A new random boundary element formulation applied to high frequency phenomena

The basis of a new boundary element method adapted to wide frequency range applications is proposed in this paper. The formulation employs the frequen cy domain dynamic fundamental solutions of the problems. Random geometrical parameters are introduced in the integral equations. These equations are t hen modified to exhibit the products of the different kinematic variables. The expectations of the new equations with respect to the latter random var iables are considered, and the new variables of the formulation are the dif ferent stochastic moments force-displacement variables. This formulation is applied to different structures, such as beams, rods and assembled one-dim ensional systems. (C) 1999 Academic Press.