Optimization of the Structures at Shakedown and Rosen’s Optimality Criterion

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 describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis pro...

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Bibliographic Details
Published in:Civil and environmental engineering reports 2016-09, Vol.22 (3), p.5-24
Main Authors: Alawdin, Piotr, Atkociunas, Juozas, Liepa, Liudas
Format: Article
Language:English
Subjects:
extreme energy principles
mathematical programing
optimal design
Rosen’s optimality criterion
shakedown
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Summary: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 describes the true stress-strain state conditions of the structure, the dual mathematical models of analysis problems are formed (static and kinematic formulations). It is shown how common mathematical model of the structures optimization at shakedown with safety and 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.
ISSN:2080-5187
2450-8594
DOI:10.1515/ceer-2016-0031