Application of the theory to the study billot forced oscillations of the porous structure | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 11 > №2 / 2005 / Pages: 276-297

Application of the theory to the study billot forced oscillations of the porous structure

Abstract:

The article discusses the general theoretical questions of calculation of forced harmonic oscillations of porous structures, saturated with liquid. The differential equations of motion recorded relative displacement vector of the solid phase and the liquid phase is obtained based on general relationships poroelasticity Billault theory. The resulting system of coupled equations allows simple analytical solutions, analysis of which can help to better understand the physical principles that cause particularly dynamic behavior of porous bodies and structures. The developed approach can be used for the calculation of biological tissues, such as the long bones of the musculoskeletal system, ligaments, cartilage, tendons and skeletal muscles, for which the mathematical description of the theory of two-phase media is the most natural. The algorithm for calculating the forced oscillation poroelasticity can be used for vibration analysis of layered structures and porous foam-like bodies, are widely used in insulation systems, as well as in geomechanics in the analysis of elastic wave propagation in saturated soils and rocks.

Keywords:

0