The present invention relates to a method of preparing a polyurethane elastomer, said method comprising the step of reacting at least one isocyanate composition (ZI) and one polyol composition (ZP) comprising a poly-ε-caprolactone polyol and an α-hydro-ω-hydroxy-poly(oxytetramethylene) polyol to obtain an isocyanate-functional prepolymer and the step of reacting the prepolymer obtained as per step (i) with at least one chain extender (KV). The present invention further relates to a polyurethane elastomer obtained or obtainable according to a method of the invention and also to the method of using a polyurethane elastomer according to the invention or a polyurethane elastomer obtained or obtainable according to a method of the invention in the manufacture of a shaped article, especially a damping element, a shock absorber or a stop buffer or part of a shoe or of a shoe sole, for example part of an insert sole or of a midsole.