Dynamics of machine foundations with random parameters

Solution of the problem of free and forced vibration of a discrete system with random parameters, as a model of a machine foundation, is considered. Expressions for the expected values and correlation functions of the solution are formulated, in terms of the probabilistic characteristics of the structure, initial conditions and excitation, which are assumed to be known. The stochastic linearization method is used. The solution is illustrated by an example of a block foundation with random parameters.