Approaches for Reduced Order Modeling of Electrically Actuated von Karman Microplates

Handle URI:
http://hdl.handle.net/10754/618218
Title:
Approaches for Reduced Order Modeling of Electrically Actuated von Karman Microplates
Authors:
Saghir, Shahid ( 0000-0001-8045-0228 ) ; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
This article presents and compares different approaches to develop reduced order models for the nonlinear von Karman rectangular microplates actuated by nonlinear electrostatic forces. The reduced-order models aim to investigate the static and dynamic behavior of the plate under small and large actuation forces. A fully clamped microplate is considered. Different types of basis functions are used in conjunction with the Galerkin method to discretize the governing equations. First we investigate the convergence with the number of modes retained in the model. Then for validation purpose, a comparison of the static results is made with the results calculated by a nonlinear finite element model. The linear eigenvalue problem for the plate under the electrostatic force is solved for a wide range of voltages up to pull-in. Results among the various reduced-order modes are compared and are also validated by comparing to results of the finite-element model. Further, the reduced order models are employed to capture the forced dynamic response of the microplate under small and large vibration amplitudes. Comparison of the different approaches are made for this case. Keywords: electrically actuated microplates, static analysis, dynamics of microplates, diaphragm vibration, large amplitude vibrations, nonlinear dynamics
KAUST Department:
Mechanical Engineering Program
Citation:
Approaches for Reduced Order Modeling of Electrically Actuated von Karman Microplates 2016 Journal of Computational and Nonlinear Dynamics
Publisher:
ASME International
Journal:
Journal of Computational and Nonlinear Dynamics
Issue Date:
25-Jul-2016
DOI:
10.1115/1.4034271
Type:
Article
ISSN:
1555-1415
Additional Links:
http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?doi=10.1115/1.4034271
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorSaghir, Shahiden
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2016-08-10T12:44:21Z-
dc.date.available2016-08-10T12:44:21Z-
dc.date.issued2016-07-25-
dc.identifier.citationApproaches for Reduced Order Modeling of Electrically Actuated von Karman Microplates 2016 Journal of Computational and Nonlinear Dynamicsen
dc.identifier.issn1555-1415-
dc.identifier.doi10.1115/1.4034271-
dc.identifier.urihttp://hdl.handle.net/10754/618218-
dc.description.abstractThis article presents and compares different approaches to develop reduced order models for the nonlinear von Karman rectangular microplates actuated by nonlinear electrostatic forces. The reduced-order models aim to investigate the static and dynamic behavior of the plate under small and large actuation forces. A fully clamped microplate is considered. Different types of basis functions are used in conjunction with the Galerkin method to discretize the governing equations. First we investigate the convergence with the number of modes retained in the model. Then for validation purpose, a comparison of the static results is made with the results calculated by a nonlinear finite element model. The linear eigenvalue problem for the plate under the electrostatic force is solved for a wide range of voltages up to pull-in. Results among the various reduced-order modes are compared and are also validated by comparing to results of the finite-element model. Further, the reduced order models are employed to capture the forced dynamic response of the microplate under small and large vibration amplitudes. Comparison of the different approaches are made for this case. Keywords: electrically actuated microplates, static analysis, dynamics of microplates, diaphragm vibration, large amplitude vibrations, nonlinear dynamicsen
dc.language.isoenen
dc.publisherASME Internationalen
dc.relation.urlhttp://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?doi=10.1115/1.4034271en
dc.rightsArchived with thanks to Journal of Computational and Nonlinear Dynamicsen
dc.titleApproaches for Reduced Order Modeling of Electrically Actuated von Karman Microplatesen
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalJournal of Computational and Nonlinear Dynamicsen
dc.eprint.versionPost-printen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorSaghir, Shahiden
kaust.authorYounis, Mohammad I.en
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