A hybrid method for three-dimensional problems of dynamics of foundations

A method is developed applicable to problems of dynamics of arbitrary-geometry foundations. Finite elements are employed in the near field in order to obtain a discrete solution. In the far field, a semidiscrete solution is synthesized from modes also calculated by the finite element method. The solutions are matched by applying the stationarity condition of a functional. Examples of application are presented in order to verify the validity and illustrate the use of the method.