Convergence analysis of hybrid cellular automata for topology optimization

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dc.contributor.authorPenninger, Charles L.en
dc.contributor.authorWatson, Layne T.en
dc.contributor.authorTovar, Andresen
dc.contributor.authorRenaud, John E.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:51Zen
dc.date.available2013-06-19T14:36:51Zen
dc.date.issued2009-03-01en
dc.description.abstractThe hybrid cellular automaton (HCA) algorithm was inspired by the structural adaptation of bones to their ever changing mechanical environment. This methodology has been shown to be an effective topology synthesis tool. In previous work, it has been observed that the convergence of the HCA methodology is affected by parameters of the algorithm. As a result, questions have been raised regarding the conditions by which HCA converges to an optimal design. The objective of this investigation is to examine the conditions that guarantee convergence to a Karush-Kuhn-Tucker (KKT) point. In this paper, it is shown that the HCA algorithm is a fixed point iterative scheme and the previously reported KKT optimality conditions are corrected. To demonstrate the convergence properties of the HCA algorithm, a simple cantilevered beam example is utilized. Plots of the spectral radius for projections of the design space are used to show regions of guaranteed convergence.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00001068/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00001068/01/hcaSMO08.pdfen
dc.identifier.trnumberTR-09-07en
dc.identifier.urihttp://hdl.handle.net/10919/19662en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofComputer Science Technical Reportsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAlgorithmsen
dc.subjectData structuresen
dc.titleConvergence analysis of hybrid cellular automata for topology optimizationen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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