EFFICIENT COMPUTING OF POTENTIAL FIELDS INDUCED BY POINT SOURCES IN THIN PERFORATED SHELL STRUCTURES

dc.contributor.advisorMelnikov, Yurien_US
dc.contributor.authorBorodin, Volodymyren_US
dc.contributor.committeememberKhaliq, Abdulen_US
dc.contributor.committeememberKoritsanszky, Tiboren_US
dc.contributor.committeememberRobertson, Williamen_US
dc.contributor.committeememberWallin, Johnen_US
dc.contributor.departmentBasic & Applied Sciencesen_US
dc.date.accessioned2014-12-19T19:01:40Z
dc.date.available2014-12-19T19:01:40Z
dc.date.issued2014-10-30en_US
dc.description.abstractPotential fields of various physical nature might significantly affect viability of structures in automobiles, aircraft, and other areas of contemporary engineering. That is why accurate analysis of potential fields, occurring in elements of structures, is required for the exploration of conditions of their predetermined functioning. Thermoelasticity, for example, is a specific branch of natural sciences where information about thermal fields is especially critical. Fields induced by point sources represent an important particular case quite often occurring in reality.en_US
dc.description.abstractThe present project aims at the investigation of potential fields in thin shell structures made of conductive materials. Our manual is conditionally viewed as consisting of three segments, the first of which deals with point sources in single shell fragments of standard geometry (cylindrical, spherical, toroidal, etc.). The second segment is devoted to joint shell structures composed of fragments of different geometries, whilst single fragments and joint structures weakened with apertures are considered in the last segment.en_US
dc.description.abstractThe Green's function formalism constitutes theoretical background of our work. Exploring potential fields generated by point sources in single shell fragments, we use the Green's function method, possibility of which implementation had been advocated, for this class of problems, a few decades ago. We have further developed this approach by obtaining computer-friendly representations of Green's functions for a broad variety of boundary-value problems stated for the Laplace equation written in geographical coordinates.en_US
dc.description.abstractIn approaching solid joint shell structures, the classical Green's function formalism fails. We turn therefore to the matrix of Green's type notion also introduced awhile ago, and our focus is on obtaining readily computable matrices for a score of structures.en_US
dc.description.abstractA Green's function-based algorithm, that allows an accurate computation of potential fields induced in shell structures weakened with apertures, is developed.en_US
dc.description.degreePh.D.en_US
dc.identifier.urihttp://jewlscholar.mtsu.edu/handle/mtsu/4328
dc.publisherMiddle Tennessee State Universityen_US
dc.subjectBoundary integral equation methen_US
dc.subjectGreen's functionen_US
dc.subjectPotential fieldsen_US
dc.subjectSurfaces of revolutionen_US
dc.subject.umiApplied mathematicsen_US
dc.thesis.degreegrantorMiddle Tennessee State Universityen_US
dc.thesis.degreelevelDoctoralen_US
dc.titleEFFICIENT COMPUTING OF POTENTIAL FIELDS INDUCED BY POINT SOURCES IN THIN PERFORATED SHELL STRUCTURESen_US
dc.typeDissertationen_US

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