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国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v29.i5.100
14 pages

Horizontal Rotational Oscillations of a Rigid Permeable Die Placed on a Two-Phase Poroelastic Base

A. N. Trofimchuk
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
A. M. Gomilko
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
O. A. Savitsky
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

The paper addresses the harmonic oscillations of a rigid die placed on a porous liquid-saturated base with a viscoelastic solid skeleton when the die is acted upon by either a horizontal force or a torque. The equations of the Biot's two-phase medium taking into account the inertial and viscous interactions between the phases govern the base's displacements. By the method of orthogonal polynomials, the system of double integral equations of the contact problem (under the drained contact with the coupling of the rigid die and the solid phase of the two-phase media) is reduced to an infinite system of linear algebraic equations. The dynamic and kinematic characteristics of the die's motion and the distribution of the contact stresses in the solid phase are calculated numerically. The dependence of the considered magnitudes on the permeability of the base's (half-plane) material is investigated.


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