In practical soil-structure analysis a number of basic issues need to
be addressed. First, the soil-structure interaction problems are gener
ally of a very large size. A suitable transformation should therefore
be used to reduce the size of the problem. Second, analysis in the fre
quency domain, which is the preferred method for problems involving wa
ve propagation in an infinite soil medium, usually requires the applic
ation of discrete Fourier transformation. The use of such transformati
on often leads to unacceptable errors caused by aliasing or overlappin
g. Analytical techniques that address these issues an: presented here.
A set of Ritz vectors based on the concept of component mode synthesi
s is developed for the transformation of the interaction problem. The
method of artificial damping, developed by two of the authors, and rep
orted earlier, is applied in the solution to avoid the problem of alia
sing. The effectiveness of these techniques is illustrated by means of
some examples of soil-structure interaction. (C) 1997 Elsevier Scienc
e Ltd.