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Title: Optimal shakedown of the thin-wall metal structures under strength and stiffness constraints
Authors: Alawdin, Piotr
Liepa, Liudas
Keywords: shakedown
mathematical programming
thin-wall metal structures
Issue Date: 2017
Publisher: De Gruyter Open
Citation: Alawdin, P.; Liepa, L. 2017. Optimal shakedown of the thin-wall metal structures under strength and stiffness constraints, Civil and environmental engineering reports : the journal of University of Zielona Góra 25(2): 25–41
Series/Report no.: 25;2
Abstract: Classical optimization problems of metal structures confined mainly with 1st class crosssections. But in practice it is common to use the cross-sections of higher classes. In this paper, a new mathematical model for described shakedown optimization problem for metal structures, which elements are designed from 1st to 4th class cross-sections, under variable quasi-static loads is presented. The features of limited plastic redistribution of forces in the structure with thin-walled elements there are taken into account. Authors assume the elastic-plastic flexural buckling in one plane without lateral torsional buckling behavior of members. Design formulae for Methods 1 and 2 for members are analyzed. Structures stiffness constrains are also incorporated in order to satisfy the limit serviceability state requirements. With the help of mathematical programming theory and extreme principles the structure optimization algorithm is developed and justified with the numerical experiment for the metal plane frames.
ISSN: 2080-5187
Appears in Collections:Moksliniai straipsniai / Research articles

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