Abstract
AbstractThe dynamic behaviour of a system of three‐dimensional, massless, rigid, surface foundations of arbitrary shape perfectly bonded to the elastic half‐space is numerically studied with the frequency domain boundary element method. This method employs the dynamic Green's function for the surface of the half‐space and this results in a discretization of only the soil‐foundation interfaces. In addition, use of isoparametric quadratic quadrilateral boundary elements increases the accuracy of the method, which is confirmed by comparison with other known numerical solutions. Externally applied loads, harmonically varying with time, are considered. The through the soil coupling effect between the foundations as a function of distance and frequency is assessed through extensive parametric studies involving two and four rigid foundations being isolated or interconnected. It is found that the assertion of ATC‐3 regulations that omission of coupling effects leads to conservative results is not always correct for all frequencies.
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