This article is cited in 3 papers

Propagation of a low-frequency wave component in a model of a block medium

V. A. Saraikin<sup>ab

a</sup> Institute of Mining, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630091, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: This paper studies the properties of a model of a block medium consisting of absolutely rigid blocks separated by deformable layers. The model is proposed to describe the low-frequency spectral region of a perturbation wave propagating in the medium of this structure. The model is based on the assumption that the low-frequency part of the wave train provides the least distorted information on the average characteristics of the structure of the medium on the wave pathway. Calculation of waves in a one-dimensional assembly of blocks (rods) and deformable layers show that the model ignoring the deformation of the blocks is applicable only in the case where the stiffness of the layer is low compared to the stiffness of the rod. A correction is applied to eliminate this restriction in the case of a long-wave approximation.

Keywords: block medium, conditions on contact layers, nonstationary waves, crumpling, stiffness of spring.

UDC: 539.3

Received: 19.12.2008

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:6, 1063–1070

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