A coating material comprising at least two radiation-curable polyurethanes and in dispersion in water, polyurethane having been synthesized from (Aa) at least one aliphatic di- or polyisocyanate, (Ab) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one radically polymerizable C=C double bond, (Ac) optionally at least one compound having at least two groups that are reactive toward isocyanate groups and are selected from hydroxyl, mercapto, and primary and/or secondary amino groups, (Ad) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one acid group, (Ae) at least one basic compound for full or partial neutralization of the acid groups of the compounds Ad), (Af) optionally at least one compound different from Ab), Ad), and Ae) and having only one group that is reactive toward isocyanate groups, (Ag) optionally at least one di- or polyisocyanate other than Aa), and the polyurethane having been synthesized from (Ba) at least one cycloaliphatic or aromatic di-or polyisocyanate, (Bb) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one radically polymerizable C=C double bond, (Bc) optionally at least one compound having at least two groups that are reactive toward isocyanate groups and are selected from hydroxyl, mercapto, and primary and/or secondary amino groups, (Bd) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one acid group, (Be) at least one basic compound for full or partial neutralization of the acid groups of the compounds Bd), (Bf) optionally at least one compound different from Bb), Bd), and Be) and having only one group that is reactive toward isocyanate groups, (Bg) optionally at least one aliphatic di- or polyisocyanate other than Ba), optionally further adjuvants selected from reactive diluents, photoinitiators, and customary coatings adjuvants, water, and optionally at least one di- and/or polyamine, the polyurethane on its own after drying over a period of 16 to 24, preferably 24, hours at a wet film thickness of 200 μm, a temperature of 20 to 24°C, and a relative humidity of 40% to 60%, and before UV curing, having a pendulum damping to DIN 53157 of at least 50 swings, and the mixing ratio of polyurethane and polyurethane being selected such that the mixture thereof after drying over a period of 16 to 24, preferably 24, hours at a wet film thickness of 200 μm, a temperature of 20 to 24°C, and a relative humidity of 40% to 60%, and before UV curing, has a pendulum damping to DIN 53157 of at least 5, preferably at least 20, swings. (Aa) at least one aliphatic di- or polyisocyanate, (Ab) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one radically polymerizable C=C double bond, (Ac) optionally at least one compound having at least two groups that are reactive toward isocyanate groups and are selected from hydroxyl, mercapto, and primary and/or secondary amino groups, (Ad) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one acid group, (Ae) at least one basic compound for full or partial neutralization of the acid groups of the compounds Ad), (Af) optionally at least one compound different from Ab), Ad), and Ae) and having only one group that is reactive toward isocyanate groups, (Ag) optionally at least one di- or polyisocyanate other than Aa), and the polyurethane having been synthesized from (Ba) at least one cycloaliphatic or aromatic di-or polyisocyanate, (Bb) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one radically polymerizable C=C double bond, (Bc) optionally at least one compound having at least two groups that are reactive toward isocyanate groups and are selected from hydroxyl, mercapto, and primary and/or secondary amino groups, (Bd) at least one compound having at least one group that is reactive toward isocyanate groups, and having at least one acid group, (Be) at least one basic compound for full or partial neutralization of the acid groups of the compounds Bd), (Bf) optionally at least one compound different from Bb), Bd), and Be) and having only one group that is reactive toward isocyanate groups, (Bg) optionally at least one aliphatic di- or polyisocyanate other than Ba), optionally further adjuvants selected from reactive diluents, photoinitiators, and customary coatings adjuvants, water, and optionally at least one di- and/or polyamine,