Limit Analysis of Geometrically Hardening Rod Systems using Bilevel Programming

Aliawdin, P.; Urbańska, Krystyna

doi:10.1016/j.proeng.2013.04.014

Cited by 6 publications

(2 citation statements)

References 18 publications

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“…In this example the increase of load capacity was on the level 15%. It should be noted that for the systems with composite beams, in which the bending stiffness varies with different moment signs (depending on the direction of deformation and the presense of a normal tesile force), the effect of GHS rigidity will be relatively different than that for the contructions made from homogeneous materials [3]. However the increase of load capacity as a result of structure geometry change remains just like this.…”

Section: Analysis Of Viaduct Systemmentioning

confidence: 99%

“…The paper considers issues of creating load-carrying systems whose failure occurs gradually under one-path monotonic or repeatedly variable quasistatic loadings, which enables to prevent a catastrophic failure. Due to geometry and topology of certain classes such 6 Piotr ALAWDIN, Krystyna URBAŃSKA systems have uprated strength, rigidity and safety, and therefore are called geometrically hardening systems (GHS) [1][2][3]. The essential influence of geometrically nonlinear effects on the load carrying capacity is well known.…”

Section: Introductionmentioning

confidence: 99%

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Limit Analysis of Geometrically Hardening Composite Steel-Concrete Systems / Stany Graniczne Geometrycznie Wzmacniających Się Konstrukcji Zespolonych

Alawdin¹,

Urbańska²

2023

Civil and Environmental Engineering Reports

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The paper considers some results of creating load-carrying composite systems that have uprated strength, rigidity and safety, and therefore are called geometrically (self-) hardening systems. The optimization mathematic models of structures as discrete mechanical systems withstanding dead load, monotonic or low cyclic static and kinematic actions are proposed. To find limit parameters of these actions the extreme energetic principle is suggested what result in the bilevel mathematic programming problem statement. The limit parameters of load actions are found on the first level of optimization. On the second level the power of the constant load with equilibrium preloading is maximized and/or system cost is minimized. The examples of using the proposed methods are presented and geometrically hardening composite steel-concrete system are taken into account.

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Section: Analysis Of Viaduct Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%