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dc.contributor.authorHasanyan, Jalil Davreshen_US
dc.date.accessioned2019-02-08T09:00:30Z
dc.date.available2019-02-08T09:00:30Z
dc.date.issued2019-02-07
dc.identifier.othervt_gsexam:18887en_US
dc.identifier.urihttp://hdl.handle.net/10919/87530
dc.description.abstractA wide range of physical systems are modeled as axially moving strings; such examples are belts, tapes, wires and fibers with applied electromagnetic fields. In this study, we propose a model that describes the motion of a current-carrying conductive string in a lateral magnetic field, while it is being pulled axially. This model is a generalization of past studies that have neglected one or more properties featured in our system. It is assumed that the string is moving with a constant velocity between two rings that are a finite distance apart. Directions of the magnetic field and the motion of the string coincide. The problem is first considered in a static setting. Stability critical values of the magnetic field, pulling speed, and current are shown to exist when the uniform motion (along a string line) of the string buckles into spiral forms. In the dynamic setting, conditions for stability of certain solutions are presented and discussed. It is shown that there is a divergence between the critical values in the linear dynamic and static cases. Furthermore, traveling wave solutions are examined for certain cases of our general system. We develop an approximate solution for a nonlinear moving string when a periodic nonstationary current flows through the string. Domains of parameters are defined when the string falls into a pre-chaotic state, i.e., the frequency of vibrations is doubled.en_US
dc.format.mediumETDen_US
dc.publisherVirginia Techen_US
dc.rightsThis item is protected by copyright and/or related rights. Some uses of this item may be deemed fair and permitted by law even without permission from the rights holder(s), or the rights holder(s) may have licensed the work for use under certain conditions. For other uses you need to obtain permission from the rights holder(s).en_US
dc.subjectCurrent-carrying stringen_US
dc.subjectstabilityen_US
dc.subjectmodelingen_US
dc.subjectmagnetic fielden_US
dc.subjectresonance vibrationsen_US
dc.titleMODELING AND ANALYSIS OF A MOVING CONDUCTIVE STRING IN A MAGNETIC FIELDen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMSen_US
thesis.degree.nameMSen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairZietsman, Lizetteen_US
dc.contributor.committeememberBurns, John Aen_US
dc.contributor.committeememberEmbree, Mark Particken_US


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