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Study of vibrational characteristics of poroelastic mechanical systems

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Abstract

The paper deals with theoretical problems of analysis of forced harmonic vibrations in liquid-saturated porous structures. The differential equations of motion written for the vector of the solid phase displacements and the liquid phase pressure are derived from the equations of phase component dynamics and the constitutive equations of anisotropic continuum. An example of transverse vibrations of a porous framing is used to study the influence of material constants on the dynamic characteristics of a poroelastic system. It is shown that an increase in the excitation frequency significantly increases the effect of inertial interaction between the phases of the poroelastic material, especially for the amplitudes of the liquid pressure in the pores. Thus, to obtain exact solutions of problems of poroelastic material dynamics, it is necessary to take into account all types of interaction between the solid and liquid phases of heterogenous materials.

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Authors and Affiliations

  1. Ivanovo State Power Engineering University, Rabfakovskaya 34, Ivanovo, 153003, Russia

    L. B. Maslov

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  1. L. B. Maslov
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Correspondence to L. B. Maslov.

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Original Russian Text © L.B. Maslov, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 2, pp. 78–92.

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Maslov, L.B. Study of vibrational characteristics of poroelastic mechanical systems. Mech. Solids 47, 221–233 (2012). https://doi.org/10.3103/S0025654412020094

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