  A family of generalized S-brane solutions with orthogonal intersection rules
and n Ricci-flat factor spaces in the theory with several scalar fields,
antisymmetric forms and multiple scalar potential is considered. Two subclasses
of solutions with power-law and exponential behaviour of scale factors are
singled out. These subclasses contain sub-families of solutions with
accelerated expansion of certain factor spaces. Some examples of solutions with
exponential dependence of one scale factor and constant scale factors of
"internal" spaces (e.g. Freund-Rubin type solutions) are also considered.
