Modeling and Simulation of MEMS Devices

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dc.contributor.authorZhao, Xiaopengen
dc.contributor.committeechairNayfeh, Ali H.en
dc.contributor.committeememberDankowicz, Harry J.en
dc.contributor.committeememberHendricks, Scott L.en
dc.contributor.committeememberMasoud, Ziyad N.en
dc.contributor.committeememberWoolsey, Craig A.en
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2011-08-22T19:03:37Zen
dc.date.adate2004-08-19en
dc.date.available2011-08-22T19:03:37Zen
dc.date.issued2004-08-11en
dc.date.rdate2004-08-19en
dc.date.sdate2004-08-12en
dc.description.abstractThe objective of this dissertation is to present a modeling and simulation methodology for MEMS devices and identify and understand the associated nonlinearities due to large deflections, electric actuation, impacts, and friction. In the first part of the dissertation, we introduce a reduced-order model of flexible microplates under electric excitation. The model utilizes the von Karman plate equations to account for geometric nonlinearities due to large plate deflections. The Galerkin approach is employed to reduce the partial-differential equations of motion and associated boundary conditions into a finite dimensional system of nonlinearly coupled ordinary-differential equations. We use the reduced-order model to analyze the mechanical behavior of a simply supported microplate and a fully clamped microplate. Effect of various design parameters on both the static and dynamic characteristics of microplates is studied. The second part of the dissertation presents comprehensive modeling and simulation tools for impact microactuators. Nonsmooth dynamics due to impacts and friction are studied, combining various approaches, including direct numerical integration, root-finding technique for periodic motions, continuation of grazing periodic orbits, and local analysis of the near grazing dynamics. The transition between nonimpacting and impacting long term motions, referred to as grazing bifurcations, indicates the transition between on and off states of an impact microactuator. Three different on-off switching mechanisms are identified for the Mita microactuator. These mechanisms also generalize to arbitrary impacting systems with a similar nonlinearity. A local map based on the concept of discontinuity mapping provides an effcient and accurate tool for the grazing bifurcation analysis. Nonlinear impacting dynamics of the microactuator are studied in detail to identify various bifurcations and parameter ranges corresponding to chaotic motions. We find that the frequency-response curves of the impacting dynamics are significantly different from those of the nonimpacting dynamics.en
dc.description.degreePh. D.en
dc.format.mediumETDen
dc.identifier.otheretd-08122004-151112en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-08122004-151112en
dc.identifier.urihttp://hdl.handle.net/10919/11227en
dc.publisherVirginia Techen
dc.relation.haspartdissertation.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectDiscontinuity Mappingsen
dc.subjectNonsmooth Dynamicsen
dc.subjectReduced-Order Modelingen
dc.subjectFinite element methoden
dc.subjectMEMSen
dc.titleModeling and Simulation of MEMS Devicesen
dc.typeDissertationen
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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