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Optimal structural design via optimality criteria as a nonsmooth mechanics problem

M.Ap. Tzaferopoulos, Stavroulakis Georgios

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/AAF82344-A290-4CA0-9E84-2A6438A46FE6-
Αναγνωριστικόhttps://doi.org/10.1016/0045-7949(94)00479-M-
Γλώσσαen-
Μέγεθος12 pagesen
ΤίτλοςOptimal structural design via optimality criteria as a nonsmooth mechanics problemen
ΔημιουργόςM.Ap. Tzaferopoulosen
ΔημιουργόςStavroulakis Georgiosen
ΔημιουργόςΣταυρουλακης Γεωργιοςel
ΕκδότηςElsevieren
ΠερίληψηIn the theory of plastic structural design via optimality criteria (due to W. Prager), the optimal design problem is transformed to a nonlinear elastic structural analysis problem with appropriate stress-strain laws, which generally include complete vertical branches. In this context, the concept of structural universe (in the sense of G. Rozvany) permits the treatment of complicated optimal layout problems. Recent progress in the field of nonsmooth mechanics makes the solution of structural analysis problems with this kind of “complete” law possible. Elements from the two fields are combined in this paper for the solution of optimal design and layout problems for structures. The optimal layout of plane trusses with various specific cost functions is studied here as a representative problem. The use of convex, continuous and piecewise linear specific cost functions for the structural members leads to problems of linear variational inequalities or equivalently piecewise linear, convex but nonsmooth optimization problems, which are solved by means of an iterative algorithm based on sequential linear programming techniques. Numerical examples illustrate the theory and its applicability to practical engineering structures. Following a parametric investigation of an optimal bridge design, certain aspects of the optimal truss layout problem are discussed, which can be extended to other types of structural systems as well.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-12-
Ημερομηνία Δημοσίευσης1995-
Θεματική ΚατηγορίαApplied mechanicsen
Θεματική ΚατηγορίαEngineering, Mechanicalen
Θεματική Κατηγορίαmechanics applieden
Θεματική Κατηγορίαapplied mechanicsen
Θεματική Κατηγορίαengineering mechanicalen
Βιβλιογραφική ΑναφοράM. A. Tzaferopoulos , G.E. Stavroulakis, " Optimal structural design via optimality criteria as a nonsmooth mechanics problem," Comp. and Struct.,vol. 55, no.5, pp. 761–772, Jun. 1995.doi:10.1016/0045-7949(94)00479-Men

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