Based on the Newmark time stepping formulas a direct numerical integra
tion procedure is developed for the nonstationary response analysis of
structures subjected to nonwhite random exitations. The derived formu
las for the computation of the nonstationary response variance are rec
ursive and easy to implement. The stability of the proposed procedure
is discussed. It is shown that the stability conditions are the same a
s that for deterministic cases. The example given in this paper shows
that the introduced procedure is computationally quite efficient as co
mpared to the conventional one. Copyright (C) 1996 Elsevier Science Lt
d.