FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength

  • A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem. We restrict uncertainty to strength, the loading is still deterministic. A new formulation is derived in case of random strength with lognormal distribution. Upper bound and lower bound shakedown load factors are calculated simultaneously by a dual algorithm.

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Author:Trình Ngọc Trần, Manfred Staat
Parent Title (English):Proceedings of UNCECOMP 2021
Document Type:Conference Proceeding
Year of Completion:2021
Date of the Publication (Server):2021/06/28
Length:Paper ID: E19047
Proceedings of UNCECOMP 2021, 4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering, streamed from Athens, Greece, 28–30 June 2021.
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering