Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches

A Master of Science thesis in Mechanical Engineering by Zakaria Saibaa entitled, “Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches”, submitted in November 2025. Thesis advisor is Dr. Mehdi Ghommem and thesis co-advisor is Dr. Nouha Alcheikh. Soft copy is available (Thes...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Saibaa, Zakaria (author)
التنسيق: doctoralThesis
منشور في: 2025
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/11073/33615
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author Saibaa, Zakaria
author_facet Saibaa, Zakaria
author_role author
dc.contributor.none.fl_str_mv Ghommem, Mehdi
Alcheikh, Nouha
dc.creator.none.fl_str_mv Saibaa, Zakaria
dc.date.none.fl_str_mv 2025-11
2026-07-02T06:48:41Z
2026-07-02T06:48:41Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv 35.232-2025.80
https://hdl.handle.net/11073/33615
dc.language.none.fl_str_mv en_US
dc.relation.none.fl_str_mv Master of Science in Mechanical Engineering (MSME)
dc.subject.none.fl_str_mv MEMS resonator
Highly-curved arch beam
Mode localization
Secondary resonance
Pressure sensing
dc.title.none.fl_str_mv Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/doctoralThesis
description A Master of Science thesis in Mechanical Engineering by Zakaria Saibaa entitled, “Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches”, submitted in November 2025. Thesis advisor is Dr. Mehdi Ghommem and thesis co-advisor is Dr. Nouha Alcheikh. Soft copy is available (Thesis, Completion Certificate, Approval Signatures, and AUS Archives Consent Form).
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spelling Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved ArchesSaibaa, ZakariaMEMS resonatorHighly-curved arch beamMode localizationSecondary resonancePressure sensingA Master of Science thesis in Mechanical Engineering by Zakaria Saibaa entitled, “Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches”, submitted in November 2025. Thesis advisor is Dr. Mehdi Ghommem and thesis co-advisor is Dr. Nouha Alcheikh. Soft copy is available (Thesis, Completion Certificate, Approval Signatures, and AUS Archives Consent Form).This thesis investigates the linear and nonlinear dynamic behavior of a highly curved, electrostatically actuated MEMS arch resonator and demonstrates its application as a tunable, high-sensitivity pressure sensor. The device is designed based on a comprehensive parametric study of curvature, thickness, and length with an ultimate goal to bring the first antisymmetric and symmetric modes into close proximity and exploit their associated interactions. A finite element (FEM) model is developed and validated. The microbeam’s dynamic response is characterized experimentally using a Laser Doppler Vibrometer setup. In the linear regime, the close spacing between the first two modes facilitates the activation of mode localization when the structure is under varying pressure levels. Tracking the differential frequency between the first antisymmetric and first symmetric modes yields a pressure sensitivity of 174.6 ppm/Torr in the (100 - 760 Torr) range with excellent linearity (R² = 0.9916), significantly exceeding the sensitivities associated with the individual modes. Amplitude-based metric further enhances the sensing performance, reaching 1144.33 ppm/Torr (R² = 0.9951) in the 100-400 Torr range. At lower pressures, the device transitions into a nonlinear regime where a distinct secondary (superharmonic) resonance associated with the third mode emerges. This nonlinear resonance exhibits significantly stronger pressure dependence, achieving sensitivities as high as 1.7×10⁴ ppm/Torr (R² = 0.9901) for differential frequency metrics within the 7–20 Torr pressure range. Moreover, the onset and disappearance of the superharmonic response are shown to be tunable through DC voltage electrostatic loading, enabling active control over the operating range and offering an additional degree of adaptability for sensing applications. Overall, this work demonstrates a single-structure MEMS resonator capable of tunable sensitivity, wide dynamic range, and high stability across linear and nonlinear regimes, establishing it as a strong candidate for compact, high-performance vacuum pressure sensing applications.College of EngineeringDepartment of Mechanical EngineeringMaster of Science in Mechanical Engineering (MSME)Ghommem, MehdiAlcheikh, Nouha2026-07-02T06:48:41Z2026-07-02T06:48:41Z2025-11info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf35.232-2025.80https://hdl.handle.net/11073/33615en_USMaster of Science in Mechanical Engineering (MSME)oai:repository.aus.edu:11073/336152026-07-03T05:52:00Z
spellingShingle Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
Saibaa, Zakaria
MEMS resonator
Highly-curved arch beam
Mode localization
Secondary resonance
Pressure sensing
status_str publishedVersion
title Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
title_full Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
title_fullStr Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
title_full_unstemmed Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
title_short Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
title_sort Static and Dynamic Analysis of Electrostatically Actuated Highly-Curved Arches
topic MEMS resonator
Highly-curved arch beam
Mode localization
Secondary resonance
Pressure sensing
url https://hdl.handle.net/11073/33615