Structural response for stochastic kinematic interaction

Abstract

The influence of stochastic kinematic interaction (SKI) on structural response is investigated in this paper. The SKI is evaluated through a computational model based on the boundary element method (BEM) formulated in the frequency domain. The singular integrals required in the computation of BEM are evaluated in a closed form. It is assumed that the foundation input motion (FIM) is the result of the superposition of many plane, stationary, correlated stochastic SH‐, P‐ and SV‐waves travelling within a homogeneous viscoelastic soil at different angles. The results obtained indicate that the effect of SKI on the foundation response is qualitatively similar to that of wave passage. Both effects involve a reduction of translational components of the response at intermediate and high frequencies and creation of a rotational response component at intermediate frequencies, which decreases at high frequencies. While, it is found that the SKI decreases the maximum response of structures built on embedded rigid strip foundations excited by SH‐ and P‐waves, it increases the maximum response for SV‐waves, except when the natural frequency of the structure is less than 0.5 Hz and for short structures excited by shallowly incident SV‐waves. Copyright © 2001 John Wiley & Sons, Ltd.

Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil

“…Thus, the combined BEM-TLM approach can handle a wide variety of soil structure interaction problems. Consequently, much research has been undertaken since the early 1980s to the present day, from which we can cite the work of Hadid and Berrah (2001) which investigated the influence of stochastic kinematic interaction on structural response based on the BEM formulated in the frequency domain. Rajapakse and Senjuntichai (1995) developed a mathematical formulation for the impedance functions of a rigid strip-footing on a layered half-space using dynamic Green's functions.…”