@misc{Alawdin_Piotr_Optimization, author={Alawdin, Piotr and Atkočiunas, Jouzas and Liepa, Liudas}, howpublished={online}, publisher={Zielona Góra: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego}, language={eng}, abstract={Paper focuses on the problems of application of extreme energy principles and nonlinear mathematical programing in the theory of structural shakedown. By means of energy principles, which describe the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations).}, abstract={It is shown how common mathematical model of the structures optimization at shakedown with safety serviceability constraints (according to the ultimate limit state (ULS) and serviceability limit state (SLS) requirements) on the basis of previously mentioned mathematical models is formed. The possibilities of optimization problem solution in the context of physical interpretation of optimality criterion of Rosen`s algorithm are analyzed.}, type={artykuł}, title={Optimization of the structures at shakedon and Rosen`s optimality criterion = Optymalizacja konstrukcji w stanie przystosowania a kryterium optymalności Rosena}, keywords={przystosowanie, ekstremalne zasady energetyczne, projektowanie optymalne, programowanie matematyczne, kryterium optymalności Rosena, shakedown, extreme energy principles, optimal design, mathematical programming, Rosen`s optimality criterion}, }