Electrical analogs for plate equations and their applications in mechanical vibration suppression by P.Z.T. actuators

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dc.contributor.authorAlessandroni, Silvioen
dc.contributor.committeechairHenneke, Edmund G. IIen
dc.contributor.committeememberBatra, Romesh C.en
dc.contributor.committeememberMorris, Don H.en
dc.contributor.committeememberdell'Isola, Francescoen
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2014-03-14T20:50:54Zen
dc.date.adate2001-01-16en
dc.date.available2014-03-14T20:50:54Zen
dc.date.issued2000-12-12en
dc.date.rdate2002-01-16en
dc.date.sdate2000-12-30en
dc.description.abstractBefore the beginning of digital-computers era, a lot of research was carried out in order to find electric circuits the governing equations of which were analogous to the ones of mechanical systems. The mentioned circuits were called ectro-mechanical analogs. They were used as analogical computers for the simulation and the design of mechanical systems. The actual technological development of piezoelectric actuators, which are devices able to efficiently transduce energy between the electrical and mechanical form, induced us to consider again those electro-mechanical analogs in order to create coupled piezo-electro-mechanical systems. Our idea is that the coupling between electro-mechanical phenomena is maximum when the propagation of both electrical and mechanical waves are governed by similar equations. Let us remark that because of the propagating mechanical wave-speed is much lower than the light-speed for every material, it is not possible to search for an efficient electro-mechanical coupling inside a piezoelectric continuum. Consequently circuits able to support the propagation of electric-potential waves have been considered. In this work, the equations for the elastica and for the plate are considered and their circuital analogs are derived using their finite-difference approximation. Afterwards, the coupling between the two structures is modelled considering piezoelectric actuators uniformly distributed on the mechanical system and connected to the nodes of the electric circuit. Then the electro-mechanical coupled equations are derived, and an analytical solution is found for a particular case. Finally some numerical simulations showing the efficiently energy exchange is presented.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-12302000-105707en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12302000-105707/en
dc.identifier.urihttp://hdl.handle.net/10919/36484en
dc.publisherVirginia Techen
dc.relation.haspartmasters.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectpiezoelectric actuatorsen
dc.subjectelectrical networksen
dc.subjectvibration controlen
dc.subjectdistributed controlen
dc.subjectelectrical analogsen
dc.titleElectrical analogs for plate equations and their applications in mechanical vibration suppression by P.Z.T. actuatorsen
dc.typeThesisen
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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