Analytical solutions of the electrostatically actuated curled beam problem

Handle URI:
http://hdl.handle.net/10754/564962
Title:
Analytical solutions of the electrostatically actuated curled beam problem
Authors:
Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
This works presents analytical expressions of the electrostatically actuated initially deformed cantilever beam problem. The formulation is based on the continuous Euler-Bernoulli beam model combined with a single-mode Galerkin approximation. We derive simple analytical expressions for two commonly observed deformed beams configurations: the curled and tilted configurations. The derived analytical formulas are validated by comparing their results to experimental data and numerical results of a multi-mode reduced order model. The derived expressions do not involve any complicated integrals or complex terms and can be conveniently used by designers for quick, yet accurate, estimations. The formulas are found to yield accurate results for most commonly encountered microbeams of initial tip deflections of few microns. For largely deformed beams, we found that these formulas yield less accurate results due to the limitations of the single-mode approximation. In such cases, multi-mode reduced order models are shown to yield accurate results. © 2014 Springer-Verlag Berlin Heidelberg.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
Springer Science + Business Media
Journal:
Microsystem Technologies
Conference/Event name:
Nanotechnology 2014: MEMS, Fluidics, Bio Systems, Medical, Computational and Photonics - 2014 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2014
Issue Date:
24-Jul-2014
DOI:
10.1007/s00542-014-2264-y
Type:
Conference Paper
ISBN:
9781482258271
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2015-08-04T07:26:23Zen
dc.date.available2015-08-04T07:26:23Zen
dc.date.issued2014-07-24en
dc.identifier.isbn9781482258271en
dc.identifier.doi10.1007/s00542-014-2264-yen
dc.identifier.urihttp://hdl.handle.net/10754/564962en
dc.description.abstractThis works presents analytical expressions of the electrostatically actuated initially deformed cantilever beam problem. The formulation is based on the continuous Euler-Bernoulli beam model combined with a single-mode Galerkin approximation. We derive simple analytical expressions for two commonly observed deformed beams configurations: the curled and tilted configurations. The derived analytical formulas are validated by comparing their results to experimental data and numerical results of a multi-mode reduced order model. The derived expressions do not involve any complicated integrals or complex terms and can be conveniently used by designers for quick, yet accurate, estimations. The formulas are found to yield accurate results for most commonly encountered microbeams of initial tip deflections of few microns. For largely deformed beams, we found that these formulas yield less accurate results due to the limitations of the single-mode approximation. In such cases, multi-mode reduced order models are shown to yield accurate results. © 2014 Springer-Verlag Berlin Heidelberg.en
dc.publisherSpringer Science + Business Mediaen
dc.titleAnalytical solutions of the electrostatically actuated curled beam problemen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalMicrosystem Technologiesen
dc.conference.date15 June 2014 through 18 June 2014en
dc.conference.nameNanotechnology 2014: MEMS, Fluidics, Bio Systems, Medical, Computational and Photonics - 2014 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2014en
dc.conference.locationWashington, DCen
kaust.authorYounis, Mohammad I.en
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