The invention relates to a process for multi-layer coating of substrates,
in particular vehicles and vehicle parts, by applying two or more coating
layers and curing of the applied coatings, wherein at least one of the
coating layers is produced from a coating composition which comprises at
least one polyurethane binder with free-radically polymerizable olefinic
double bonds in the form of (meth)acryloyl groups and with hydrolysable
alkoxysilane groups, wherein the resin solids content of the coating
composition exhibits an equivalent weight of C.dbd.C double bonds of
200-2000, preferably of 300-1500, and a content of silicon bound in
alkoxysilane groups of 1-10 wt-%, preferably of 1-7 wt-%, especially
preferably of 2-6 wt-%, and wherein curing of the coating layer, of which
there is at least one, proceeds by free-radical polymerisation of the
C.dbd.C double bonds on irradiation with high energy radiation and by the
formation of siloxane bridges under the action of moisture.