%0 Journal Article %1 Tran2019 %A Trần, Ngọc Trình %A Staat, Manfred %D 2019 %J Optimization and Engineering %K analysis,primal analysis,stochastic chance constrained dual programming,limit programming,shakedown programming,structural reliability %R 10.1007/s11081-019-09437-2 %T Direct plastic structural design under lognormally distributed strength by chance constrained programming %U http://link.springer.com/10.1007/s11081-019-09437-2 https://rdcu.be/bxiaz %X We propose the so-called chance constrained programming model of stochastic programming 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.

@article{Tran2019, abstract = {We propose the so-called chance constrained programming model of stochastic programming 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.}, added-at = {2019-12-23T09:34:32.000+0100}, author = {Trần, Ngọc Tr{\`{i}}nh and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/2ff1b1d249620d80dccb032bb73d337fc/staat}, doi = {10.1007/s11081-019-09437-2}, interhash = {51aa48c122aa82f35a3128ac204e6f70}, intrahash = {ff1b1d249620d80dccb032bb73d337fc}, issn = {1389-4420}, journal = {Optimization and Engineering}, keywords = {analysis,primal analysis,stochastic chance constrained dual programming,limit programming,shakedown programming,structural reliability}, month = apr, timestamp = {2019-12-23T09:34:32.000+0100}, title = {{Direct plastic structural design under lognormally distributed strength by chance constrained programming}}, url = {http://link.springer.com/10.1007/s11081-019-09437-2 https://rdcu.be/bxiaz}, year = 2019 }