Direct plastic structural design under lognormally distributed strength by chance constrained programming. Trần, N., T. & Staat, M. Optimization and Engineering, 21(1):131-157, 2020.
Website doi abstract bibtex 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.
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title = {Direct plastic structural design under lognormally distributed strength by chance constrained programming},
type = {article},
year = {2020},
keywords = {chance constrained programming,limit analysis,primal dual programming,shakedown analysis,stochastic programming,structural reliability},
pages = {131-157},
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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.},
bibtype = {article},
author = {Trần, Ngọc Trình and Staat, Manfred},
doi = {10.1007/s11081-019-09437-2},
journal = {Optimization and Engineering},
number = {1}
}
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