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Flexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomials

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dc.contributor.authorKim, Yong Y.en
dc.contributor.committeechairKapania, Rakesh K.en
dc.contributor.committeememberJohnson, Eric R.en
dc.contributor.committeememberNikolaidis, Efstratiosen
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2014-03-14T20:36:24Zen
dc.date.adate2000-05-16en
dc.date.available2014-03-14T20:36:24Zen
dc.date.issued2000-05-01en
dc.date.rdate2001-05-16en
dc.date.sdate2000-05-12en
dc.description.abstractDynamic behavior of flexural-torsional coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. The present work starts from a review of the development and analysis of four basic types of beam theories: the Euler-Bernoulli, Rayleigh, Shear and Timoshenko and goes over to a study of flexural-torsional coupled vibration analysis using basic beam theories. In obtaining natural frequencies, orthogonal polynomials used in the Rayleigh-Ritz method are studied as an efficient way of getting results. The study is also performed for both non-rotating and rotating beams. Orthogonal polynomials and functions studied in the present work are : Legendre, Chebyshev, integrated Legendre, modified Duncan polynomials, the eigenfunctions of a pinned-free uniform beam, and the special trigonometric functions used in conjunction with Hermite cubics. Studied cases are non-rotating and rotating Timoshenko beams, bending-torsion coupled beam with free-free boundary conditions, a cantilever beam, and a rotating cantilever beam. The obtained natural frequencies and mode shapes are compared to those available in various references and results for coupled flexural-torsional vibrations are compared to both previously available references and with those obtained using NASTRAN finite element package.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05122000-14040026en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05122000-14040026/en
dc.identifier.urihttp://hdl.handle.net/10919/32616en
dc.publisherVirginia Techen
dc.relation.haspartT5012000.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectRotating bladeen
dc.subjectOrthogonal polynomialsen
dc.subjectRayleigh-Ritzm methoden
dc.subjectNatural frequencyen
dc.subjectFelxural-torsional coupled vibrationen
dc.titleFlexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomialsen
dc.typeThesisen
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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