Harmonic vibrations of a rigid impervious punch on a porous elastic base

A problem on harmonic vibrations of a rigid impervious punch on a liquid-saturated poroelastic base is considered. The base is modeled by a system of Blot equations. These equations take into account elastic, inertial, and viscous interactions of the solid and liquid phases. To solve the corresponding boundary-value problem, the solution of the Lamb problem for a poroelastic half-plane and the method of orthogonal polynomials are used. Features of the contact stresses are examined depending on the vibration frequency and base permeability.