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A variational inequality approach to optimal plastic design of structures via the Prager-Rozvany theory

Stavroulakis Georgios, M. A. Tzaferopoulos

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URIhttp://purl.tuc.gr/dl/dias/3F00B636-971A-4C50-8010-19CA8077856A-
Αναγνωριστικόhttps://doi.org/10.1007/BF01742461-
Γλώσσαen-
Μέγεθος10 pagesen
ΤίτλοςA variational inequality approach to optimal plastic design of structures via the Prager-Rozvany theoryen
ΔημιουργόςStavroulakis Georgiosen
ΔημιουργόςΣταυρουλακης Γεωργιοςel
ΔημιουργόςM. A. Tzaferopoulosen
ΕκδότηςSpringer Verlagen
ΠερίληψηThe theory of optimal plastic design of structures via optimality criteria (W. Prager approach) transforms the optimal design problem into a certain nonlinear elastic structural analysis problem with appropriate stress-strain laws, which are derived by the adopted specific cost function for the members of the structure and which generally have complete vertical branches. Moreover, the concept of structural universe (introduced by G.I.N. Rozvany) permits us to tackle complicated optimal layout problems. On the other hand, a significant effort in the field of nonsmooth mechanics has recently been devoted to the solution of structural analysis problems with “complete” material and boundary laws, e.g. stress-strain laws or reaction-displacement laws with vertical branches. In this paper, the problem of optimal plastic design and layout of structures following the approach of Prager-Rozvany is revised within the framework of recent progress in the area of nonsmooth structural analysis and it is treated by means of techniques primarily developed for the solution of inequality mechanics problems. The problem of the optimal layout of trusses is used here as a model problem. The introduction of general convex, continuous and piecewise linear specific cost functions for the structural members leads to the formulation of linear variational inequalities or equivalent piecewise linear, convex but nonsmooth optimization problems. An algorithm exploiting the particular structure of the minimization problem is then described for the numerical solution. Thus, practical structural optimization problems of large size can be treated. Finally, numerical examples illustrate the applicability and the advantages of the method.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-11-
Ημερομηνία Δημοσίευσης1994-
Θεματική ΚατηγορίαGreek mathematicsen
Θεματική Κατηγορίαmathematics greeken
Θεματική Κατηγορίαgreek mathematicsen
Θεματική ΚατηγορίαApplied mechanicsen
Θεματική ΚατηγορίαEngineering, Mechanicalen
Θεματική Κατηγορίαmechanics applieden
Θεματική Κατηγορίαapplied mechanicsen
Θεματική Κατηγορίαengineering mechanicalen
Βιβλιογραφική ΑναφοράG. E. Stavroulakis, M. A. Tzaferopoulos," A variational inequality approach to optimal plastic design of structures via the Prager-Rozvany theory ," Struc.optimi. vol. 7, no.3, pp. 160-169,April 1994.doi:10.1007/BF01742461en

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