Forced Vertical Vibration of Circular Plate in Multilayered Poroelastic Medium

his paper considers the vertical vibrations of an elastic circular plate in a multilayered poroelastic half space. The plate is ubjected to axisymmetric time-harmonic vertical loading and its response is governed by the classical thin-plate theory. The contact urface between the plate and the multilayered half space is assumed to be smooth and either fully permeable or impermeable. The half pace under consideration consists of a number of layers with different thicknesses and material properties and is governed by Biotʹs oroelastodynamic theory. The vertical displacement of the plate is represented by an admissible function containing a set of generalized oordinates. Contact stress and pore pressure jump are established in terms of generalized coordinates through the solution of flexibility quations based on the influence functions corresponding to vertical and pore pressure loading. Solutions for generalized coordinates are btained by establishing the equation of motion of the plate through the application of Lagrangeʹs equations of motion. Selected numerical esults are presented to portray the influence of various parameters on dynamic interaction between an elastic plate and a multilayered oroelastic half space.