Stochastic wave finite element for random periodic media through first-order perturbation

Wave propagation features in random guided elastic media are considered in this paper. A formulation named stochastic wave finite element (SWFE) is offered. This formulation allows wave characteristics definition by means of a stochastic finite element model. The case of spatially homogeneous random properties is dealt with, through a parametric probabilistic technique. Numerical experiments show the effectiveness of the proposed approach to predict the statistics of guided wave propagation characteristics (means and standard deviations) when compared to Monte Carlo calculations.