Tracking Structural Optima as a Function of Available Resources by a Homotopy Method

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dc.contributor.authorShin, Yung S.en
dc.contributor.authorHaftka, Raphael T.en
dc.contributor.authorWatson, Layne T.en
dc.contributor.authorPlaut, Raymond H.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:49Zen
dc.date.available2013-06-19T14:36:49Zen
dc.date.issued1988en
dc.description.abstractOptimization problems are typically solved by starting with an initial estimate and proceeding iteratively to improve it until the optimum is found. The design points along the path from the initial estimate to the optimum are usually of no value. The present work proposes a strategy for tracing a path of optimum solutions parameterized by the amount of available resources. The paper specifically treats the optimum design of a structure to maximize its buckling load. Equations for the optimum path are obtained using Lagrange multipliers, and solved by a homotopy method. The solution path has several branches due to changes in the active constraint set and transitions from unimodal to bimodal solutions. The Lagrange multipliers and second-order optimality conditions are used to detect branching points and to switch to the optimum solution path. The procedure is applied to the design of a foundation which supports a column for maximum buckling load. Using the total available foundation stiffness as a homotopy parameter, a set of optimum foundation designs is obtained.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000128/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000128/01/TR-88-43.pdfen
dc.identifier.trnumberTR-88-43en
dc.identifier.urihttp://hdl.handle.net/10919/19452en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleTracking Structural Optima as a Function of Available Resources by a Homotopy Methoden
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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