%0 Conference Paper %1 Tran2016a %A Tran, Ngoc Trinh %A Tran, Thanh Ngoc %A Matthies, H.G. %A Stavroulakis, G.E. %A Staat, Manfred %B Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016) %C Athens %D 2016 %E Papadopoulos, V. %E Stefanou, G. %E Plevris, V. %I Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece %K Limit analysis,Shakedown analysis,chance constrained programming programming,non-linear programming,stochastic %P 3007--3019 %R 10.7712/100016.2012.11106 %T Shakedown analysis of plate bending under stochastic uncertainty by chance constrained programming %U https://www.eccomas2016.org/proceedings/pdf/11106.pdf http://www.eccomasproceedia.org/conferences/eccomas-congresses/eccomas-congress-2016/2012 %X 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. %@ 978-618-82844-0-1

@inproceedings{Tran2016a, 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.}, added-at = {2019-12-23T09:34:32.000+0100}, address = {Athens}, author = {Tran, Ngoc Trinh and Tran, Thanh Ngoc and Matthies, H.G. and Stavroulakis, G.E. and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/2584c6401a74675196fd7d21ba0f07e2b/staat}, booktitle = {Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)}, doi = {10.7712/100016.2012.11106}, editor = {Papadopoulos, V. and Stefanou, G. and Plevris, V.}, interhash = {608e578b4463c66c01db0859fc0307ef}, intrahash = {584c6401a74675196fd7d21ba0f07e2b}, isbn = {978-618-82844-0-1}, keywords = {Limit analysis,Shakedown analysis,chance constrained programming programming,non-linear programming,stochastic}, pages = {3007--3019}, publisher = {Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece}, timestamp = {2019-12-23T09:34:32.000+0100}, title = {{Shakedown analysis of plate bending under stochastic uncertainty by chance constrained programming}}, url = {https://www.eccomas2016.org/proceedings/pdf/11106.pdf http://www.eccomasproceedia.org/conferences/eccomas-congresses/eccomas-congress-2016/2012}, year = 2016 }