Abstract
In the analysis of many dynamic soil-foundation interaction problems we have to deal with the unbounded dynamic systems for which the material parameters of the semi-infinite elastic medium are random functions of space variables. This paper, related to the above-mentioned problem deals with the range of validity of the approximate average solution for the simplified equation of motion. The solution is obtained by means of two different methods: Adomian's decomposition and Bourret's approximation. The formula for the error evaluation is derived and mean square convergence of the solution series is proved. Parametric study shows that Bourret's approximation may lead to quite reasonable results.
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