Computational Aspects of Probability in Non-Linear Mechanics

摘要

Some ways on how probabilistic aspects may enter non-linear mechanics, and how this may be treated numerically are described. Deterministic systems with stochastic excitation are well known, and here the emphasis is on uncertain systems, where the randomness is assumed spatial. Traditional computational approaches usually use some form of perturbation or Monte Carlo simulation. This is contrasted here with more recent methods based on stochastic Galerkin approximations.