Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters
作者： Duy Minh Do , Wei Gao , Chongmin Song
DOI: 10.1016/J.CMA.2015.11.032
关键词: Mathematics 、 Random function 、 Random element 、 Applied mathematics 、 Stochastic simulation 、 Mathematical optimization 、 Probability density function 、 Polynomial chaos 、 Randomness 、 Random field 、 Cumulative distribution function
摘要: The research work presents the study on non-deterministic problems in presence of multiple imprecise-random-field uncertainties by extending spectral stochastic finite element framework. standard random field is expanded to characterize behaviour physical model with imprecise randomness more appropriately for real engineering based available sources uncertainty. Young’s modulus and body force structures are considered as fields bounded statistical moments. Mathematical expressions solution procedure developed produce uncertain-but-bounded characteristics responses, namely interval mean value, deviation bounding distribution functions. probability density cumulative response then effectively visualized means Polynomial Chaos Expansion. feasibility effectiveness presented method illustrated three numerical examples.
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