Horizontal-rocking vibrations of a rigid permeable stamp resting on a two-phase porous fluid-saturated base (Q2755184)

Steady vibrations of a rigid block based on a porous liquid-saturated base with viscoelastic solid skeleton are investigated. The block is subjected to horizontal force or torque. The equations of two-phase Biot media, taking into account inertial and viscous interactions of phases, are used for the determination of displacements of the base. By the method of orthogonal polynomials, a system of dual integral equations of the contact problem (with a drained contact with coupling of rigid block and solid phase) is reduced to an infinite system of linear algebraic equations. On the basis of numerical solution, the dynamic and kinematic characteristics of motion of a block and distribution of contact stresses in the solid phase is evaluated. The dependence of these values on the permeability of base material (half-space) is investigated.