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Shakedown Analysis Under Stochastic Uncertainty by Chance Constrained Programming

  • In this paper we propose a stochastic programming method to analyse limit and shakedown of structures under uncertainty condition of strength. 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. The edge-based smoothed finite element method (ES-FEM) with three-node linear triangular elements is used for structural analysis.

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Author:N. T. Tran, Thanh Ngoc TranORCiD, M. G. Matthies, G. E. Stavroulakis, Manfred StaatORCiD
Parent Title (English):Advances in Direct Methods for Materials and Structures
Place of publication:Cham
Document Type:Part of a Book
Year of Completion:2017
Date of the Publication (Server):2017/08/25
First Page:85
Last Page:103
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
collections:Verlag / Springer