We study the dynamic response of multiple flexible strip foundations resting on a
multilayered poroelastic half-plane subjected to time-harmonic vertical loading. The
contact surface between the strip foundations and the half-plane is assumed to be
smooth and either fully permeable or impermeable. The half-plane under
consideration consists of a number of layers with different thicknesses and material
properties, and is governed by Biot’s poroelastodynamic theory. The vertical
deflection of the strip foundation is represented by an admissible function containing
a set of generalized coordinates. Solutions for generalized coordinates are obtained by
establishing the equations of motion of the foundation through the application of
Lagrange’s equations of motion. Selected numerical results are presented to
demonstrate the influence of foundation rigidity, hydraulic boundary conditions, layer
properties and configuration, and distance of adjacent foundations on dynamic
interaction between flexible strip foundations and a multilayered poroelastic
half-plane.
