Abstract: A method of coating to produce a two-layer, vibration-absorbing and anti-corrosive, abrasion-resistant coating for rigid substrates, in particular for sheet metals in the underbody region of motor vehicles, for reducing the noise caused by impacting particles, comprises an inner layer, facing the substrate, of a polymer A and a plasticizer P.sub.1, and a covering layer of a polymer B and a plasticizer P.sub.2, such that either the polymers A and B have a different chemical composition and the polymer A is essentially incompatible with the plasticizer P.sub.2 and the polymer B is essentially incompatible with the plasticizer P.sub.1, or both layers contain essentially the same concentration of one plasticizer (P.sub.1 =P.sub.2), so that there is no risk of one layer being impaired by the plasticizer from the other layer.