Shakedown analysis of plate bending under stochastic uncertainty by chance constrained programming. Tran, N. T., Tran, T. N., Matthies, H., Stavroulakis, G., & Staat, M. In Papadopoulos, V., Stefanou, G., & Plevris, V., editors, Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), pages 3007–3019, Athens, 2016. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece. ZSCC: NoCitationData[s0]![Shakedown analysis of plate bending under stochastic uncertainty by chance constrained programming [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex In this paper we propose a stochastic programming to analyze limit and shakedown of plate bending under uncertainty conditions of strength. The Kirchhoff plate theory is used to formulate chance constrained problems. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier for-mulated by static theorem. In this investigation 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.
@inproceedings{tran_shakedown_2016,
address = {Athens},
title = {Shakedown analysis of plate bending under stochastic uncertainty by chance constrained programming},
copyright = {All rights reserved},
isbn = {978-618-82844-0-1},
url = {https://www.eccomas2016.org/proceedings/pdf/11106.pdf http://www.eccomasproceedia.org/conferences/eccomas-congresses/eccomas-congress-2016/2012},
doi = {10.7712/100016.2012.11106},
abstract = {In this paper we propose a stochastic programming to analyze limit and shakedown of plate bending under uncertainty conditions of strength. The Kirchhoff plate theory is used to formulate chance constrained problems. Based on the duality theory, the shakedown load multiplier formulated by the kinematic theorem is proved actually to be the dual form of the shakedown load multiplier for-mulated by static theorem. In this investigation 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.},
booktitle = {Proceedings of the {VII} {European} {Congress} on {Computational} {Methods} in {Applied} {Sciences} and {Engineering} ({ECCOMAS} {Congress} 2016)},
publisher = {Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece},
author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, H.G. and Stavroulakis, G.E. and Staat, Manfred},
editor = {Papadopoulos, V. and Stefanou, G. and Plevris, V.},
year = {2016},
note = {ZSCC: NoCitationData[s0]},
keywords = {Limit analysis, Shakedown analysis, chance constrained programming, non-linear programming, stochastic programming},
pages = {3007--3019},
}
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