Optimal shakedown design of metal structures under stiffness and stability constraints

Merkevičiūtė, Dovilė; Atkočiūnas, Juozas

doi:10.1016/j.jcsr.2006.04.020

Cited by 17 publications

(7 citation statements)

References 14 publications

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“…In the event that the reliability is higher than the target, it is possible to consider optimization with regard to economy of design. Within the scope of modelling, the notions "optimization" and "reliability" has different meaning to different people (Atkočiūnas et al 1997(Atkočiūnas et al , 2008Merkevičiūtė, Atkočiūnas 2006;Šešok et al 2010;Jankovski and Atkočiūnas 2010). With the development of conceptions of the numerical analysis of advanced structures Juozapaitis, Norkus 2007;Juozapaitis et al 2008Juozapaitis et al , 2010, these procedures can contribute to a qualitative improvement of the reliability analysis of structures.…”

Section: Resultsmentioning

confidence: 99%

Stability Problems of Steel‐concrete Members Composed of High‐strength Materials

Kala

Puklický

Omishore

et al. 2010

Journal of Civil Engineering and Management

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Abstract. The presented paper deals with the stochastic analysis of the ultimate limit states of steel-concrete building members. The load carrying capacity of steel-concrete columns, comprising of steel profiles encased in high strength concrete, in compression is analyzed. The first part of the paper lists assumptions for the determination of the theoretical load carrying capacity of the column. Principles of elasticity and plasticity are used to determine stresses in the concrete and steel sections. Statistical characteristics of input material and geometrical imperfections are listed. Results of the theoretical analysis are then compared with results of experimental research. Statistical characteristics of obtained results of the theoretical analysis were verified using statistical characteristics obtained from experimental research. Numerical simulation LHS and Monte Carlo methods, which take into account the influences of variability of input imperfections, were employed. The influence of the utilization of the plastic reserve in the determination of the load carrying capacity of the analysed strut is shown. The influence of the initial geometric imperfections of initial strut curvature on the load carrying capacity is also presented.

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Section: Resultsmentioning

confidence: 99%

Stability Problems of Steel‐concrete Members Composed of High‐strength Materials

Kala

Puklický

Omishore

et al. 2010

Journal of Civil Engineering and Management

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“…Load shakedown analysis via numerical and mathematical programming methods is relevant for civil engineering. This has been confirmed by the growing number of investigations in this field (Mróz et al 1995;Weichert et al 2002;Kaliszky and Lógó 2002;Pham 2003;Atkočiūnas et al 2004;Merkevičiūtė and Atkočiūnas 2006;Stonkus et al 2009;Žilinskaitė and Žiliukas 2008).…”

Section: Introductionmentioning

confidence: 76%

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

Venskus

Kalanta

Atkočiūnas

et al. 2010

Journal of Civil Engineering and Management

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Abstract. An elastic-plastic axisymmetric steel bending plate subjected to a repeated variable load (RVL) is considered. The solution to the load optimization problem at shakedown is complicated because the stress-strain state of the dissipative systems (e.g. the plate plastic deforming) depends on their loading history. A new algorithm for the load optimization problem combining von Mises and Tresca yield criterion based on the Rosen project gradient method is proposed. The optimization results are obtained by integrating the existing software and that created by the authors.

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“…The admissible bounds of displacements, under stiffness conditions (45) u min and u max , can be determined according to design standards [45]. European standards [46] state that the structure must satisfy ultimate and serviceability limit states distinguished by different reliability levels represented by partial factors as multipliers for external loading [47].…”

Section: Influence Matrices Of Residual Forces and Displacementsmentioning

confidence: 99%

An extended shakedown theory on an elastic–plastic spherical shell

Atkočiūnas

Ulitinas

Kalanta

et al. 2015

Engineering Structures

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Optimal shakedown design of metal structures under stiffness and stability constraints

Cited by 17 publications

References 14 publications

Stability Problems of Steel‐concrete Members Composed of High‐strength Materials

Stability Problems of Steel‐concrete Members Composed of High‐strength Materials

Integrated Load Optimization of Elastic‐plastic Axisymmetric Plates at Shakedown

An extended shakedown theory on an elastic–plastic spherical shell

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