%0 Conference Paper %1 Tran2021 %A Trần, Ngọc Trình %A Staat, Manfred %B UNCECOMP 2021, 4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Streamed from Athens, Greece, 28–30 June 2021 %C Athens %D 2021 %E Papadrakakis, Manolis %E Papadopoulos, Vissarion %E Stefanou, George %I Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece %K Analysis,Primal Analysis,Stochastic Chance Constrained Dual Plate,Limit Programming Programming,Kirchhoff Programming,Shakedown %P 323--338 %R 10.7712/120221.8041.19047 %T FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength %U https://generalconferencefiles.s3.eu-west-1.amazonaws.com/uncecomp_2021_proceedings.pdf https://www.eccomasproceedia.org/conferences/thematic-conferences/uncecomp-2021/8041 %X A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem. We restrict uncertainty to strength, the loading is still deterministic. A new formulation is derived in case of random strength with lognormal distribution. Upper bound and lower bound shakedown load factors are calculated simultaneously by a dual algorithm. %@ 978-618-85072-6-5

@inproceedings{Tran2021, abstract = {A new formulation to calculate the shakedown limit load of Kirchhoff plates under stochastic conditions of strength is developed. Direct structural reliability design by chance con-strained programming is based on the prescribed failure probabilities, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem. We restrict uncertainty to strength, the loading is still deterministic. A new formulation is derived in case of random strength with lognormal distribution. Upper bound and lower bound shakedown load factors are calculated simultaneously by a dual algorithm.}, added-at = {2022-03-22T23:17:08.000+0100}, address = {Athens}, author = {Trần, Ngọc Tr{\`{i}}nh and Staat, Manfred}, biburl = {https://www.bibsonomy.org/bibtex/23c41fda88ada5ba7e7a4701f7cde40d5/staat}, booktitle = {UNCECOMP 2021, 4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Streamed from Athens, Greece, 28–30 June 2021}, doi = {10.7712/120221.8041.19047}, editor = {Papadrakakis, Manolis and Papadopoulos, Vissarion and Stefanou, George}, interhash = {eb0bf55b48398fb3d07cc36e7f919364}, intrahash = {3c41fda88ada5ba7e7a4701f7cde40d5}, isbn = {978-618-85072-6-5}, keywords = {Analysis,Primal Analysis,Stochastic Chance Constrained Dual Plate,Limit Programming Programming,Kirchhoff Programming,Shakedown}, pages = {323--338}, publisher = {Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece}, timestamp = {2022-03-22T23:17:08.000+0100}, title = {{FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength}}, url = {https://generalconferencefiles.s3.eu-west-1.amazonaws.com/uncecomp_2021_proceedings.pdf https://www.eccomasproceedia.org/conferences/thematic-conferences/uncecomp-2021/8041}, year = 2021 }