Symbolic and computational conjugate geometry for design and manufacturing applications

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dc.contributor.authorVoruganti, Ravinder Srinivasen
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:30:41Zen
dc.date.adate2009-03-03en
dc.date.available2014-03-14T21:30:41Zen
dc.date.issued1990en
dc.date.rdate2009-03-03en
dc.date.sdate2009-03-03en
dc.description.abstractDevelopment of a methodology of applying symbolic and computational models of conjugate geometry to several problems in design and manufacturing areas forms the basis of this study. The philosophy of this work is the development of generalized symbolic models for two-dimensional and three-dimensional conjugate geometry applications. The generalized models have been implemented using what seems to be the best tool for these kind of applications - a symbolic manipulation system. The unique feature of this research is reflected in the fruitful combination of the elegance of conjugate geometry theory and the inherent versatility of a symbolic manipulation system. The generalized conjugate geometry algorithms were programmed and run using MACSYMA. Typical cases in design of mechanisms have been studied using these symbolic programs. The manufacture of helically swept surfaces is of special interest to this work. Helically swept surfaces have been designed and three schemes of manufacturing these surfaces are presented here. Examples of these three schemes of manufacturing helically swept surfaces have been carried out using the symbolic program in MACSYMA. The results of all the examples have been presented both analytically and graphically.en
dc.description.degreeMaster of Scienceen
dc.format.extentviii, 105 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-03032009-041021en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-03032009-041021/en
dc.identifier.urihttp://hdl.handle.net/10919/41384en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1990.V673.pdfen
dc.relation.isformatofOCLC# 23116850en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1990.V673en
dc.subject.lcshEnvelopes (Geometry) -- Industrial applicationsen
dc.subject.lcshMechanical movements -- Designen
dc.subject.lcshMilling cutters -- Designen
dc.titleSymbolic and computational conjugate geometry for design and manufacturing applicationsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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