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dc.contributor.authorTsang, Ting-yu
dc.creatorTsang, Ting-yuen_US
dc.date.accessioned2011-10-31T18:11:35Z
dc.date.available2011-10-31T18:11:35Z
dc.date.issued1993en_US
dc.identifier.urihttp://hdl.handle.net/10150/186507
dc.description.abstractA new approach in which element reference frames are placed at each element and deformed with the elements at all times is introduced with the purpose of computing large deformations in the dynamic analysis of highly deformable bodies. Since the deformation rate of a deformable body is generally not zero, the time derivatives of the motions of these element frames do not vanish. This co-rotational-time-dependent frame approach (named CRTD in this work) is applied to flexible rotating beams undergoing large deformations. A novel numerical scheme based on the Newmark method is presented for the fast integration of the nonlinear equations obtained from the CRTD approach, and mesh partitioning/recombining algorithms are investigated as a means of achieving computational efficiency. A flexible rotating plate undergoing large and fast rotation but small deformation is also examined. Numerical results, which include comparisons between the CRTD approach and other related approaches including nonlinear finite element approaches are presented. The effects of bending stiffness and density on the maximum deflection of highly deformable rotating beams, and differences between the rotating plate and rotating beam approaches are discussed.
dc.language.isoenen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectDissertations, Academic.en_US
dc.subjectMechanical engineering.en_US
dc.titleDynamic analysis of highly deformable bodies undergoing large rotations.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.contributor.chairArabyan, Araen_US
dc.identifier.oclc721388520en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberNikravesh, Parviz E.en_US
dc.contributor.committeememberHuang, Youngen_US
dc.identifier.proquest9421735en_US
thesis.degree.disciplineAerospace and Mechanical Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
refterms.dateFOA2018-08-23T13:18:40Z
html.description.abstractA new approach in which element reference frames are placed at each element and deformed with the elements at all times is introduced with the purpose of computing large deformations in the dynamic analysis of highly deformable bodies. Since the deformation rate of a deformable body is generally not zero, the time derivatives of the motions of these element frames do not vanish. This co-rotational-time-dependent frame approach (named CRTD in this work) is applied to flexible rotating beams undergoing large deformations. A novel numerical scheme based on the Newmark method is presented for the fast integration of the nonlinear equations obtained from the CRTD approach, and mesh partitioning/recombining algorithms are investigated as a means of achieving computational efficiency. A flexible rotating plate undergoing large and fast rotation but small deformation is also examined. Numerical results, which include comparisons between the CRTD approach and other related approaches including nonlinear finite element approaches are presented. The effects of bending stiffness and density on the maximum deflection of highly deformable rotating beams, and differences between the rotating plate and rotating beam approaches are discussed.


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