An Optimal Plastic Shakedown Design

Giambanco, F.; Palizzolo, Luigi; Caffarelli, A.

doi:10.4203/ccp.75.10

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…Mathematical model (22)-(24) is suited for the structures with holonomic behavior because of complementary slackness conditions for mathematical programming (25): the unloading phenomenon of the cross-section is ignored in the shakedown process [36][37][38], which should always be kept in mind when formulating mathematical models for shakedown optimization problems. For this reason, in a precise mathematical model for optimization, one has to consider the lower u r;inf and upper u r;sub variation bounds of residual displacements.…”

Section: Kinematic Formulation Of the Shakedown Analysis Problemmentioning

confidence: 99%

An extended shakedown theory on an elastic–plastic spherical shell

Atkočiūnas

Ulitinas

Kalanta

et al. 2015

Engineering Structures

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Section: Kinematic Formulation Of the Shakedown Analysis Problemmentioning

confidence: 99%

An extended shakedown theory on an elastic–plastic spherical shell

Atkočiūnas

Ulitinas

Kalanta

et al. 2015

Engineering Structures

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“…Furthermore, for load conditions above the elastic shakedown limit, an alternating plasticity behaviour (plastic shakedown) is certainly preferable with respect to a ratchetting one, and (see, e.g. [24][25]) a first formulation of the so-called plastic shakedown (no ratchet) optimal design of FE structures subjected to a combination of fixed and cyclic loads has been proposed. Improved formulations and further applications (see, e.g., [26,27]) have been also proposed.…”

Section: Introductionmentioning

confidence: 99%

Structural Design of Frames Able to Prevent Element Buckling

Giambanco¹,

Benfratello²,

Palizzolo³

et al.

Civil-Comp Proceedings

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Two formulations of a special multicriterion optimal design problem devoted to elastic perfectly plastic steel frame structures subjected to different combinations of static and dynamic loads are presented. In particular, two minimum volume design\ud problem formulations are proposed: in the first one the structure is designed so as to be able to elastically behave for the assigned fixed loads, to elastically shakedown for serviceability seismic load conditions and to prevent the instantaneous collapse\ud for suitably chosen combinations of fixed and ultimate seismic loadings; in the second one the structure must also satisfy further appropriate constraints related to element buckling. The actions that the structure must suffer are evaluated by making reference to the actual Italian seismic code and the dynamic response of the structure\ud is performed by utilizing a modal technique. The applications are devoted to flexural steel frames, the different designs obtained are compared and the sensitivity of the structural response has been investigated on the grounds of the determination and interpretation of the Bree diagrams of the obtained optimal structures

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An Optimal Plastic Shakedown Design

Cited by 2 publications

References 6 publications

An extended shakedown theory on an elastic–plastic spherical shell

An extended shakedown theory on an elastic–plastic spherical shell

Structural Design of Frames Able to Prevent Element Buckling

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