dc.creator Allamsetty, Surya Prakash dc.date.available 2014-11-10T19:34:30Z dc.date.issued 1991-08 dc.identifier.uri http://hdl.handle.net/2346/59827 dc.description.abstract A large number of aerospace structures and large flexible mechanical structures can be modeled as a large flexible column with a tip mass. Sometimes under certain circumstances, large deformations may be caused in the structures. The developments in the field of design have led to the use of lightweight and high strength materials in these structures. Thus, modem structures are lighter, more flexible, and provide much lower energy dissipation, leading to an intense vibration response. Hence, the dynamic analysis of these structures becomes an important criterion for design. In this study, the nonlinear dynamics of a column with a tip mass was investigated. The partial differential equations of motion were derived for two cases: one in which the truncation of the higher order terms has been done at the beginning of the derivation of the equation of motion and the other in which the truncation was performed at the end of the derivation. Galerkin's method was applied to obtain the second order nonlinear differential equation. The numerical simulation was performed for both the cases, and the results were compared. The multiple scales method was employed to obtain the analytical solution. It has then been compared with the numerical simulation results. dc.format.mimetype application/pdf dc.language.iso eng dc.subject Structural dynamics -- Mathematical models dc.subject Nonlinear boundary value problems -- Numerical solutions dc.subject Columns -- Mathematical models dc.title Nonlinear dynamics of a column with a tip mass en_US dc.type Thesis thesis.degree.name Master of Science thesis.degree.level Masters thesis.degree.discipline Mechanical Engineering thesis.degree.grantor Texas Tech University thesis.degree.department Mechanical Engineering dc.contributor.committeeMember Carper, Herbert J. dc.contributor.committeeMember Rasty, Jahan dc.rights.availability Unrestricted.
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