A semi-active dynamic vibration absorber with an array of viscoelastic elements is studied. The viscoelastic elements are modelled as materials with memory in which the internal dissipative forces depend on current, as well as previous deformations. The viscoelastic behavior is governed by two parameters: the relaxation modulus G0, and the relaxation time γ. The principle of time-temperature superposition is used to affect a dependence of the relaxation time γ on temperature. It is shown that this temperature dependence can be utilized to design a dynamic vibration absorber whose suppression band can be shifted towards larger or smaller frequencies, thereby creating an effective suppression band considerably wider than that of a conventional dynamic vibration absorber.