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dc.contributor.advisorMann, Brian P.en
dc.contributor.authorRadhakrishnan, Anupam, 1979-en_US
dc.date.issued2007eng
dc.date.submitted2007 Summeren
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.en_US
dc.descriptionTitle from title screen of research.pdf file (viewed on January 8, 2008)en_US
dc.descriptionIncludes bibliographical references.en_US
dc.descriptionThesis (M.S.) University of Missouri-Columbia 2007.en_US
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mechanical and aerospace engineering.en_US
dc.description.abstractThe focus of the current thesis is an experimental and numerical investigation of subcritical bifurcations in milling. More specifically, several researchers have reported results indicating that the secondary Hopf bifurcations of turning processes are subcritical. However, fewer results are available for milling - especially results that provide any substantial experimental evidence. Therefore, experimental cutting tests are performed on a relatively long aluminum workpiece. The atypical length of the work piece will be used so that the depth of cut may be slowly increased or decreased during the cutting process. This provides visual evidence of hysteresis in the bifurcation diagram and the existence of multiple stable periodic solutions. The importance of this exploratory experimental effort is that multiple attractors may exist (stable periodic solutions) for the same cutting speed and depth of cut, but only one of these solutions would be the chatter free case. An important outcome from these results is that a small perturbation in the desirable stable solution near the borders of the stability diagram could result in a jump to the unstable cutting condition.en_US
dc.identifier.merlin.b61739212en_US
dc.identifier.oclc188986153en_US
dc.identifier.otherRadhakrishnan-070907-T8165en_US
dc.identifier.urihttp://hdl.handle.net/10355/5095
dc.publisherUniversity of Missouri--Columbiaen_US
dc.relation.ispartof2007 Freely available theses (MU)en_US
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Theses. 2007 Theses
dc.subject.lcshMilling-machinesen_US
dc.subject.lcshBifurcation theoryen_US
dc.titleExperimental and numerical investigation of subcritical bifurcations in millingen_US
dc.typeThesisen_US
thesis.degree.disciplineMechanical and aerospace engineeringen_US
thesis.degree.disciplineMechanical and aerospace engineeringeng
thesis.degree.grantorUniversity of Missouri--Columbiaen_US
thesis.degree.levelMastersen_US
thesis.degree.nameM.S.en_US


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