Shakedown analysis of plate bending under stochastic uncertainity by chance constraint programmingShakedown analysis of plate bending under stochastic uncertainity by chance constraint programming Πλήρης Δημοσίευση σε Συνέδριο Conference Full Paper 2018-11-222016enIn this paper we propose a stochastic programming to analyze limit and shakedown of plate bending under uncertainty conditions of strength. The Kirchhoff plate theory is used to formulate chance constrained problems. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier formulated by static theorem. In this investigation a dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit.http://creativecommons.org/licenses/by/4.0/3007-30197th European Congress on Computational Methods in Applied Sciences and EngineeringECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and EngineeringTrân_et_al_ECCOMAS_2016.pdfChania [Greece]Library of TUC2018-11-20application/pdf997.5 kBfree Trân Ngoc Trình Trần Thanh Ngoc Matthies Hermann Georg Stavroulakis Georgios Σταυρουλακης Γεωργιος Staat Manfred National Technical University of Athens Chance constrained programming Limit analysis Non-linear programming Shakedown analysis Stochastic programming