FEM shakedown analysis of structures under random strength with chance constrained programming Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.15625/0866-7136/17943
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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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.15625/0866-7136/17943
- https://vjs.ac.vn/index.php/vjmech/article/download/17943/pdf
- OA Status
- diamond
- References
- 18
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4313395948
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- OpenAlex ID
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https://openalex.org/W4313395948Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.15625/0866-7136/17943Digital Object Identifier
- Title
-
FEM shakedown analysis of structures under random strength with chance constrained programmingWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-12-30Full publication date if available
- Authors
-
Ngọc Trình Trần, Tu Luc Trinh, Dao Ngọc Tien, Tan Giap Van, Khuyen Truong Manh, Thuy Ha Dinh, Manfred StaatList of authors in order
- Landing page
-
https://doi.org/10.15625/0866-7136/17943Publisher landing page
- PDF URL
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https://vjs.ac.vn/index.php/vjmech/article/download/17943/pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://vjs.ac.vn/index.php/vjmech/article/download/17943/pdfDirect OA link when available
- Concepts
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Shakedown, Limit load, Limit analysis, Nonlinear programming, Mathematical optimization, Random variable, Limit (mathematics), Stochastic programming, Mathematics, Structural engineering, Nonlinear system, Range (aeronautics), Finite element method, Computer science, Engineering, Mathematical analysis, Physics, Statistics, Aerospace engineering, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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18Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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