the classical Euler–Bernoulli beam model, aiming to characterize the frequency tunability of micro/nano arc resonators as monitoring either the axial load or the electrostatic force for the first time. The arc dimensions are optimized to show various phenomena in the same arc, namely snap-through, crossing, and veering. The first three natural frequencies are monitored, showing the size dependency on the frequency tuning, snap-through/back, and pull-in instability as shrinking the scale from micro- to nano-scale. Significant changes in the static snap-through and pull-in voltages and the resonance frequencies were shown as scale shrinks. A dynamic analysis of the resonator's vibration shows a dramatic effect of the size-dependency as shrinking dimensions around the veering zone.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Published in

International Journal of Mechanics and Materials in Design

Volume

18

Issue

1

Pages

105 - 123

Publisher

Springer

Version

VoR (Version of Record)

Rights holder

© The authors

Publisher statement

This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

07/10/2021

Publication date

2021-10-28

Copyright date

2021

ISSN

1569-1713

eISSN

1573-8841

Language

en

Depositor

Deposit date: 29 November 2021