Transient dynamic response of pile to vertical load in saturated soil

This investigation is concerned with the dynamic response of a pile embedded in a saturated half-space subjected to transient vertical loading. The pile is represented by a beam element, and the saturated medium uses Biot’s three-dimensional elastodynamic theory. The governing equation, which is formulated under the approximation that the strain of the fictitious pile is equal to the corresponding average over a circular area in the extended half-space, is found to be a Fredholm integral equation, and solved by an appropriate numerical method. Time domain solutions are obtained by using numerical Fourier inversion transformation. Some numerical results are given.