Transverse vibrations of a beam with varying moment of inertia, constant axial force and simple or elastic end conditions

dc.creatorMayes, Randall Lee
dc.date.available2011-02-18T20:27:47Z
dc.date.issued1979-05
dc.degree.departmentMechanical Engineeringen_US
dc.description.abstractFor design and analysis purposes, knowledge of the natural frequencies of vibration for beams is often very important. In this research, a new approximate method of solving the fourth order differential equation of motion for transverse beam vibration was developed. Employing a standard fourth order Runge-Kutta solution technique, the method was generalized to handle most combinations of simple and elastic boundary conditions, varying moments of inertia and axial forces. Comparison of results was made to analytical frequency solutions. One result was verified experimentally.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/13901en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectVibrationen_US
dc.subjectBoundary value problemsen_US
dc.subjectElasticityen_US
dc.titleTransverse vibrations of a beam with varying moment of inertia, constant axial force and simple or elastic end conditions
dc.typeThesis
thesis.degree.departmentMechanical Engineering
thesis.degree.disciplineMechanical Engineering
thesis.degree.grantorTexas Tech University
thesis.degree.levelMasters
thesis.degree.nameM.S.M.E.
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