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FEM shakedown analysis of structures under random strength with chance constrained programming

  • Direct methods, comprising limit and shakedown analysis, are a branch of computational mechanics. They play a significant role in mechanical and civil engineering design. The concept of direct methods aims to determine the ultimate load carrying capacity of structures beyond the elastic range. In practical problems, the direct methods lead to nonlinear convex optimization problems with a large number of variables and constraints. If strength and loading are random quantities, the shakedown analysis can be formulated as stochastic programming problem. In this paper, a method called chance constrained programming is presented, which is an effective method of stochastic programming to solve shakedown analysis problems under random conditions of strength. In this study, the loading is deterministic, and the strength is a normally or lognormally distributed variable.

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Metadaten
Author:Ngoc Trinh TranORCiD, Tu Luc TrinhORCiD, Ngoc Tien DaoORCiD, Van Tan GiapORCiD, Manh Khuyen TruongORCiD, Thuy Ha Dinh, Manfred StaatORCiD
DOI:https://doi.org/10.15625/0866-7136/17943
ISSN:0866-7136
ISSN:2815-5882
Parent Title (English):Vietnam Journal of Mechanics
Publisher:Vietnam Academy of Science and Technology (VAST)
Document Type:Article
Language:English
Year of Completion:2022
Date of the Publication (Server):2023/01/05
Tag:chance constrained programming; limit analysis; reliability of structures; shakedown analysis; stochastic programming
Volume:44
Issue:4
First Page:459
Last Page:473
Link:https://doi.org/10.15625/0866-7136/17943
Zugriffsart:weltweit
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
open_access (DINI-Set):open_access
collections:Verlag / Vietnam Academy of Science and Technology (VAST)
Open Access / Diamond
Licence (German): Creative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen