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FEM Shakedown of uncertain structures by chance constrained programming
Author(s) -
Tran Ngoc Trinh,
Tran Thanh Ngoc,
Matthies H. G.,
Stavroulakis G. E.,
Staat M.
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610346
Subject(s) - shakedown , upper and lower bounds , dual (grammatical number) , mathematical optimization , finite element method , variable (mathematics) , mathematics , linear programming , computer science , structural engineering , engineering , mathematical analysis , art , literature
We present a new primal‐dual numerical algorithm of the shakedown problem under uncertainty in which the material strength is considered as a normally distributed random variable. Using chance constrained programming, we obtain deterministic equivalent formulations based on upper bound and lower bound theorems which are dual to each other. The proposed algorithm is tested in numerical examples which are applied to civil engineering structures. The obtained solutions show good performance. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)