FEM shakedown analysis of Kirchhoff-Love plates under uncertainty of strength
UNCECOMP 2021, 4th International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Streamed from Athens, Greece, 28–30 June 2021, page 323--338. Athens, Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, (2021)DOI: 10.7712/120221.8041.19047
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.