This paper discusses the optimal design of foundations subjected to dynamic
loading, using the finite element method to determine the responses of the
system. A three-dimensional finite element programme for dynamic analysis
in time domain has been developed using Newmark's integration scheme for th
e discretization in time domain. In order to consider the infinite extent o
f the foundation domain, unified boundary condition has been adopted. Only
linear material behaviour is included at present. The design variables are
the dimensions of the foundation while the constraints are amplitudes, acce
leration, velocities and frequencies of the system. The results of the nume
rical examples show that the foundations subjected to dynamic loading can b
e designed both economically and effectively using the proposed method. Cop
yright (C) 2001 John Wiley & Sons, Ltd.