VERTICAL VIBRATIONS OF A RIGID DISK ON A MULTI-LAYERED POROELASTIC MEDIUM

Abstract eng:
This paper considers time-harmonic vertical vibrations of a rigid circular disk resting on the surface of a multi-layered poroelastic half space. The half space under consideration consists of a number of layers with different thickness and material properties. The interaction problem is analyzed by dividing the contact surface between a disk and a layered half space into a number of concentric annular rings with uniform distribution of traction. Nodal points are selected at the center of each annular region. A flexibility equation system is established to determine the intensity of contact tractions at different nodal locations by imposing the appropriate rigid body displacement boundary conditions. The influence functions required to establish the flexibility equation system correspond to the displacement Green 's functions of a multilayered poroelastic half space based on Biot 's elastodynamic theory for porous media. Selected numerical results for vertical compliances and contact stresses of a rigid disk on different poroelastic media are presented to portray the influence of poroelastic effects on the dynamic response.

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