Dynamics of structural systems with spatial randomness

objective of this paper is the analysis of the dynamics of structural systems with randomly varying parameters. The formulation and analysis are based on the theory of random integral equations. The general analysis (including error estimation) is applied to the problems of harmonic vibration of(i) a beam with randomly varying density and (ii) a uniform beam resting on a randomly inhomogeneous Winkler foundation. For these applications, the analytical formulae for the mean and correlation function of the response are illustrated numerically and graphically