Investigation of vertical vibrations of rigid disk on saturated poroelastic stratum under high-frequency excitation

The forced high-frequency vertical vibrations of a rigid circular disk on a saturated poroelastic stratum supported by a rigid rock foundation are studied. An exact formulation is developed for the dual integral equations governing the mixed boundary-value problem of the vertical vibration. By finding an approximate solution to the exact governing dual integral equations, an evaluation of the amplitude response of the rigid disk is presented for the case of a frictionless contact both between the disk and the stratum and between the stratum and the foundation. The influences of parameters regarding the disk and the elastic stratum on the amplitude response of the disk are discussed. It is concluded that the amplitude response of the disk is dependent on the exciting frequency, the depth of the stratum, the Poison’s ratio of the solid skeleton, the porosity of the medium and the radius and mass of the disk.