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dc.contributor.advisorFallahi, Behroozen_US
dc.contributor.authorPan, Yixinen_US
dc.date.accessioned2016-01-22T15:17:53Z
dc.date.available2016-01-22T15:17:53Z
dc.date.issued1995
dc.identifier.urihttp://commons.lib.niu.edu/handle/10843/15086
dc.descriptionIncludes bibliographical references (pages [41]-46)en_US
dc.description.abstractRotating beam is a common element of many mechanical systems such as propellers, helicopter rotors, and machines. In designing these mechanical systems, knowledge of the natural frequency of the rotating beam is crucial to avoid resonance. In this study, a method for calculating the natural frequency of a rotating beam including gyroscopic effect is presented. The method uses coupled elastic and rigid body (shadow beam method) and finite element dicretization to derive a set of second -order differential equations. This set of equations is transformed to a set of first-order differential equations of the form Ix + Gx - Q where / and G are symmetric and antisymmetric, respectively. A procedure which transforms this equation to an eigenvalue problem with a symmetric matrix is discussed. It is shown that this matrix is of the form Ar A where A is an antisymmetric matrix. The property that singular values and vectors of A are the eigenvalues and eigenvectors of AT A is used to calculate the natural frequencies. The results of a numerical study to show the effects of tip mass, spin softening, material properties, and speed on the natural frequencies are presented.en_US
dc.format.extentx, 46 pagesen_US
dc.language.isoengen_US
dc.publisherNorthern Illinois Universityen_US
dc.rightsNIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.en_US
dc.subject.lcshGirdersen_US
dc.subject.lcshRotational motion (Rigid dynamics)en_US
dc.subject.lcshEigenvaluesen_US
dc.subject.lcshElasticityen_US
dc.titleAn eigenvalue analysis of Timoshenko beam undergoing coupled elastic-rigid body motionen_US
dc.type.genreDissertation/Thesisen_US
dc.typeTexten_US
dc.contributor.departmentDepartment of Mechanical Engineeringen_US
dc.description.degreeM.S. (Master of Science)en_US


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