FEM Shakedown of uncertain structures by chance constrained programming

Abstract

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)

Shakedown Analysis of Plate Bending Under Stochastic Uncertainty by Chance Constrained Programming

“…Chance constrained programing is an approach of stochastic programming to limit and shakedown analysis under uncertainty [1,2]. Under uncertainty the shakedown problem can be stated with random objective function or with random constraints.…”