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A platform for research: civil engineering, architecture and urbanism
Direct plastic structural design under lognormally distributed strength by chance constrained programming
https://orcid.org/http://orcid.org/0000-0002-4609-2313
https://orcid.org/http://orcid.org/0000-0003-4363-6570
We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) is used with three-node linear triangular elements.
Direct plastic structural design under lognormally distributed strength by chance constrained programming
https://orcid.org/http://orcid.org/0000-0002-4609-2313
https://orcid.org/http://orcid.org/0000-0003-4363-6570
We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) is used with three-node linear triangular elements.
Direct plastic structural design under lognormally distributed strength by chance constrained programming
https://orcid.org/http://orcid.org/0000-0002-4609-2313
https://orcid.org/http://orcid.org/0000-0003-4363-6570
We propose the so-called chance constrained programming model of stochastic programming theory to analyze limit and shakedown loads of structures under random strength with a lognormal distribution. A dual chance constrained programming algorithm is developed to calculate simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The edge-based smoothed finite element method (ES-FEM) is used with three-node linear triangular elements.
Direct plastic structural design under lognormally distributed strength by chance constrained programming
Optim Eng
Trần, Ngọc Trình (author) / Staat, Manfred (author)
Optimization and Engineering ; 21 ; 131-157
2020-03-01
27 pages
Article (Journal)
Electronic Resource
English
Limit analysis , Shakedown analysis , Primal dual programming , Stochastic programming , Chance constrained programming , Reliability Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operations Research/Decision Theory , Financial Engineering , Mathematics and Statistics
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