Averaging the equations of small oscillations in a prestressed randomly inhomogeneous medium / V. A. Goncharuk, Yu. A. Kukharenko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. ? 1. P. 74-77 [Moscow Univ. Mech. Bulletin. Vol. 65, N 1, 2010. P. 18-21].

This paper is concerned with the theoretical study of vibration propagation in anisotropic stochastic inhomogeneous media such as granulated material and porous media, in the area of high initial tension. An exact equation for the mean deformation of media is derived. The Feynman diagram technique developed in quantum field theory is used to deal with appeared infinite series. A stress dependence of the vibration spectrum is shown.

Key words: nonlinear random inhomogeneous medium, diagram technique, vibration spectrum.