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Limit and shakedown analysis of structures under random strength

  • Direct methods comprising limit and shakedown analysis is a branch of computational mechanics. It plays a significant role in mechanical and civil engineering design. The concept of direct method aims to determinate the ultimate load bearing capacity of structures beyond the elastic range. For practical problems, the direct methods lead to nonlinear convex optimization problems with a large number of variables and onstraints. If strength and loading are random quantities, the problem of shakedown analysis is considered as stochastic programming. This paper presents a method so called chance constrained programming, an effective method of stochastic programming, to solve shakedown analysis problem under random condition of strength. In this our investigation, the loading is deterministic, the strength is distributed as normal or lognormal variables.

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Author:Ngoc Trinh TranORCiD, Tu Luc TrinhORCiD, Ngoc Tien DaoORCiD, Van Tan GiapORCiD, Manh Khuyen TruongORCiD, Thuy Ha Dinh, Manfred StaatORCiD
Parent Title (Multiple languages):Proceedings of (NACOME2022) The 11th National Conference on Mechanics, Vol. 1. Solid Mechanics, Rock Mechanics, Artificial Intelligence, Teaching and Training, Hanoi, December 2-3, 2022
Publisher:Nha xuat ban Khoa hoc tu nhien va Cong nghe (Verlag Naturwissenschaft und Technik)
Place of publication:Hanoi
Document Type:Conference Proceeding
Year of Completion:2022
Date of the Publication (Server):2023/03/27
Tag:Chance constrained programming; Limit analysis; Reliability of structures; Shakedown analysis; Stochastic programming
First Page:510
Last Page:518
Institutes:FH Aachen / Fachbereich Medizintechnik und Technomathematik
FH Aachen / IfB - Institut für Bioengineering
collections:Verlag / Nha xuat ban Khoa hoc tu nhien va Cong nghe (Verlag Naturwissenschaft und Technik)