Objective functions for nonlinear structural analysis

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dc.contributor.authorHorne, David Brownfielden
dc.contributor.committeechairHolzer, Siegfried M.en
dc.contributor.committeememberSomers, Arnold E. Jr.en
dc.contributor.committeememberPlaut, Raymond H.en
dc.contributor.departmentCivil Engineeringen
dc.date.accessioned2014-03-14T20:41:47Zen
dc.date.adate2009-07-22en
dc.date.available2014-03-14T20:41:47Zen
dc.date.issued1978-07-05en
dc.date.rdate2009-07-22en
dc.date.sdate2009-07-22en
dc.description.abstractAn objective function that is suitable for both stable and unstable equilibrium states since it is guaranteed to assume a relative minimum at any equilibrium state is presented. The objective function, which is the inner product of the equations of equilibrium (algorithm 2), is compared with another objective function which, for a static problem, is the total potential energy (algorithm 3). The method of formulating the mathematical model for algorithm 2 is presented in detail. Algorithm 2 is found to be less efficient than algorithm 3. However, it is demonstrated that algorithm 2 is able to solve for equilibrium states on either the fundamental path or a bifurcation path. Hence algorithm 2 is a powerful tool for nonlinear structural analysis since it is able to predict the existence of limit and bifurcation points and to determine post-buckled equilibrium states. Also addressed are the methods of formulating mathematical models for nonlinear structural analysis. A comparison of the methods of integrating the equations of motion for nonlinear dynamics problems and the selection of an appropriate time step for the time integration schemes are presented.en
dc.description.degreeMaster of Scienceen
dc.format.extentvi, 139 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-07222009-040212en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07222009-040212/en
dc.identifier.urihttp://hdl.handle.net/10919/34111en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1978.H68.pdfen
dc.relation.isformatofOCLC# 39901053en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectmathematical modelsen
dc.subject.lccLD5655.V855 1978.H68en
dc.titleObjective functions for nonlinear structural analysisen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineCivil Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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