Design of machine foundations that are subject to dynamic loading require

that their amplified displacement is within certain limit so that such displacement

doesn’t impede the operation of the machine they are supporting. For the design of

such foundations, several methods are available that are based on a mathematical

solution of the differential equation that represents dynamic loads on an elastic half

space. When the soil conditions are not uniform, the response cannot be predicted

accurately by these methods and hence numerical methods should be used to analyze

the problem. This research presents a numerical solution to a foundation subject to

dynamic loading considering: 1) the effect of soil layering on the dynamic response.

Specifically, a footing rests on a finite soil layer over an elastic half space and 2) the

effect of the depth of embedment of a foundation in a homogenous elastic half space

on its dynamic response