Abstract
This article presents error estimates for the expected value and variance of the stochastic process of transverse displacement of an Euler-Bernoulli beam, with uncertainty in the mechanical properties of the materials. Estimators are obtained using the Neumann-Monte Carlo, Yamazaki et al. (Citation1988) methodology. The theoretical results are unprecedented and use the properties of the Neumann series. The error rates are shown to have exponential decay. To evaluate the performance of the error estimates, numerical experiments are presented for the problem of stochastic bending of beams.
Acknowledgements
Special thanks to Antonio Avila.